Publications

Published

2023

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

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.. 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. 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

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
I. Chenn, S. Mayboroda, W. Wang, and S. Zhang. "On a novel effective equation of the reduced Hartree-Fock theory with random potential." submitted 2021. arXiv:2106.13887
G. David, M. Engelstein, M. Smit Vega Garcia, and T. Toro. "Branch Points for (Almost-) Minimizers of Two-Phase Free Boundry Problems." submitted 2022. arXiv:2204.05367
G. David, J. Feneuil, and S. Mayboroda. "Elliptic theory in domains with boundaries of mixed dimension." submitted 2020. arXiv:2003.09037
J. Feneuil. "The Green function with pole at infinity applied to the study of the elliptic measure." submitted 2020. arXiv: 2010.04034
S. Hofmann, J. Martell, and S. Mayboroda. "Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains." submitted 2020. arXiv:1904.13116
B. Lecoutre, Y. Guo, X. Yu, M. Mukhtar, A. Aspect, and V. Josse. "Bichromatic state-dependent speckle disordered potential for Anderson localization of ultra cold atoms." submitted 2022. arXiv.:2208.12166v2
B. Poggi. "Applications of the landscape function for Schrödinger operators with singular potentials and irregular magnetic fields." submitted 2021. arXiv:2107.14103
A. Merlo. "Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot Groups." submitted 2020. arxiv:2007.03236v2
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

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