Publications

Published

2024

(2024) L. Dal Negro, H. Cao, M. Filoche, S. A. Schulz, S. Vignolini, D. S. Wiersma, ``Beyond Order: Random, Aperiodic, and Hyperuniform Photonic Materials: introduction to the special issue,'' Opt. Mater. Express 14(5), 1293-1294 (2024). DOI: 10.1364/OME.527426
(2024)The maximum of log-correlated Gaussian fields in random environment, F. Schweiger, O.
Zeitouni, Comm. Pure Appl. Math. 77 (2024), no. 5, 27782859
(2024) Finite range decompositions of Gaussian fields with applications to level-set percolation,
F. Schweiger, J. Funct. Anal. 286 (2024), no. 5, Paper No. 110285
Saulius Marcinkevicius, Tanay Tak, Yi Chao Chow, Feng Wu, Rinat Yapparov, Steven P. DenBaars, Shuji Nakamura, James S. Speck, “Dynamics of carrier injection through V-defects in long wavelength GaN LEDs,” Applied Physics Letters 124, 181108 (2024). https://doi.org/10.1063/5.0206357.
Tanay Tak, Alejandro Quevedo, Feng Wu, Srinivas Gandrothula, Jacob Ewing, Stephen Gee, Shuji Nakamura, Steven P. DenBaars, James S. Speck, “Planarization of p-GaN surfaces on MOCVD grown V-defect engineered GaN-based LEDs,” Applied Physics Letters 124, 172102 (2024). https://doi.org/10.1063/5.0200424
(2024) Non-local distance functions and geometric regularity (with Max Engelstein and Cole Jeznach), Advances in Mathematics, published, arXiv:2208.07342, https://doi.org/10.48550/arXiv.2208.07342.
(2024) Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates (with Simon Bortz, Steve Hofmann, Jose´ Luis Luna Garcia, Bruno Poggi), Archive for Rational Mechanics and Analysis, published, https://arxiv.org/abs/2302.02746, https://doi.org/10.48550/arXiv.2302.02746.
(2024) The Anderson mobility edge as a percolation transition, (with Marcel Filoche, Pierre Pelletier, Dominique Delande), Physical Review B, published, http://arxiv.org/abs/2309.03813, https://doi.org/10.1103/PhysRevB.109.L220202.
(2024) Decoupling excitons from high-frequency vibrations in organic molecules, P. Ghosh, A. M. Alvertis, R. Chowdhury, P. Murto, A. J. Gillett, S. Dong, A. J. Sneyd, H.-H. Cho, E. W. Evans, B. Monserrat, F. Li, C. Schnedermann, H. Bronstein, R. H. Friend, and A. Rao, Nature 629, 355-362 (2024) doi.org/10.1038/s41586-024-07246-x.
(2024) Every real-rooted exponential polynomial is the restriction of a Lee-Yang polynomial. Lior Alon, Alex Cohen, and Cynthia Vinzant. J. Funct. Anal. 286 No 2. 15 January 2024, 110226. doi.org/10.1016/j.jfa.2023.110226.
(2024) Gap distributions of Fourier Quasicrystals with integer weights via Lee-Yang polynomials. Lior Alon, and Cynthia Vinzant. Rev. Mat. Iberoam. published 22 April 2024 DOI10.4171/RMI/1485.
(2024) Nodal sets of eigenfunctions of sub-Laplacians, Suresh Eswarathasan and Cyril Letrouit, Int. Math. Res. Not. IMRN(2023), no. 23, 20670–20700. DOI 10.1093/imrn/rnad219 (arxiv.org/abs/2301.11075).
(2024) Maximal multiplicity of Laplacian eigenvalues in negatively curved surfaces, Cyril Letrouit and Simon Machado, Geom. Funct. Anal., 25 July 2024 DOI 10.1007/s00039-024-00691-w, arxiv.org/abs/2307.06646.
Mikhail Basok, Danila Cherkashin, Nikita Rastegaev, and Yana Teplitskaya. On uniqueness in Steiner problem. To appear in International Mathematics Research Notices, 2024.

2023

(2023) Multiscale coupling and the maximum of P(')2 models on the torus. N. Barashkov,
M. Hofstetter, T. S. Gunaratnam. Communications in Mathematical Physics, 404, 833-882.
Tanay Tak, Cameron W. Johnson, Wan Ying Ho, Feng Wu, Mylène Sauty, Steve Rebollo, Andreas K. Schmid, Jacques Peretti, Yuh-Renn Wu, Claude Weisbuch, James S. Speck, “Injection mechanisms in a III-nitride light-emitting diode as seen by self-emissive electron microscopy,” Physical Review Applied 20, 064045 (2023). https://doi.org/10.1103/PhysRevApplied.20.064045
Saulius Marcinkevicius, Jacob Ewing, Rinat Yapparov, Feng Wu, Shuji Nakamura, James S. Speck, “Experimental evidence of hole injection through V-defects in long wavelength GaN-based LEDs,” Applied Physics Letters 123, 201102 (2023).
https://doi.org/10.1063/5.0179513
Tsung-Yin Tsai, Kai Shek Qwah, Jean-Philippe Banon, Marcel Filoche, Claude Weisbuch, Yuh-Renn Wu, James S. Speck, “Carrier localization in III-nitride versus conventional III-V semiconductors: A study on the effects of alloy disorder using landscape theory and the Schrödinger equation,” Physical Review Applied 20, 044069 (2023).
https://doi.org/10.1103/PhysRevApplied.20.044069
Saulius Marcinkevicius, Yi Chao Chow, Shuji Nakamura, James S. Speck, “Effect of Mg doping on carrier recombination in GaN,” Journal of Applied Physics 134, 085703 (2023).
https://doi.org/10.1063/5.0157378
Yi Chao Chow, Tanay Tak, Feng Wu, Jacob Ewing, Shuji Nakamura, Steven P. DenBaars, Yuh-Renn Wu, Claude Weisbuch, James S. Speck, “Origins of the high-energy electroluminescence peaks in long-wavelength (~495–685?nm) InGaN light-emitting diodes,” Applied Physics Letters 123, 091103 (2023). https://doi.org/10.1063/5.0167779
Wan Ying Ho, Yi Chao Chow, Zachary Biegler, Kai Shek Qwah, Tanay Tak, Ashley-Wissel-Garcia, Iris Liu, Feng Wu, Shuji Nakamura, James S. Speck, “Atomic layer etching (ALE) of III-nitrides,” Applied Physics Letters 123, 062102 (2023).
https://doi.org/10.1063/5.0159048
Wan Ying Ho, Cameron W. Johnson, Tanay Tak, Mylène Sauty, Yi Chao Chow, Shuji Nakamura, Andreas Schmid, Jacques Peretti, Claude Weisbuch, James S. Speck, “Steady-state junction current distribution in p-n GaN diodes measured using low-energy electron microscopy (LEEM),” Applied Physics Letters 123, 031101 (2023).
https://doi.org/10.1063/5.0153947
(2023) Green functions and smooth distances (with Joseph Feneuil and Linhan Li), Math. Ann., published, DOI: 10.1007/s00208-023-02715-6, arXiv:2211.05318.
(2023) Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains (with Steve Hofmann, Jose´ Mari´a Martell), Analysis & PDE, published, DOI: 10.1090/tran/9004, https://arxiv.org/abs/1904.13116.
(2023) Small A8 results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries (with Guy David, Linhan Li), Transactions of the AMS, published, arXiv:2207.13602, https://doi.org/10.1090/tran/9004.
(2023) G. David, J. Feneuil, and S. Mayboroda.“Elliptic Theory in Domains with Boundaries of Mixed Dimension.” Astérisque, vol. 442, published, http://arxiv.org/abs/2003.09037, https://doi.org/10.48550/arXiv.2003.09037.
(2023) C. Jeznach, G. David, A. Julia. Cantor sets with absolutely continuous harmonic measure, J. Éc. polytech. Math. 10 (2023), 1277–1298, https://doi.org/10.5802/jep.245.
(2023) The emergence of clusters in self-attention dynamics, Borjan Geshkovski, Cyril Letrouit, Yury Polyanskiy and Philippe Rigollet, NeurIPS (2023). arxiv.org/abs/2305.05465.
(2023) Morse theory for discrete magnetic operators and nodal count distribution for graphs by Lior Alon and Mark Goresky, J. Spectr. Theory 13 (2023), 1225–1260. DOI 10.4171/JST/468.
Guy David, Antoine Gloria, and Cole Jeznach. Cantor sets with absolutely continuous harmonic measure. Journal de l'École Polytechnique-Mathématiques, Tome 10 (2023), pp. 1277-1298. https://jep.centre-mersenne.org/articles/10.5802/jep.245/
Joseph Feneuil, Linhan Li, and Svitlana Mayboroda. Green functions and smooth distances. Math. Ann. (2023). https://doi.org/10.1007/s00208-023-02715-6.
Joseph Feneuil and Linhan Li, A Green function characterization of uniformly rectifiable sets of any codimension. Advances in Mathematics, Volume 430, 2023, 109--220. ISSN 0001-8708, https://doi.org/10.1016/j.aim.2023.109220.
A. Henrot, M. Michetti. Optimal bounds for Neumann eigenvalues in terms of the diameter. Ann. Math. Québec (2023) (published online) doi.org/10.1007/s40316-023-00218-z
M. Michetti. Steklov-Dirichlet spectrum: stability, optimization and continuity of eigenvalues Preprint . https://arxiv.org/abs/2202.08664
B. Bogosel, A. Henrot, M. Michetti. Optimization problems for Neumann eigenvalues under convexity and geometric constraint. ArXiv.
Polina Perstneva. On an obstacle to the converse of Dahlberg's theorem in high dimensions. Math. Z. 305, 6 (2023). https://doi.org/10.1007/s00209-023-03329-z
Danila Cherkashin and Yana Teplitskaya. A Self-Similar Infinite Binary Tree Is a Solution to the Steiner Problem. Fractal and Fractional. 2023; 7(5):414. https://doi.org/10.3390/fractalfract7050414 (published https://www.mdpi.com/2504-3110/7/5/414)
Alexey Gordeev, Yana Teplitskaya. On regularity of maximal distance minimizers in R^n . The Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 2023. DOI: 10.2422/2036-2145.202208_004
Y. C. Chow, T. Tak, F. Wu, J. Ewing, S. Nakamura, S.P. DenBaars, Y-R. Wu, C. Weisbuch, J.S. Speck. Origins of the high-energy electroluminescence peaks in long-wavelength (~495-685 nm) InGaN light-emitting diodes. Appl. Phys. Lett. 123, 091103 (2023). https://doi.org/10.1063/5.0167779.
Y.C. Chow, C. Lynsky, S. Nakamura, S.P. DenBaars, C. Weisbuch, J.S. Speck. Low-efficiency-droop c-plane InGaN/GaN light-emitting diodes through the use of thick single quantum wells and doped barriers. Journal of Applied Physics 133, 143101 (2023).
W.Y. Ho, Y.C. Chow, S. Nakamura, J. Peretti, C. Weisbuch, J.S. Speck. Measurement of minority carrier diffusion length in p-GaN using electron emission spectroscopy (EES). Appl. Phys. Lett. 122, 212103 (2023). https://doi.org/10.1063/5.0150029
W. Y. Ho, C. W. Johnson, T. Tak, M. Sauty, Y. C. Chow, S. Nakamura, A. Schmid, J. Peretti, C. Weisbuch, J. S. Speck. Steady-state junction current distribution in p-n GaN diodes measured using low-energy electron microscopy (LEEM). Appl. Phys. Lett. 123, 031101 (2023).
W. Y. Ho, Y. C. Chow, Z. Biegler, K. S. Qwah, T. Tak, A. Wissel-Garcia, I. Liu, F. Wu, S. Nakamura, J. S. Speck. Atomic layer etching (ALE) of III-nitrides. Appl. Phys. Lett. 123, 062102 (2023).
W. Y. Ho, A. I. Alhassan, C. Lynsky, Y. C. Chow, D. J. Meyers, S. P. DenBaars, S. Nakamura, J. Peretti, C. Weisbuch, J. S. Speck. Detection of hot electrons originating from an upper valley at ~1.7 eV above the Γ valley in wurtzite GaN using electron emission spectroscopy. Physical Review B 107, 035303 (2023).
T. Y. Tsai, K. S. Qwah, J-P. Banon, M. Filoche, C. Weisbuch, Y-R. Wu, J. S. Speck. Carrier localization in III-nitride versus conventional III-V semiconductors: A study on the effects of alloy disorder using landscape theory and the Schrödinger equation. Physical Review Applied 20, 044069 (2023).
S. Marcinkevicius, Y. C. Chow, S. Nakamura, J. S. Speck. Effect of Mg doping on carrier recombination in GaN. Journal of Applied Physics 134, 085703 (2023).
S. Marcinkevicius, J. Ewing, R. Yapparov, F. Wu, S. Nakamura, J. S. Speck. Experimental evidence of hole injection through V-defects in long wavelength GaN-based LEDs. Appl. Phys. Lett. 123, 201102 (2023).
S. Marcinkevicius, E. Valkiunaite, Z. Podlipskas, K. Nomeika, S. Nargelas, G. Tamulaitis, Y. C. Chow, S. Nakamura, J. S. Speck, C. Weisbuch, R. Aleksiejunas. Dynamics of double-peak photoluminescence in m-plane InGaN/GaN MQWs. Journal of Luminescence 257, 119732 (2023).
M. Sauty, N. Alyabyeva, C. Lynsky, Y. C. Chow, S. Nakamura, J. S. Speck, Y. Lassailly, A. C. H. Rowe, C. Weisbuch, J. Peretti. Probing Local Emission Properties in InGaN/GaN Quantum Wells by Scanning Tunneling Luminescence Microscopy. Phys. Status Solidi B, 260, 2200365 (2023).
A. Thayil, M. Filoche, “Realization-dependent model of hopping transport in disordered media,” Appl. Phys. Lett. 123, 252102 (2023). DOI: 10.1063/5.0177082. arxiv:2306.09176 [cond-mat.dis-nn]
Guy David, Linhan Li, and Svitlana Mayboroda. Small $A_\infty$ results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries. Trans. Amer. Math. Soc. 376, 7857-7909. (2023). DOI: 10.1090/tran/9004.
G. David, J. Feneuil, and S. Mayboroda. Elliptic theory in domains with boundaries of mixed dimension. Astérisque (2023). DOI:10.24033/ast.1202.
S. Eswarathasan, C. Letrout. Nodal Sets of Eigenfunctions of Sub-Laplacians. International Mathematics Research Notices, rnad2019, DOI: 10.1093/imrn/rnad219.
B. Geshkovski, C. Letrouit, Y. Polyanskiy, P. Rigollet. The emergence of clusters in self-attention dynamics. Neural Information Processing Systems, NeurIPS 2023. https://doi.org/10.48550/arXiv.2305.05465
I. Chenn, S. Mayboroda, W. Wang, and S. Zhang. “On a Novel Effective Equation of the Reduced Hartree-Fock Theory.” Advanced Nonlinear Studies, Special Issue in honor of David Jerison 23 (1). https://arxiv.org/abs/2106.13887. DOI 10.1515/ans-2022-0070.
F. Stellin, M. Filoche, F. Dias, ``Localization landscape for interacting Bose gases in one-dimensional speckle potentials,” Phys. Rev. A 107, 043306. DOI: 10.1103/PhysRevA.107.043306[Submitted last year, now published]
L. A. Razo-López, G. J. Aubry, M. Filoche, F. Mortessagne, ``Low and high-energy localization landscapes for tight-binding Hamiltonians in 2D lattices,” Phys. Rev. Res. 5, 023102. DOI: 10.1103/PhysRevResearch.5.023102.
M. Sauty, N. Alyabyeva, C. Lynsky, Y.C. Chow, S. Nakamura, A. Rowe, Y. Lassailly, J. S. Speck, C. Weisbuch, J. Peretti. “Probing local emission properties in InGaN/GaN quantum wells by scanning tunneling luminescence microscopy”. Phys. Status Solidi B 260, 2200365. doi: 10.1002/pssb.202200365.
W. Y. Ho, A. I. Alhassan, C. Lynsky, Y. C. Chow, D. J. Myers, S. DenBaars, S. Nakamura, J. Peretti, C. Weisbuch, and J. S. Speck. “Detection of Hot Electrons Originating from an upper Valley at ~1.7 eV above the G-valley in Wurtzite GaN using Electron Emission Spectroscopy (EES)”, Phys. Rev. B 107, 035303; doi:
10.1103/PhysRevB.107.035303.
N. Alyabyeva, J. Ding, M. Sauty, J. Woerle, Y. Jousseaume, G. Ferro, J. C. McCallum, J. Peretti, B. C. Johnson, A. C. H. Rowe, “Nanoscale Mapping of Sub-Gap Electroluminescence from Step-Bunched, Oxidized 4H-SiC Surfaces”, Phys. Status Solidi B 260, 2200356 (2023); doi: 10.1002/pssb.202200356
A. C. Ulibarri, R. Kothari, A. Garcia, J.-C. Harmand, S. Park, F. Cadiz, Y. Lassailly, J. Peretti, and A. C. H. Rowe, “A Systematic Study of Spin-Dependent Recombination in GaAs1-xNx as a Function of Nitrogen Content”, Phys. Status Solidi B 260, 2200361 (2023); doi: 10.1002/pssb.202200361.
W. Y. Ho, Y. C. Chow, S. DenBaars, S. Nakamura, J. Peretti, C. Weisbuch, and J. S. Speck. “Measurement of Minority Carrier Diffusion Length in p-GaN using Electron Emission Spectroscopy (EES)”, Appl. Phys. Lett. 122, 212103 (2023); doi: 10.1063/5.0150029.
Y. C. Chow, C. Lynsky, S. Nakamura, S. P. DenBaars, C. Weisbuch, J. S. Speck, “Low-efficiency-droop c-plane InGaN/GaN light-emitting diodes through the use of thick single quantum wells and doped barriers, J. Appl. Phys. 133, 143101 (2023); doi: 10.1063/5.0142035
J. Mickevicius , E. Valkiunaite, Z. Podlipskas , K. Nomeika , S. Nargelas , G. Tamulaitis , Y.C. Chow, S. Nakamura, J.S. Speck, C. Weisbuch, R. Aleksiejunas, “Dynamics of double-peak photoluminescence in m-plane InGaN/ GaN MQWs”, J. Luminescence 257 (2023) 119732 ; doi : 10.1016/j.jlumin.2023.119732
Yi Chao Chow, Yuh-Renn Wu, Tanay Tak, Feng Wu, Jacob Ewing, Claude Weisbuch, Shuji Nakamura, Steven P. DenBaars, and James S. Speck. Origins of the high-energy electroluminescence peaks in long-wavelength (~495–685 nm) InGaN light-emitting diodes,” Appl. Phys. Lett. 123, 091103 (2023); doi: 10.1063/5.0167779.
Wan Ying Ho, Yi Chao Chow, Shuji Nakamura, Jacques Peretti, Claude Weisbuch, and James S. Speck. “Measurement of minority carrier diffusion length in p-GaN using electron emission spectroscopy (EES),” Appl. Phys. Lett. 122, 212103 (2023); doi: 10.1063/5.0150029.
Y. C. Chow, C. Lynsky, S. Nakamura, S.P. DenBaars, C. Weisbuch, and J.S. Speck. “Low-efficiency-droop c-plane InGaN/GaN light-emitting diodes through the use of thick single quantum wells and doped barriers,” J. Appl. Phys. 133, 143101 (2023); doi: 10.1063/5.0142035.
J. Mickevicius, E. Valkiunait, Z. Podlipskas, K. Nomeika, S. Nargelas, G. Tamulaitis, Y.C. Chow, S. Nakamura, J.S. Speck, C. Weisbuch, R. Aleksiejunas. “Dynamics of double-peak photoluminescence in m-plane InGaN/GaN MQWs” Lumiescence 257, 119732 (2023); https://doi.org/10.1016/j.jlumin.2023.119732.
Wan Ying Ho, Abdullah I. Alhassan, Cheyenne Lynsky, Yi Chao Chow, Daniel J. Myers, Steven P. DenBaars, Shuji Nakamura, Jacques Peretti, Claude Weisbuch, and James S. Speck. “Detection of hot electrons originating from an upper valley at ~1.7 eV above the G valley in wurtzite GaN using electron emission spectroscopy” Phys. Rev. B 107, 035303 (2023); DOI: 10.1103/PhysRevB.107.035303.
Mylène Sauty, Natalia Alyabyeva, Cheyenne Lynsky, Yi Chao Chow, Shuji Nakamura, James S. Speck, Yves Lassailly, Alistair C. H. Rowe, Claude Weisbuch, and Jacques Peretti. “Probing Local Emission Properties in InGaN/GaN Quantum Wells by Scanning Tunneling Luminescence Microscopy.” Phys. Stat. Sol. B 260, 2200365 (2023); DOI: 10.1002/pssb.202200365.
Y. Liu, J. P. Banon, K. Frohna, Y. H. Chiang, G. Tumen-Ulzii, S. D. Stranks, M. Filoche, and R. H. Friend. "The Electronic Disorder Landscape of Mixed Halide Perovskites", ACS Energy Letters 8, 250-258 (2023) 10.1021/acsenergylett.2c02352.
S. R. E. Orsborne, J. Gorman, L. R. Weiss, A. Sridhar, N. A. Panjwani, G. Divitini, P. Budden, D. Palecek, S. T. J. Ryan, A. K. Rao, R. Collepardo-Guevara, A. H. El-Sagheer, T. Brown, J. Behrends, R. H. Friend, and F. Auras. "Photogeneration of Spin Quintet Triplet-Triplet Excitations in DNA-Assembled Pentacene Stacks." Journal of the American Chemical Society (2023) 10.1021/jacs.2c13743.
Sebastian Gorgon, Kuo Lv, Jeannine Grüne, Bluebell H Drummond, William K Myers, Giacomo Londi, Gaetano Ricci, Danillo Valverde, Claire Tonnelé, Petri Murto, Alexander S Romanov, David Casanova, Vladimir Dyakonov, Andreas Sperlich, David Beljonne, Yoann Olivier, Feng Li, Richard H Friend, Emrys W Evans. “Reversible spin-optical interface in luminescent organic radicals.” Nature 620, pp. 538-544.
Guy David, Max Engelstein, Mariana Smit Vega Garcia, and Tatiana Toro. Branch points for (almost-)minimizers of two-phase free boundary problems. Forum Math. Sigma 11 (2023), Paper No. e1, 28.
Antoine Julia and Andrea Merlo. On sets with unit Hausdorff density in homogeneous groups. Forum Math. Sigma 11 (2023), Paper No. E36.
J. Feneuil. The Green Function with pole at Infinity Applied to the Study of the Elliptic Measure. Analysis & PDE 16(2), pp. 545-570, DOI: 10.2140/apde.2023.16.545.
Y. Liu, J.-P. Banon, K. Frohna, Y.-H. Chiang, G. Tumen-Ulzii, S.D. Stranks, M. Filoche, and R. Friend. "The Electronic Disorder Landscape of Mixed Halide Perovskites." ACS Energy Lett. 8 (1), 250-258. DOI:10.1021/acsenergylett.2c02352
Y. Meyer. "Crystalline measures in two dimensions." Publicacions Mat. 67 (1), 469-480. DOI: 10.5565/PUBLMAT6712310

2022

A. Henrot, M. Michetti. A comparison between Neumann and Steklov eigenvalues, J. Spectr. Theory, Vol. 12, No. 4 (2022), pp. 1405-1442. DOI 10.4171/JST/429
Z. Dai, J. Feneuil, and S. Mayboroda. “Carleson Perturbations for the Regularity Problem." Revista Matemática Iberoamericana. DOI 10.4171/RMI/1401, arXiv:2203.07992.
Z. Dai, J. Feneuil, and S. Mayboroda. “The Regularity problem in domains with lower dimensional boundaries.” Journal of Functional Analysis 284 (11). DOI: 10.1016/j.jfa.2023.109903, arXiv:2208.00628.
M. Sauty, N. M. S. Lopes, J.-P. Banon, A. Alhassan, Y. Lassailly, J. S. Speck, C. Weisbuch, J. Peretti. “Localization Effect in Photoelectron Transport Induced by Alloy Disorder in Nitride Semiconductor Compounds”. Phys. Rev. Lett. 129, 216602; doi: 10.1103/PhysRevLett.129.216602.
David and C. Weisbuch. “Excitons in disordered InGaN quantum wells: a numerical study of hybrid disorder-Coulomb interaction”, Phys. Rev. Research 4, 043004. doi: 10.1103/PhysRevResearch.4.043004. Y.C. Chow, C. Lynsky, S. Nakamura, S. P. DenBaars, C. Weisbuch and J. S. Speck. “Impact of doped barriers on the recombination coefficients of c-plane InGaN/GaN single quantum well light-emitting diodes”. Appl. Phys. Lett. 121, 181102. Doi: 10.1063/5.0117318.
H. Duminil-Copin, 100 Years of the (Critical) Ising Model on the Hypercubic Lattice, Proc. Int. Cong. Math. (1), DOI: DOI 10.4171/ICM2022/204, arXiv:2208.00864.
“Localization Effect in Photoelectron Transport Induced by Alloy Disorder in Nitride Semiconductor Compounds,” Mylène Sauty, Nicolas M. S. Lopes, Jean-Philippe Banon, Abdullah Alhassan, Yves Lassailly, James S. Speck, Claude Weisbuch, Jacques Peretti Phys. Rev. Lett. 129, 216602 (2022); doi: 10.1103/PhysRevLett.129.216602
“Excitons in disordered InGaN quantum wells: a numerical study of hybrid disorder-Coulomb interaction,” Aurélien David and Claude Weisbuch Phys. Rev. Research 4, 043004 (2022). doi: 10.1103/PhysRevResearch.4.043004
“Impact of doped barriers on the recombination coefficients of c-plane InGaN/GaN single quantum well light-emitting diodes” Y. C. Chow, C. Lynsky, S. Nakamura, S.P. DenBaars, C. Weisbuch, and J.S. Speck Appl. Phys. Lett. 121, 181102 (2022); doi: 10.1063/5.0117318
B. Lecoutre, Y. Guo, X. Yu, M. Mukhtar, A. Aspect, V. Josse, Bichromatic state-dependent speckle disordered potential for ultracold atoms, Eur. Phys. J. D, 76, 218, published, 2022.
G. Antonelli, and A. Merlo. "On Rectifiable Measures in Carnot Groups: Existence of Density." J. Geom. Anal. 32, 239. DOI:10.1007/s12220-022-00971-7
G. Antonelli and A. Merlo. "On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion." Funct. Analysis 283 (1), 109495. DOI:10.1016/j.jfa.2022.109495
G. Antonelli and A. Merlo. "On rectifiable measures in Carnot groups: representation." Calc. Var. 61 (1), 7. DOI:10.1007/s00526-021-02112-4
D. Arnold and J. Guzman. "Local L2-bounded commuting projections in FEEC." ESAIM: M2AN 55 (5), 2169-2184. DOI:10.1051/m2an/2021054
D. Arnold, M. Filoche, S. Mayboroda, W.Wang, and S. Zhang. "The landscape law for tight binding Hamiltonians." Comm. Math. Phys. 396 (3), 1339-1391. DOI:10.1007/s00220-022-04494-8
J.-P. Banon, P. Pelletier, C. Weisbuch, S. Mayboroda, and M. Filoche. "Wigner-Weyl description of light absorption in disordered semiconductor alloys using the localization landscape theory." Phys. Rev. B 105 (12), 125422. DOI:10.1103/PhysRevB.105.125422
S. Bortz, S. Hofmann, J.L. Luna Garcia, S. Mayboroda, and B. Poggi. "Critical Perturbations for Second Order Elliptic Operators. Part I: Square function bounds for layer potentials." Analysis & PDE 15 (5), 1215-1286. DOI:10.2140/apde.2022.15.1215
I. Chenn and S. Zhang. "On the reduced Hartree-Fock equation with Anderson type background charge distribution." J. Funct. Anal. 283 (12), 109702. DOI:10.1016/j.jfa.2022.109702
I. Chenn, W. Wang, and S. Zhang, "Approximating the ground state eigenvalue via the effective potential." Nonlinearity 35 (6), 3004-3035. DOI:10.1088/1361-6544/ac692a
G. David. "A local description of 2-dimensional almost minimal sets bounded by a curve." Ann. Fac. Sci. Toulouse Math. 31 (1), 1-382. DOI:10.5802/afst.1697
G. David, J. Feneuil, and S. Mayboroda. "Green function estimates on complements of low-dimensional uniformly rectifiable sets." Math. Ann. 385: 1797-1821. DOI:10.1007/s00208-022-02379-8
G. David, L. Li, S. Mayboroda. "Carleson estimates for the Green function on domains with lower dimensional boundaries." Funct. Anal. 283 (5), 109553. DOI:10.1016/j.jfa.2022.109553
G. David, L. Li, and S. Mayboroda. "Carleson Measure Estimates for the Green Function." Arch. Rational Mech. Anal. 243 (3), 1525-1563. DOI:10.1007/s00205-021-01746-0
G. David and S. Mayboroda. "Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions." Adv. Math. 410, 108717. DOI:10.1016/j.aim.2022.108717
G. David and S. Mayboroda. "Harmonic Measure Is Absolutely Continuous with Respect to the Hausdorff Measure on All Low-Dimensional Uniformly Rectifiable Sets." Int. Math. Res. Not.. DOI:10.1093/imrn/rnac109
G. David, H. Pourmohammad, "An optimal partition problem for the localization of eigenfunctions." Mathematika 68 (4), 1302-1330. DOI:10.1112/mtk.12169
D. De Silva, D. Jerison, and H. Shahgholian. "Inhomogeneous minimizers to the one-phase free boundary problem." Commun. Partial Diff. Eq. 47 (6), 1193-1216. DOI:10.1080/03605302.2022.2051187
G. Del Nin and A. Merlo. "Endpoint Fourier restriction and unrectifiability." Proc. Amer. Math. Soc. 150, 2137-2144. DOI:10.1090/proc/15857
J. Feneuil. "Absolute continuity of the harmonic measure on low dimensional rectifiable sets." J. Geom. Anal. 32 (10), 247. DOI:10.1007/s12220-022-00978-0
J. Feneuil. "A change of variable for Dahlberg-Kenig-Pipher operators." Proc. Am. Math. Soc. 150 (8), 3565-3579. DOI:10.1090/proc/15923
J. Feneuil and B. Poggi. "Generalized Carleson perturbations of elliptic operators and applications." Trans. Amer. Math. Soc. 375 (11), 7553-7599. DOI:10.1090/tran/8635
G. Graciani, M. Filoche, and F. Amblard. "3D stochastic interferometry detects picometer dynamics of an optical volume." Commun. Phys. 5 (1), 239. DOI:10.1038/s42005-022-01016-9
A. Hammond, L. Lavoine, T. Bourdel. "Tunable three-body interactions in driven two-component Bose-Einstein condensates." Phys. Rev. Lett. 128 (8), 083401. DOI:10.1103/PhysRevLett.128.083401
S. Hofmann, L. Li, S. Mayboroda, and J. Pipher. "Lp theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part." Math. Z. 301 (1), 935-976. DOI:10.1007/s00209-021-02938-w
B. Jaye and T. Merchan. "The Huovinen transform and rectifiability of measures." Adv. Math. 400, 108297. DOI:10.1016/j.aim.2022.108297
A. Julia and S. Nicolussi Golo. "Intrinsic rectifiability via flat cones in the Heisenberg Group." Ann. Scuola Norm.-Sci. 23 (2), 829-835. DOI:10.2422/2036-2145.202005_012
A. Julia, S. Nicolussi Golo, and D. Vittone. "Area of intrinsic graphs and coarea formula in Carnot Groups." Math. Z. 301 (2), 1369-1406. DOI:10.1007/s00209-021-02916-2
A. Julia, S. Nicolussi Golo, and D. Vittone. "Lipschitz functions on submanifolds of Heisenberg groups." Int. Math. Res. Not.. DOI:10.1093/imrn/rnac066
C. Labourie. "Solutions of the (free boundary) Reifenberg Plateau problem." Adv. Calc. Var. 15 (4), 913-927. DOI:10.1515/acv-2020-0067
A. Merlo. "Geometry of 1-codimensional measures in Heisenberg groups." Invent. math. 227 (1), 27-148. DOI:10.1007/s00222-021-01063-z
P. Pelletier, D. Delande, V. Josse, A. Aspect, S. Mayboroda, D. N. Arnold, and M. Filoche. "Spectral functions and localization-landscape theory in speckle potentials." Phys. Rev. A 105 (2), 023314. DOI:10.1103/PhysRevA.105.023314

2021

D. Bucur, A. Henrot, M. Michetti. Asymptotic behavior of the Steklov spectrum on dumbbell domains. Comm. Partial Differential Equations, 46(2):362-393, (2021) doi.org/10.1080/03605302.2020.1840587
D. Arnold and K. Hu. "Complexes from Complexes." Found. Comput. Math. 21 (6), 1739-1774. DOI:10.1007/s10208-021-09498-9
J. Back, V. Rienzi, M.S. Wong, H. Li, S.P. DenBaars, C. Weisbuch, and S. Nakamura. "Blue semipolar InGaN microcavity light-emitting diode with varying cavity lengths from 113 to 290 nm." Appl. Phys. Express 14 (4), 042003. DOI:10.35848/1882-0786/abebb3
J. Back, M.S. Wong, S.P. DenBaars, C. Weisbuch, and S. Nakamura. "High efficiency blue InGaN microcavity light-emitting diode with a 205nm ultra-short cavity." Appl. Phys. Lett. 118 (3), 031102. DOI:10.1063/5.0039773
A. Barton, S. Hofmann and S. Mayboroda. "Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations." Int. Math. Res. Notices 2021 (23), 18300-18366. DOI:10.1093/imrn/rnaa051
T. Beck and D. Jerison. "The Friedland-Hayman inequality and Caffarelli’s contraction theorem." J. Math. Phys. 62 (10), 101504. DOI:10.1063/5.0046058
T. Beck, D. Jerison, and S. Raynor. "Two phase free boundary problems in convex domains." J. Geom. Anal. 31 (7), 6845-6891. DOI:10.1007/s12220-020-00469-0
K. Bellova, A. Julia, and F. Otto. "Uniform energy distribution in a pattern-forming system of surface charges." Rev. Mat. Iberoam 38 (3), 783-822. DOI:10.4171/RMI/1308
G. David, M. Engelstein, M. S. Vega Garcia, and T. Toro. "Regularity for almost-minimizers of variable coeffcient Bernoulli-type functionals." Math. Z. 299 (3), 2131-2169. DOI:10.1007/S00209-021-02719-5
G. David, J. Feneuil, and S. Mayboroda. "Elliptic theory for sets with higher co-dimensional boundaries." Memoirs of the AMS 274 (1346), v-123. DOI:10.1090/memo/1346
G. David, M. Filoche, and S. Mayboroda. "The landscape law for the integrated density of states." Adv. Math. 390, 107946. DOI:10.1016/j.aim.2021.107946
G. David and S. Mayboroda. "Good elliptic operators on Cantor sets." Adv. Math. 383, 107687. DOI:10.1016/j.aim.2021.107687
P. Desforges, S. Mayboroda, S. Zhang, G. David, D.N. Arnold, W. Wang, and M. Filoche. "Sharp estimates for the integrated density of states in Anderson tight-binding models." Phys. Rev. A 104 (1), 012207. DOI:10.1103/PhysRevA.104.012207
J. Feneuil, S. Mayboroda, and Z. Zhao. "The Dirichlet problem in domains with lower dimensional boundaries." Rev. Mat. Iberoam. 37 (3), 821-910. DOI:10.4171/rmi/1208
M. Filoche, S. Mayboroda, and T. Tao. "The effective potential of an M-matrix." J. Math. Phys. 62 (4), 041902. DOI:10.1063/5.0042629
A. Gillett, A. Privitera, R. Dilmurat, A. Karki, D. Qian, A. Pershin, G. Londi, W. Myers, J. Lee, J. Yuan, S. Ko, M. Riede, F. Gao, G. Bazan, A. Rao, T. Nguyen, D. Beljonne, and R. Friend. "The role of charge recombination to spin-triplet excitons in non-fullerene acceptor organic solar cells." Nature 597 (7878), 666-671. DOI:10.1038/s41586-021-03840-5
A. Gillett, C. Tonnele, G. Londi, G. Ricci, M. Catherin, D. Unson, D. Casanova, F. Castet, Y. Olivier, W. Chen, E. Zaborova, E. Evans, B. Drummond, P. Conaghan, L. Cui, N. Greenham, Y. Puttisong, F. Fages, D. Beljonne, and R. Friend. "Spontaneous exciton dissociation enables spin state interconversion in delayed fluorescence organic semiconductors." Nat. Commun. 12 (1), 6640. DOI:10.1038/s41467-021-26689-8
S. Hofmann, L. Li, S. Mayboroda, and J. Pipher. "The Dirichlet problem for elliptic operators having a BMO anti-symmetric part." Math. Ann. 382 (1-2), 103-168. DOI:10.1007/s00208-021-02219-1
S. Hofmann, J.M. Martell, S. Mayboroda, T. Toro, and Z. Zhao. "Uniform rectifiability and elliptic operators satisfying a Carleson measure condition." Geom. Funct. Anal. 31 (2), 325-401. DOI:10.1007/s00039-021-00566-4
A. Julia, S. Nicolussi Golo, and D. Vittone. "Nowhere differentiable intrinsic Lipschitz graphs." Bull. London Math. Soc. 53 (6), 1766-1775. DOI:10.1112/blms.12540
C. Labourie. "Weak limits of quasiminimizing sequences." J. Geom. Anal. 31 (10), 10024-10135. DOI:10.1007/s12220-021-00637-w
L. Lavoine and T. Bourdel. "Beyond-mean-field crossover from one dimension to three dimensions in quantum droplets of binary mixtures." Phys. Rev. A 103 (3), 033312. DOI:10.1103/PhysRevA.103.033312
L. Lavoine, A. Hammond, A. Recati, D.S. Petrov, T. Bourdel. "Beyond-Mean Field Effects in Rabi-Coupled Two-Component Bose-Einstein Condensate." Phys. Rev. Lett. 127 (20), 203402. DOI:10.1103/PhysRevLett.127.203402
H. Li, A. Thayil, C.T.K. Lew, M. Filoche, B.C. Johnson, J.C. McCallum, S. Arscott, and A.C.H. Rowe. "Piezoresistance in defect-engineered silicon." Phys. Rev. Appl. 15 (1), 014046. DOI:10.1103/PhysRevApplied.15.014046
S. Mayboroda and B. Poggi. "Carleson perturbations of elliptic operators on domains with low dimensional boundaries." J. Funct. Anal. 280 (8) 108930. DOI:10.1016/j.jfa.2021.108930
S. Marcinkevicius, R. Yapparov, Y.C. Chow, C. Lynsky, S. Nakamura, S.P. DenBaars, and J.S. Speck. "High internal quantum efficiency of long wavelength InGaN quantum wells." Appl. Phys. Lett, 071102. DOI:10.1063/5.0063237
Y. Meyer. "A letter by Eli Stein." J. Geom. Anal. 31 (7), 7297-7303. DOI:10.1007/s12220-021-00654-9
Y. Meyer. "Restriction algebras of Fourier-Stieltjes transforms of Radon measures." J.l Geom. Anal. 31 (9), 9131-9142. DOI:10.1007/s12220-020-00580-2
A.J. Sneyd, T. Fukui, D. Palecek, S. Prodhan, I. Wagner, Y. F. Zhang, J. Sung, S.M. Collins, T.J.A. Slater, Z. Andaji-Garmaroudi, L.R. MacFarlane, J.D. Garcia-Hernandez, L.J. Wang, G.R. Whittell, J.M. Hodgkiss, K. Chen, D. Beljonne, I. Manners, R.H. Friend, and A. Rao. "Efficient energy transport in an organic semiconductor mediated by transient exciton delocalization." Sci. Adv. 7 (32). DOI:10.1126/sciadv.abh4232
W. Wang and S. Zhang. "The exponential decay of eigenfunctions for tight binding Hamiltonians via landscape and dual landscape functions." Ann. Henri Poincaré 22 (5), 1429-1457. DOI:10.1007/s00023-020-00986-2
C. Weisbuch, S. Nakamura, Y. Wu, and J. Speck. "Disorder effects in nitride semiconductors:impact on fundamental and device properties." Nanophotonics 10 (1), 3-21. DOI:10.1515/nanoph-2020-0590

2020

R. Aleksiejūnas, K. Nomeika, O. Kravcov, S. Nargelas, L. Kuritzky, C. Lynsky, S. Nakamura, C. Weisbuch, and J. Speck. "Impact of alloy disorder induced localization on hole diffusion in highly excited c-plane and m-plane InGaN quantum wells." Phys. Rev. Applied 14, 054043. DOI:10.1103/PhysRevApplied.14.054043
A.M. Alvertis, R. Pandya, L. A. Muscarella, N. Sawhney, M. Nguyen, B. Ehrler, A. Rao, R.H. Friend, A.W. Chin, and B. Monserrat. "Impact of exciton delocalization on exciton-vibration interactions in organic semiconductors." Phys. Rev. B 102, 081122. DOI:10.1103/PhysRevB.102.081122
D. Arnold and S. Walker. "The Hellan-Herrmann-Johnson method with curved elements." SIAM J. Numer. Anal. 58 (5), 2829-2855. DOI:10.1137/19M1288723
J. Back, M.S. Wong, J. Kearns, S.P. DenBaars, C. Weisbuch, and S. Nakamura. "Violet semipolar (20-2-1) InGaN microcavity light-emitting diode with a 200 nm ultra-short cavity length." Opt. Express 28 (20), 29991. DOI:10.1364/OE.401640
G. Berthet, L. Lavoine, M.K. Parit, A. Brolis, A. Boisse, and T. Bourdel. "Observation of the algebraic localization-delocalization transition in a one dimensional disordered potential with a bias force." Phys. Rev. Research 2 (1), 013386. DOI:10.1103/PhysRevResearch.2.013386
B. Bonef, C. Reilly, F. Wu, S. Nakamura, S. DenBaars, S. Keller, and J. Speck. "Quantitative investigation of indium distribution in InN wetting layers and dots grown by metalorganic chemical vapor deposition." Appl. Phys. Express 13 (6), 065005. DOI:10.35848/1882-0786/ab9167
H. Cayla, S. Butera, C. Carcy, A. Tenart, G. Herce, M. Mancini, A. Aspect, I. Carusotto, and D. Clement. "Hanbury Brown and Twiss bunching of phonons and of the quantum depletion in an interacting Bose gas." Phys. Rev. Lett. 125 (16), 165301. DOI:10.1103/PhysRevLett.125.165301
N. Cherroret and V. Josse. "Ondes et Desordre." Book chapter (in French, English version in preparation): Edited by Robin Kaiser, M. Leduc and H. Perrin, EDP Sciences, 97-130. DOI:10.1051/978-2-7598-2510-3.c008
Y.C. Chow, C. Lee, M.S. Wong, Y. Wu, S. Nakamura, S.P. DenBaars, J.E. Bowers, and J.S. Speck. "Dependence of carrier escape lifetimes on quantum barrier thickness in InGaN/GaN multiple quantum well photodetectors." Opt. Express 28 (16), 23796. DOI:10.1364/OE.399924
G. David, M. Engelstein, and S. Mayboroda. "Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one." Duke Math. J. 170 (3). DOI:10.1215/00127094-2020-0048
M. Filoche, D. Arnold, G. David, D. Jerison, and S. Mayboroda, "Reply to comment on Effective Conﬁning Potential of Quantum States in Disordered Media." Phys. Rev. Lett. 124 (21), 219702. DOI:10.1103/PhysRevLett.124.219702
P.P. Iyer, R.A. DeCrescent, Y. Mohtashami, G. Lheureux, N.A. Butakov, A. Alhassan, C.Weisbuch, S. Nakamura, S.P. DenBaars, and J.A. Schuller. "Unidirectional luminescence from InGaN/GaN quantum-well metasurfaces." Nat. Photonics 14 (9), 543-548. DOI:10.1038/s41566-020-0641-x
K.F. Jorgensen, B. Bonef, and J.S. Speck. "High nitrogen flux plasma-assisted molecular beam epitaxy growth of InxGa1-xN films." J. Cryst. Growth 546, 125738. DOI:10.1016/j.jcrysgro.2020.125738
M. Khoury, H. Li, B. Bonef, T. Mates, F. Wu, P. Li, M. Wong, H. Zhang, J. Song, J. Choi, J. Speck, S. Nakamura, and S. DenBaars. "560 nm InGaN micro-LEDs on Low-defect Density and Scalable (20-21) Semipolar GaN on Patterned Sapphire Substrates." Opt. Express 28 (12), 18150. DOI:10.1364/oe.387561
G. Lheureux, C. Lynsky, Y. Wu, J. Speck, and C. Weisbuch. "A 3D simulation comparison of carrier transport in green and blue c-plane multi-quantum well nitride light emitting diodes." J Appl. Phys. 128 (23), 235703. DOI:10.1063/1.5143276
G. Lheureux, M. Monavarian, R. Anderson, R.A. Decrescent, J. Bellessa, C. Symonds, J.A. Schuller, J.S. Speck, S. Nakamura, and S.P. DenBaars. "Tamm plasmons in metal/nanoporous GaN distributed Bragg reflector cavities for active and passive optoelectronics." Opt. Express 28 (12), 17934. DOI:10.1364/OE.392546
C. Lynsky, G. Lheureux, R. White, A. Alhassan, B. Bonef, C. Weisbuch, and J. Speck. "Barriers to carrier transport in multiple quantum well nitride-based c-plane green light emitting diodes." Phys. Rev. Mater. 4 (5), 054604. DOI:10.1103/PhysRevMaterials.4.054604
Y. Meyer. "From Salomon Bochner to Dan Shechtman." Trans. Royal Nor. Soc. Sci. Lett., 1-22. ISBN 978-82-93175-67-4
Y. Meyer. "Trigonometric series with a given spectrum." Tunisian J. Math. 2 (4), 881-906. DOI:10.2140/tunis.2020.2.881
K.S. Qwah, M. Monavarian, G. Lheureux, J. Wang, Y.-R. Wu, and J.S. Speck. "Theoretical and experimental investigations of vertical hole transport through unipolar Al-GaN structures: Impacts of random alloy disorder." Appl. Phys. Lett. 117 (2), 022107. DOI:10.1063/5.0006291
C. Weisbuch and J. Speck. "On the search for efficient solid state lighting emitters: past, present, future." ECS J. Solid State Sci. Tech. 9 (1), 016022. DOI:10.1149/2.0392001JSS
J. Xiao, Y. Liu, V. Steinmetz, M. Caglar, J. McHugh, T. Baikie, N. Gauriot, M. Nguyen, E. Ruggeri, Z. Andaji-Garmaroudi, S. Stranks, L. Legrand, T. Barisien, R. Friend, N. Greenham, A. Rao, and R. Randya. "Optical and electronic properties of colloidal CdSe quantum rings." ACS Nano 14 (11), 14740-14760. DOI:10.1021/acsnano.0c01752
R. Yapparov, Y.C. Chow, C. Lynsky, F.Wu, S. Nakamura, J.S. Speck, and S. Marcinkevicius. "Variations of light emission and carrier dynamics around V-defects in InGaN quantum wells." J. Appl. Phys. 128 (22), 225703. DOI:10.1063/5.0031863
R. Yapparov, C. Lynsky, S. Nakamura, J.S. Speck, and S. Marcinkevicius. "Optimization of barrier height in InGaN quantum wells for rapid interwell carrier transport and low nonradiative recombination." Appl. Phys. Express 13 (12), 122005. DOI:10.35848/1882-0786/abc856

2019

D. Arnold, G. David, M. Filoche, D. Jerison, and S. Mayboroda. "Computing spectra without solving eigenvalue problems." SIAM J. Sci. Comput. 41 (1), B69-B92. DOI:10.1137/17M1156721
D. Arnold, G. David, M. Filoche, D. Jerison, and S. Mayboroda. "Localization of eigenfunctions via an effective potential." Commun. Part. Diff. Eq. 44 (11), 1186-1216. DOI:10.1080/03605302.2019.1626420
A. Barton, S. Hofmann and S. Mayboroda. "Bounds on layer potentials with rough inputs for higher order elliptic equations." Proc. London Math. Soc. 119 (3), 613-653. DOI:10.1112/plms.12241
Y. Chalopin, F. Piazza, S. Mayboroda, C. Weisbuch, and M. Filoche. "Universality of fold-encoded localized vibrations in enzymes." Sci. Rep. 9 (1), 12835. DOI:10.1038/s41598-019-48905-8
G. David. "Local Regularity Properties of Almost and Quasiminimal Sets With a Sliding Boundary Condition." Astérisque 411, 1-380. DOI:10.24033/ast.1077
G. David, M. Engelstein, and T. Toro. "Free boundary regularity for almost-minimizers." Adv. Math. 350, 1109-1192. DOI:10.1016/j.aim.2019.04.059
G. David, J. Feneuil, and S. Mayboroda. "Dahlberg’s theorem in higher co-dimension." J. Funct. Anal. 276 (9), 2731-2820. DOI:10.1016/j.jfa.2019.02.006
G. David, J. Feneuil, and S. Mayboroda. "A New Elliptic Measure on Lower Dimensional Sets." Acta. Math. Sin.-English Ser. 35 (6), 876-902. DOI:10.1007/s10114-019-9001-5
D. Jerison. "The Two Hyperplane Conjecture." Acta. Math. Sin.-English Ser. 35 (6), 728-748. DOI:10.1007/s10114-019-8241-8
D. Jerison and N. Kamburov. "Free boundaries subject to topological constraints." Disc. Cont. Dyn. Sys. A 39 (12), 7212-7248. DOI:10.3934/dcds.2019301
A. Julia. "A Generalized Stokes' Theorem on integral currents." ASENS 55 (4), 937-968. DOI:10.24033/asens.2510
A. Julia. "A Henstock Kurzweil-type integral on one dimensional integral currents." Bul. Soc. Math. France 148 (2), 283-319. DOI:10.24033/bsmf.2806
S. Mayboroda and B. Poggi. "Exponential decay estimates for fundamental solutions of Schrödinger-type operators." Trans. Amer. Math Soc. 372 (6), 4313-4357. DOI:10.1090/tran/7817
S. Mayboroda and Z. Zhao. "Square function estimates, BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets." Anal. & PDE 12 (7), 1843-1890. DOI:10.2140/apde.2019.12.1843
C. Reilly, B. Bonef, S. Nakamura, J. Speck, S. DenBaars, and S. Keller. "Characterization of InGaN quantum dots grown by metalorganic chemical vapor deposition." Semicond. Sci. Tech. 34 (12), 125002. DOI:10.1088/1361-6641/ab4b93
J. Richard, L. K. Lim, V. Denechaud, V. V. Volchkov, B. Lecoutre, M. Mukhtar, F. Jendrzejewski, A. Aspect, A. Signoles, L. Sanchez-Palencia, and V. Josse. "Elastic Scattering Time of Matter Waves in Disordered Potentials." Phys. Rev. Lett. 122 (10), 100403. DOI:10.1103/PhysRevLett.122.100403
I. Sayed, B. Bonef, S. Keller, U. Mishra, and J. Speck. "Electrical properties and interface abruptness of AlSiO gate dielectric on (0001) Ga-polar GaN and (000-1) N-polar GaN." Appl. Phys. Lett. 115 (17), 172104. DOI:10.1063/1.5125788
A. Signoles, B. Lecoutre, J. Richard, L. K. Lim, V. Denechaud, V. V. Volchkov, V. Angelopoulou, F. Jendrzejewski, A. Aspect, L. Sanchez-Palencia, and V. Josse. "Ultracold atoms in disordered potentials: elastic scattering time in the strong scattering regime." New J. Phys. 21 (10), 105002. DOI:10.1088/1367-2630/ab466f

2018

G. David. "Sliding almost minimal sets and the Plateau problem." IAS/Park City Mathemetical series. DOI:10.1090/PCMS%2F027%2F06
W. Hahn, J.M. Lentali, P. Polovodov, N. Young, S. Nakamura, J.S. Speck, C. Weisbuch, M. Filoche, Y.-R. Wu, M. Piccardo, F. Maroun, L. Martinelli, Y. Lassailly, J. Peretti. "Evidence of intrinsic nanoscale electron localization induced by composition disorder in InGaN/GaN quantum wells by scanning tunneling luminescence spectroscopy." Phys. Rev. B 98 (4), 045305. DOI:10.1103/PhysRevB.98.045305
S. Mayboroda. "The effect of disorder and irregularities on solutions to boundary value problems and spectra of differential operators." Proc. Internat. Cong. Math., 1691-1712. DOI:10.1142/9789813272880_0113
Y. Meyer. "Global and local estimates on trigonometric sums." Trans. Royal Nor. Soc. Sci. Lett.,1-25. ISBN 978-82-93175-49-0
M. A. Werner, E. Demler, A. Aspect, and G. Zaránd. "Selective state spectroscopy and multifractality in disordered Bose-Einstein condensates: a numerical study." Sci. Rep. 8 (1), 3641. DOI:10.1038/s41598-018-21870-4

Accepted, Preprints and Submitted manuscripts

(2024) The 2d Sinh-Gordon model on the infinite cylinder. C. Guillarmou, T. S. Gunaratnam,
V. Vargas. arXiv:2405.04076
(2024) Emergence of fractional Gaussian free field correlations in long-range subcritical Ising
models. T. S. Gunaratnam, R. Panis. To appear in Annales de l’Institut Henri Poincar.
(2024) Existence of a tricritical point for the Blume-Capel model on Zd. D. Krachun, T.S.
Gunaratnam, C. Panagiotis. To appear in Probability and Mathematical Physics.
(2024) Tightness of the maximum of Ginzburg-Landau fields, F. Schweiger, W. Wu, O. Zeitouni,
arXiv:2403.11500,
(2024) The landscape function on Rd (with G. David and A. Gloria), Les Annales de la Faculte´ des Sciences de Toulouse, accepted, https://arxiv.org/abs/2307.11182.
(2024) Cherkashin, Danila, Emanuele Paolini, and Yana Teplitskaya. Steiner trees with infinitely many terminals on the sides of an angle. arXiv:2404.11546.
(2024) Beniamin Bogosel, Antoine Henrot, Marco Michetti. Optimization of Neumann Eigenvalues under convexity and geometric constraints. Preprint arxiv.org/abs/2402.04117.
(2024)Average nodal count and the nodal count condition for graphs. Lior Alon and John Urchel. arXiv:2404.03151
(2024) Nodal count for a random signing of a graph with disjoint cycles. Lior Alon and Mark Goresky. arXiv:2403.01033
(2024) High dimensional Fourier Quasicrystals from Lee-Yang varieties. Lior Alon, Mario Kummer, Pavel Kurasov, and Cynthia Vinzant [arXiv:2407.11184.
(2024) Phase transition for the vacant set of random walk and random interlacements, H.
Duminil-Copin, S. Goswami, P.-F. Rodriguez, F. Severo, A. Teixeira, arXiv:2308.07919.
(2024) A characterization of strong percolation via disconnection, H. Duminil-Copin, S. Goswami,
P.-F. Rodriguez, F. Severo, A. Teixeira, arXiv:2308.07920
(2024) Finite range interlacements and couplings, H. Duminil-Copin, S. Goswami, P.-F. Rodriguez,
F. Severo, A. Teixeira, arXiv:2308.07303
(2024) New lower bounds for the (near) critical Ising and ?4 models’ two-point functions, Hugo
Duminil-Copin, Romain Panis, arXiv:2404.05700
(2023) A mathematical perspective on Transformers, with Borjan Geshkovski, Cyril Letrouit, Yury Polyanskiy and Philippe Rigollet. arxiv.org/abs/2312.10794
(2023) C. Jeznach, M. Badger. On the number of nodal domains of homogeneous caloric polynomials. Submitted. https://arxiv.org/html/2401.07268v1.
(2023) A. Musa Patoary, A. Vikram, L. Shou, and V. Galitski. “Chaotic Roots of the Modular Multiplication Dynamical System in Shor’s Algorithm,” submitted, https://doi.org/10.48550/arXiv.2306.16446. https://arxiv.org/abs/2306.16446.
(2023) G. David, C. Jeznach, and A. Julia. “Cantor sets with absolutely continuous harmonic measure,” submitted, https://doi.org/10.48550/arXiv.2303.02055, https://arxiv.org/abs/2303.02055.
(2023) L. Shou. “Eigenstates and Spectral Projection for Quantized Baker’s Map,” submitted, https://doi.org/10.48550/arXiv.2306.04908, https://arxiv.org/abs/2306.04908.
(2023) L. Shou, W. Wang, and S. Zhang. “Landscape Approximation of the Ground State Eigenvalue for Graphs and Random Hopping Models,” submitted, https://doi.org/10.48550/arXiv.2212.07589, https://arxiv.org/abs/2212.07589.
Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis, Franco Severo, Random tangled currents for $\phi^4$: translation invariant Gibbs measures and continuity of the phase transition, arXiv:2211.00319.
Antoine Julia and Pierre Pansu. Compactness of normal Rumin currents in Carnot groups. https://arxiv.org/abs/2303.02012
G. Antonelli and A. Merlo. "Unextendable intrinsic Lipschitz curves." Ann. Sci. Mat. Fis, accepted 2022. DOI:10.2422/2036-2145.202107_017
N. Barashkov, T.S. Gunaratnam, and M. Hofstetter. "Multiscale coupling and the maximum of P(ϕ)2 models on the torus." submitted 2022. arXiv:2207.13673
H. Cayla, P. Massignan, T. Giamarchi, A. Aspect, C.I. Westbrook, and D. Clément. "Observation of 1/k⁴-tails in the asymptotic momentum distribution of Bose polarons." submitted 2022. arXiv:2204.10697
B. Poggi. "Applications of the landscape function for Schrödinger operators with singular potentials and irregular magnetic fields." submitted 2021. arXiv:2107.14103
M. Sauty, A. Thayil, J. S. Speck, A. I. Alhassan, C. Weisbuch, M. Filoche, L. Martinelli, Y.Lassailly and J. Peretti. "Evidence of the effect of alloy disorder on carrier transport in ternary III N by low energy photoemission spectroscopy." submitted 2022. arXiv:2201.03278
Danila Cherkashin and Yana Teplitskaya. An overview of maximal distance minimizers problem. Submitted

Background Publications

X. Ai, Y. Chen, S. Dong, E. Evans, R. H. Friend, A. Gillett, H. Guo, and T. Hele. "Efficient radical-based light-emitting diodes with doublet emission." Nature 563 (7732), 536-540 (2018). DOI:10.1038/s41586-018-0695-9
D. Arnold, G. David, D. Jerison, S. Mayboroda, and M. Filoche. "Effective Confining Potential of Quantum States in Disordered Media." Phys. Rev. Lett. 116 (5), 056602 (2016). DOI:10.1103/PhysRevLett.116.056602
D. Arnold. "Finite Element Exterior Calculus." SIAM, (2018). ISBN:978-1-611975-53-6.
A.A. Bakulin, A. Rao, V.G. Pavelyev, P. H.M. van Loosdrecht, M.S. Pshenichnikov, D. Niedzialek, J. Cornil, D. Beljonne, and R.H. Friend. "The Role of Driving Energy and Delocalized States for Charge Separation in Organic Semiconductors." Science 335 (6074), 1340-1344 (2012). DOI:10.1126/science.1217745
A. Barton, S. Hofmann, and S. Mayboroda. "Dirichlet and Neumann boundary values of solutions to higher order elliptic equations." Ann. Instit. Fourier 69 (4), 1627-1678 (2017). DOI:10.5802/aif.3278
C.C. de Bellaistre, C. Trefzger, A. Aspect, A. Georges, and L. Sanchez-Palencia. "Expansion of a matter wave packet in a one-dimensional disordered potential in the presence of a uniform bias force." Phys. Rev. A 97 (1), 013613 (2017). DOI:10.1103/PhysRevA.97.013613
J. Billy, V. Josse, Z. C. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect. "Direct observation of Anderson localization of matter waves in a controlled disorder." Nature 453 (7197), 891-894 (2008). DOI:10.1038/nature07000
L. A. Caﬀarelli, D. Jerison, and C. E. Kenig. "Some new monotonicity theorems with applications to free boundary problems." Annal. Math. 155 (2), 369-404 (2002). DOI:10.2307/3062121
G. David, M. Filoche, D. Jerison, and S. Mayboroda. "A free boundary problem for the localization of eigenfunctions." Astérisque 392, (2017). ISBN: 978-2-85629-863-3
H. Duminil-Copin, A. Rivera, P.-F. Rodriguez, and H. Vanneuville. "Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d ≥ 3." Ann. Probab. 51 (1), 228-276 (2023). DOI:10.1214/22-AOP1594
S. Félix, M. Asch, M. Filoche, and B. Sapoval. "Localization and increased damping in irregular acoustic cavities." J. Sound Vibration 299 (4-5), 965-976 (2007). DOI:10.1016/j.jsv.2006.07.036
M. Filoche and S. Mayboroda. "Universal mechanism for Anderson and weak localization." Proc. Natl. Acad. Sci. USA 109 (37), 14761-14766 (2012). DOI:10.1073/pnas.1120432109
M. Filoche, M. Piccardo, Y.-R. Wu, C.-K. Li, C. Weisbuch, and S. Mayboroda. "Localization landscape theory of disorder in semiconductors I: Theory and modeling." Phys. Rev. B 95 (14), 144204 (2017). DOI:10.1103/PhysRevB.95.144204
S. Gélinas, A. Rao, A. Kumar, S.L. Smith, A.W. Chin, J. Clark, T.S. van der Poll, G.C. Bazan, and R.H. Friend. "Ultrafast Long-Range Charge Separaton in Organic Semiconductor Photovoltaic Diodes." Science 343 (6170), 512-516 (2014). DOI:10.1126/science.1246249
S. Hofmann, J. Martell, and S. Mayboroda. "Uniform Rectiﬁability, Carleson measure estimates, and approximation of harmonic functions." Duke Math. J. 165 (12), 2331-2389 (2016). DOI:10.1215/00127094-3477128
J. Iveland, L. Martinelli, J. Peretti, J. S. Speck, and C. Weisbuch. “Direct measurement of Auger electrons emitted from a semiconductor light-emitting diode under electrical injection: identification of the dominant mechanism for efficiency droop.” Phys. Rev. Lett. 110 (17), 177406 (2013). DOI:10.1103/PhysRevLett.110.177406
F. Jendrzejewski, A. Bernard, K. Muller, P. Cheinet, V. Josse, M. Piraud, L. Pezzé, L. Sanchez-Palencia, A. Aspect, and P. Bouyer. "Three-dimensional localization of ultracold atoms in an optical disordered potential." Nature Phys. 8 (5), 398-403 (2012). DOI:10.1038/nphys2256
F. Jendrzejewski, K. Muller, J. Richard, A. Date, T. Plisson, P. Bouyer, A. Aspect, and V. Josse. "Coherent Backscattering of Ultracold Atoms." Phys. Rev. Lett. 109 (19), 195302 (2012). DOI:10.1103/PhysRevLett.109.195302
D. Jerison and N. Nadirashvili. "The hot spots conjecture for domains with two axes of symmetry." J. Amer. Math. Soc. 13 (4), 741-772 (2000). DOI:10.1090/S0894-0347-00-00346-5
X.-H. Jin, M. B. Price, J. R. Finnegan, C. E. Boott, J. M. Richter, A. Rao, S. M. Menke, R. H. Friend, G. R. Whittell, and I. Manners. "Long-range exciton transport in conjugated polymer nanofibers prepared by seeded growth." Science 360 (6391), 897-900 (2018). DOI:10.1126/science.aar8104
G. Lefebvre, A. Gondel, M. Dubois, M. Atlan, F. Feppon, A. Labbé, C. Gillot, A. Garelli, M. Ernoult, M. Filoche, and P. Sebbah. "One single static measurement predicts wave localization in complex structures." Phys. Rev. Lett. 117 (7), 074301 (2016). DOI:10.1103/PhysRevLett.117.074301
M. Leite Lyra, S. Mayboroda, and M. Filoche. "Dual landscapes in Anderson localization on discrete lattices." EPL (Europhys. Lett.) 109 (4), 47001 (2015). DOI:10.1209/0295-5075/109/47001
S. Mayboroda and V. Maz’ya. "Polyharmonic capacity and Wiener test of higher order." Invent. Math. 211 (2), 779-853 (2018). DOI:10.1007/s00222-017-0756-y
V. Maz’ya. "Regularity of solutions to the polyharmonic equation in general domains." Invent. Math. 196 (1), 1-68 (2014). DOI:10.1007/s00222-013-0464-1
Y. Meyer. "Measures with locally ﬁnite support and spectrum." Proc. Natl. Acad. Sci. USA 113 (12), 3152-3158 (2016). DOI:10.1073/pnas.1600685113
Y. Meyer. "Oscillating Patterns in Image Processing and In Some Nonlinear Evolution Equations." Mathematical Foundation of Turbulent Viscous Flows, Lect. Notes Math. (2006) DOI:10.1007/11545989_4
Y. Meyer and R. R. Coifman. "Wavelets: Calderón–Zygmund and Multilinear Operators." Bull. London Math. Soc 31 (1), 117-118 (1999). DOI:10.1112/S0024609397283955
M. Piccardo, C.-K. Li, Y.-R. Wu, J. S. Speck, B. Bonef, R. M. Farrell, M. Filoche, L. Martinelli, J. Peretti, and C. Weisbuch. "Localization landscape theory of disorder in semiconductors II: Urbach tails of disordered quantum well layers." Phys. Rev. B 95 (14), 144205 (2017). DOI:10.1103/PhysRevB.95.144205
B. Sapoval, S. Félix, and M. Filoche. "Localisation and damping in resonators with complex geometry." Euro. Phys. J. Spec. Top. 161 (1), 225-232 (2008). DOI:10.1140/epjst/e2008-00763-2
S. Semmes. "Analysis of and on uniformly rectiﬁable sets." AMS Mathematical Surveys and Monographs 38, xii+356 (1993). DOI:10.1090/surv/038
C. Weisbuch, R. Dingle, A.C.V. Gossard, and W. Wiegmann. "Optical Characterization of Interface Disorder in GaAs-Gax Al1-x As quantum wells." Solid State Comm. 38 (8), 709-712 (1981). DOI:10.1016/0038-1098(81)90401-4
Y.R. Wu, R. Shivaraman, K.C. Wang and J.S. Speck. "Analyzing the physical properties of InGaN multiple quantum well light emitting diodes from nano scale structure." Appl. Phys. Lett. 101 (8), 083505 (2012). DOI:10.1063/1.4747532