Publications

Published and Accepted

  1. 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.” Physical Review Applied 14, 054043 (2020). DOI:10.1103/PhysRevApplied.14.054043
  2. 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." 
    Physical Review B 102, 081122 (2020). DOI:10.1103/PhysRevB.102.081122
  3. D. Arnold and J. Guzman. "Local L2-bounded commuting projections in FEEC." ESAIM: M2AN 55(5), 2169-2184 (2022). DOI:10.1051/m2an/2021054 
  4. 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 (2019). Featured in the Journal Club for Condensed Matter Physics, “Hidden landscape of an Anderson insulator." DOI:10.1137/17M1156721   
  5. D. Arnold, G. David, M. Filoche, D. Jerison, and S. Mayboroda. “Localization of eigenfunctions via an effective potential." Comm. PDE 44(11), 1186-1216 (2019). DOI:10.1080/03605302.2019.1626420
  6. D. Arnold and K. Hu. "Complexes from complexes."  Found. Comput. Math., 21, 1739-1774, (2021).  DOI:10.1007/s10208-021-09498-9
  7. D. Arnold and S. Walker. “The Hellan-Herrmann-Johnson method with curved elements.” SIAM Journal on Numerical Analysis, 58(5), 2829-2855 (2020). DOI:10.1137/19M1288723 
  8. 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." Optics Express 28, 29991-30003 (2020). DOI:10.1364/OE.401640
  9. 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." Applied Physics Letters 118, 031102 (2021). DOI:10.1063/5.0039773
  10. 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." Applied Physics Express 14, 042003 (2021). DOI:10.35848/1882-0786/abebb3
  11. A. Barton, S. Hofmann and S. Mayboroda. “Bounds on layer potentials with rough inputs for higher order elliptic equations.” Proc. Lond. Math. Soc.(3) 119(3), 613–653 (2019). DOI:10.1112/plms.12241
  12. A. Barton, S. Hofmann and S. Mayboroda. “Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations.” International Mathematics Research Notices, accepted (2020). arXiv:1808.07137
  13. A. Barton, S. Hofmann, and S. Mayboroda. “Dirichlet and Neumann boundary values of solutions to higher order elliptic equations.” Annales de l’Institut Fourier 69(4), 1627–1678 (2019). arXiv:1703.06963
  14. T. Beck, D. Jerison, and S. Raynor. “Two phase free boundary problems in convex domains.” Journal of Geometric Analysis, accepted (2020). arXiv.org/abs/2004.10175 
  15. 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,” Physical Review A 97(1), 013613 (2018). arXiv:1710.05595
  16. T. Beck and D. Jerison. “The Friedland-Hayman inequality and Caffarelli’s contraction theorem,” J. Math. Phys. 62(10), 101504 (2021). arXiv:2102.00571
  17. K. Bellova, A. Julia, and F. Otto. "Uniform energy distribution in a pattern-forming system of surface charges." Revista Matematica Iberoamericana, (2020). arXiv.org/abs/2004.01242 
  18. 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.” Physical Review Research 2, 013386 (2020). arXiv:1908.01511
  19. 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.” Applied Physics Express 13, 065005 (2020). DOI:10.35848/1882-0786/ab9167
  20. 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 & PED, accepted, 2020. arXiv:2003.02703
  21. 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." Physical Review Letters 125, 165301 (2020). DOI:10.1103/PhysRevLett.125.165301
  22. Y. Chalopin, F. Piazza, S. Mayboroda, C. Weisbuch, and M. Filoche. “Universality of fold-encoded localized vibrations in enzymes.” Scientific Reports 9, 12835. (2019) DOI:10.1038/s41598-019-48905-8
  23. 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," Optics Express 28, 23796 (2020). DOI:10.1364/OE.399924
  24. G. David. “A local description of 2-dimensional almost minimal sets bounded by a curve.” Annales Mathematiques de la Faculte des sciences de Toulouse. accepted. (2019). arXiv:1901.10171
  25. G. David. “Local Regularity Properties of Almost and Quasiminimal Sets With a Sliding Boundary Condition.” Astérisque 411, ix+377 (2019). arXiv:1401.1179
  26. G. David. “Sliding almost minimal sets and the Plateau problem.” In Harmonic Analysis and Applications. IAS/Park City Mathemetical series Volume: 27; 199-256 (2020). arXiv:1812.02039
  27. G. David, M. Engelstein, and S. Mayboroda. “Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one.” Duke Math Journal, accepted (2020). arXiv:1808.08882
  28. G. David, M. Engelstein, and T. Toro. “Free boundary regularity for almost-minimizers.” Advances in Mathematics, accepted. (2019). arXiv:1702.06580
  29. G. David, M. Engelstein, M. S. Vega Garcia, and T. Toro. "Regularity for almost-minimizers of variable coeffcient Bernoulli-type functionals." Mathematische Zeitschrift 299(3), 2131-2169 (2021). DOI:10.1007/S00209-021-02719-5
  30. G. David and S. Mayboroda. "Good elliptic operators on Cantor sets." Advances in Mathematics 383, 107687 (2021). DOI:10.1016/j.aim.2021.107687
  31. G. David, J. Feneuil, and S. Mayboroda. “Dahlberg’s theorem in higher co-dimension.” Funct. Anal. 276 (9), 2731–2820. (2019). arXiv:1704.00667
  32. G. David, J. Feneuil, and S. Mayboroda. “Elliptic theory for sets with higher co-dimensional boundaries.” Memoirs of the AMS. 274 (1346), v-123 (2021). arXiv:1702.05503
  33. G. David, J. Feneuil, and S. Mayboroda. “A new elliptic measure on lower dimensional sets.” Acta Mathematica Sinica, English Series, Conference proceeding, 2018. arXiv:1807.07035
  34. G. David, L. Li, and S. Mayboroda. "Carleson measure estimates for the Green function."Arch. Rational Mech. Anal., accepted (2022). DOI:10.1007/s00205-021-01746-0
  35. G. David and S. Mayboroda. “Good elliptic operators on Cantor sets.” Advances in Mathematics, accepted. arXiv:2007.01745
  36. G. David, M. Filoche, and S. Mayboroda. "The landscape law for the integrated density of states." Advances in Mathematics, accepted (2021). arXiv:1909.10558
  37. D. De Silva, D. Jerison, and H. Shahgholian. "Inhomogeneous minimizers to the one-phase free boundary problem," Communications in Partial Differential Equations, accepted (2021). arXiv:2106.14576 
  38. 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." Physical Review A 104, 012207 (2021). DOI:10.1103/PhysRevA.104.012207
  39. J. Feneuil. "A change of variable for Dahlberg-Kenig-Pipher operators." Proceedings of the American Mathematical Society, accepted (2021). arXiv:2106.13152
  40. J. Feneuil. "The Green function with pole at infinity applied to the study of the elliptic measure." Analysis and PDE, accepted (2021). arXiv: 2010.04034
  41. J. Feneuil, S. Mayboroda, and Z. Zhao. “The Dirichlet problem in domains with lower dimensional boundaries.” Revista Matemática Iberoamericana 37(3), 821-910 (2021). arXiv:1810.06805
  42. J. Feneuil and B. Poggi. "Generalized Carleson perturbations of elliptic operators and applications." Transactions of the American Mathematical Society, accepted (2020). arXiv:2011.06574
  43. 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, 219702 (2020). arXiv:1505.02684
  44. M. Filoche, S. Mayboroda, and T. Tao. "The effective potential of an M-matrix." Journal of Mathematical Physics 62, 041902 (2021). DOI:10.1063/5.0042629 
  45. 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, 666 (2021). DOI:10.1038/s41586-021-03840-5
  46. 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." Nature Communications 12, 6640 (2021). DOI:10.1038/s41467-021-26689-8
  47. 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, 045305 (2018). doi:10.1103/PhysRevB.98.045305
  48. S. Hofmann, L. Li, S. Mayboroda, and J. Pipher. "The Dirichlet problem for elliptic operators having a BMO anti-symmetric part." Mathematische Annalen, (2021). DOI:10.1007/s00208-021-02219-1 
  49. S. Hofmann, J.M. Martell, S. Mayboroda, T. Toro, and Z. Zhao. "Uniform rectifiability and elliptic operators satisfying a Carleson measure condition." Geometric Functional Analysis 31, 325-401 (2021). DOI:10.1007/s00039-021-00566-4
  50. 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." Nature Photonics 14, 543–548 (2020). DOI:10.1038/s41566-020-0641-x
  51. D. Jerison. “The Two Hyperplane Conjecture.” Acta Mathematica Sinica, English Version, vol 35 (6), 728-748 (2019). arXiv:1809.10759
  52. D. Jerison and N. Kamburov. “Free boundaries subject to topological constraints.” Disc. Cont. Dyn. Systems., accepted (2019). arXiv:1902.00158
  53. K.F. Jorgensen, B. Bonef, and J.S. Speck. "High nitrogen flux plasma-assisted molecular beam epitaxy growth of InxGa1-xN films." Journal of Crystal Growth 546, 125738 (2020). DOI:10.1016/j.jcrysgro.2020.125738
  54. V. Josse and N. Cherroret. "Ondes et Desordre." Book chapter (in French, English version in preparation): Edited by Robin Kaiser, M. Leduc and H. Perrin, EDP Sciences, (2020)
  55. A. Julia, S. Nicolussi Golo and D. Vittone. "Area of intrinsic graphs and coarea formula in Carnot Groups." Mathematische Zeitschrift, accepted (2020). arXiv:2004.02520
  56. A. Julia. "A Generalized Stokes' Theorem on integral currents." Annales scientifiques de l’École normale supérieure, accepted (2019). arXiv:1901.01782
  57. A. Julia. "A Henstock Kurzweil-type integral on one dimensional integral currents." Bulletin de la Société Mathématique de France, (2020). arXiv:1905.03382
  58. A. Julia and S. Nicolussi Golo. "Intrinsic rectifiability via flat cones in the Heisenberg Group." Annali della Scuola Normale Superiore di Pisa, accepted. arXiv:2003.09196
  59. A. Julia, S. Nicolussi Golo and D. Vittone, "Nowhere differentiable intrinsic Lipschitz graphs." Bulletin of the London Mathematical Society, accepted (2021)arXiv:2101.02985 2021
  60. A. Julia, K. Bellova and F. Otto, "Uniform energy distribution in a pattern-forming system of surface charges."  Revista Matemática Iberoamericana, accepted (2021). arXiv:2004.01242
  61. 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." Optics Express 28, 18150 (2020). DOI:10.1364/oe.387561
  62. L. Lavoine and T. Bourdel. "Beyond-mean-field crossover from one dimension to three dimensions in quantum droplets of binary mixtures." Physical Review A 103 (3), 033312 (2021). DOI:10.1103/PhysRevA.103.033312
  63. 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." Journal of Applied Physics 128, 235703 (2020). DOI:10.1063/1.5143276
  64. 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." Optics Express 28 (12), 17934 (2020). DOI:10.1364/OE.392546
  65. 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." Physical Review Applied 15, 014046 (2021). DOI:10.1103/PhysRevApplied.15.014046
  66. 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. Materials 4, 054604 (2020). DOI:10.1103/PhysRevMaterials.4.054604
  67. S. Mayboroda. “The effect of disorder and irregularities on solutions to boundary value problems and spectra of differential operators.” Proceedings of the International Congress of Mathematicians–Rio de Janeiro 2018 3, 1691–1712 (2018). International Congress of Mathematicians.
  68. S. Mayboroda and B. Poggi. “Carleson perturbations of elliptic operators on domains with low dimensional boundaries.” Journal of Functional Analysis, accepted. arXiv:2007.07492
  69. S. Mayboroda and B. Poggi. “Exponential decay estimates for fundamental solutions of Schrödinger-type operators.” Transactions of the AMS 372 (6), 4313–4357 (2019). arXiv:1801.05499
  70. S. Mayboroda and Z. Zhao. “Square function estimates, BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets.” Analysis & PDE 12 (7), 1843–1890 (2019). arXiv:1802.09648
  71. 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 (2021). DOI:10.1063/5.0063237
  72. A. Merlo. "Geometry of 1-codimensional measures in Heisenberg groups." Inventiones Mathematicae, accepted (2021). arXiv:1908.11639
  73. Y. Meyer. “From Salomon Bochner to Dan Shechtman.” Transactions of The Royal Norwegian Society of Sciences and Letters (1), 1-22 (2020). hal-02471683
  74. Y. Meyer. "Curved model sets and crystalline measures." An interdisciplinary tribute to Alex Grossmann (Springer).
  75. Y. Meyer. “Restriction algebras of Fourier-Stieltjes transforms of Radon measures.” Journal of Geometric Analysis 31, 9131–9142 (2021) DOI:10.1007/s12220-020-00580-2
  76. Y. Meyer. “A letter by Eli Stein.” The Journal of Geometric Analysis 31, 7297–7303 (2021). DOI:10.1007/s12220-021-00654-9
  77. Y. Meyer. "Crystalline measures in two dimensions," Publicacions Matematiques, accepted (2021).
  78. Y. Meyer. “Trigonometric series with a given spectrum.” The Tunisian Journal of Mathematics 2 (4), 881906 (2020). DOI:10.2140/tunis.2020.2.881
  79. Y. Meyer. “Oscillating Patterns in Image Processing and In Some Nonlinear Evolution Equations.” The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures. Documents Mathematiques of the French Mathematical Society, accepted (2019). ISBN:978-0821829202
  80. Y. Meyer. “Global and local estimates on trigonometric sums.” Transactions of The Royal Norwegian Society of Sciences and Letters, accepted (2018). Semantic Scholar
  81. 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, accepted (2022). arXiv:2111.13155
  82. 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.” Applied Physics Letters 117 (2), 022107 (2020). DOI:10.1063/5.0006291
  83. 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. Science And Technology 34, 125002 (2019). DOI:10.1088/1361-6641/ab4b93
  84. 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.” Physical Review Letters 122 (10), (2019). arXiv:1810.07574
  85. 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, 172104 (2019). DOI:10.1063/1.5125788 
  86. 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 Journal of Physics 21, 105002 (2019). arXiv:1910.04148
  87. 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." Science Advances 7 (32), (2021). DOI:10.1126/sciadv.abh4232
  88. W. Wang and S. Zhang. “The exponential decay of eigenfunctions for tight binding Hamiltonians via landscape and dual landscape functions.” Annales Henri Poincaré, accepted (2020). arXiv:2003.07987
  89. 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 (2021). DOI:10.1515/nanoph-2020-0590
  90. C. Weisbuch and J. Speck. On the search for efficient solid state lighting emitters: past, present, future, invited paper in focus issue entitled Wide bandgap III-nitride devices and SSL lighting: A tribute to Professor Akasaki.” ECS Journal of Solid State Science and Technology 9, 016022 (2020). DOI:10.1149/2.0392001JSS
  91. M. A. Werner, E. Demler, A. Aspect, and G. Zarand, “Selective final state spectroscopy and multifractality in disordered Bose-Einstein condensates: a numerical study.” Scientific Reports 8, (2018). arXiv:1709.08993
  92. 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, 14740-14760 (2020). DOI:10.1021/acsnano.0c01752
  93. 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." Applied Physics Express 13, 122005 (2020). DOI:10.35848/1882-0786/abc856
  94. 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." Journal of Applied Physics 128, 225703 (2020). DOI:10.1063/5.0031863

Preprints and submitted manuscripts

  1. G. Antonelli and A. Merlo. "On rectifiable measures in Carnot groups: structure theory." Submitted (2021). arXiv:2009.13941 
  2. G. Antonelli and A. Merlo. "On rectifiable measures in Carnot groups: representation." Submitted (2021). arXiv:2104.00335
  3. D. Arnold, M. Filoche, S. Mayboroda,W.Wang, and S. Zhang. "The landscape law for tight binding Hamiltonians." Submitted (2021). arXiv:2101.03282 
  4. I. Chenn, S. Mayboroda, W. Wang, and S. Zhang. "On a novel effective equation of the reduced Hartree-Fock theory with random potential." (2021).  arXiv:2106.13887 
  5. I. Chenn and S. Zhang. "On the reduced Hartree-Fock equation with Anderson type background charge distribution." Submitted (2021). arXiv/2105.00295 
  6. I. Chenn, W. Wang, and S. Zhang, "Approximating the ground state eigenvalue via the effective potential." Submitted (2021). arXiv:2107.04969 
  7. G. David, J. Feneuil, and S. Mayboroda.  “Elliptic theory in domains with boundaries of mixed dimension.” Submitted 2020. arXiv:2003.09037
  8. G. David, J. Feneuil, and S. Mayboroda. "Green function estimates on complements of low-dimensional uniformly rectifiable sets." (2021). arXiv:2101.11646
  9. G. David, L. Li, and S. Mayboroda. "Carleson estimates for the Green function on domains with lower dimensional boundaries." Submittted (2021). arXiv:2107.08101
  10. G. David and S. Mayboroda. "Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions." Submitted (2020). arXiv:2010.09793
  11. G. David and S. Mayboroda. “Harmonic measure is absolutely continuous with respect to the Hausdorff measure on all low-dimensional uniformly rectifiable sets.” Submitted 2020. arXiv:2006.14661
  12. G. David, H. Pourmohammad, "An optimal partition problem for the localization of eigenfunctions." Submitted (2021). arXiv:2110.13757
  13. G. Del Nin and A. Merlo. "Endpoint Fourier restriction and unrectifiability." Submitted (2021). arXiv:2104.07482
  14. J. Feneuil. "Absolute continuity of the harmonic measure on low dimensional rectifiable sets." Submitted (2020). arXiv:2006.03118
  15. G. Graciani, M. Filoche, and F. Amblard. "3D stochastic interferometry detects picometer dynamics of an optical volume." Submitted (2021). arXiv:2110.07390
  16. 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.” arXiv:1908.01030
  17. S. Hofmann, J. Martell, and S. Mayboroda. “Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains.” arXiv:1904.13116 
  18. S. Hofmann, J. Martell, S. Mayboroda, T. Toro, and Z. Zhao. “Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part I: The small constant case.” arXiv:1710.06157
  19. S. Hofmann, J. Martell, S. Mayboroda, T. Toro, and Z. Zhao. Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part II: The large constant case.” arXiv:1908.03161
  20. B. Jaye and T. Merchan. "The Huovinen transform and rectifiability of measures." Submitted (2021). arXiv:2103.01155 
  21. A. Julia, S. Nicolussi Golo, and D. Vittone. "Lipschitz functions on submanifolds of Heisenberg groups." Submitted (2021). arXiv:2107.00515 
  22. C. Labourie. “Solutions of the (free boundary) Reifenberg Plateau problem.” Submitted (2020). arXiv:2002.09376
  23. C. Labourie. “Weak limits of quasiminimizing sequences.” Submitted (2020). arXiv:2002.08876
  24. B. Lecoutre, Y. Guo, X. Yu, M. Mukhtar, A. Aspect, V. Josse. "Bichromatic state-dependent speckle disordered potential for ultra cold atoms." New Journal of Physics, submitted (2021).
  25. B. Poggi. "Applications of the landscape function for Schrodinger operators with singular potentials and irregular magnetic fields." Submitted (2021). arXiv:2107.14103 
  26. V. Volchkov, V. Angelopoulou, F. Jendrzejewski, A. Aspect and L. Sanchez-Palencia. “Applied and Numerical Harmonic Analysis.” Submitted (2020).

Background Publications

  1. 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, 536-540 (2018). DOI:10.1038/s41586-018-0695-9
  2. D. Arnold, G. David, D. Jerison, S. Mayboroda, and M. Filoche. "Effective Confining Potential of Quantum States in Disordered Media." Phys. Rev. Lett. 116, 056602 (2016). DOI:10.1103/PhysRevLett.116.056602
  3. D. Arnold. “Finite Element Exterior Calculus.” CBMS-NSF Regional Conference Series in Applied Mathematics 93. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 126 (2018). DOI:10.1137/1.9781611975543
  4. 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
  5. 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, 891 (2008). arXiv:0804.1621
  6. L. A. Caffarelli, D. Jerison, and C. E. Kenig, “Some new monotonicity theorems with applications to free boundary problems.” Annals of Mathematics. (2) 155 (2), 369-404 (2002). DOI:10.2307/3062121
  7. G. David, M. Filoche, D. Jerison, and S. Mayboroda. “A free boundary problem for the localization of eigenfunctions”. Astérisque 392, SMF (2017). arXiv:1406.6596
  8. 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." (2021). arXiv:2108.08008
  9. S. Félix, M. Asch, M. Filoche, and B. Sapoval.  “Localization and increased damping in irregular acoustic cavities.” Journal of Science and Vibration 299, 965-976 (2007). DOI:10.1016/j.jsv.2006.07.036
  10. 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
  11. 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, 144204 (2017). DOI:10.1103/PhysRevB.95.144204
  12. 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
  13. S. Hofmann and J. Martell. “Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions.” Duke Math. J. 165 (12), 2331–2389 (2016). arXiv:1408.1447
  14. 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, 177406 (2013). arXiv:1304.5469
  15. 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 Physics 8, 398-403 (2012). arXiv:1108.0137
  16. F. Jendrzejewski, K. Muller, J. Richard, A. Date, T. Plisson, P. Bouyer, A. Aspect, and V. Josse. “Coherent Backscattering of Ultracold Atoms.” Physical Review Letters 109 (19), 195302 (2012). arXiv:1207.4775
  17. D. Jerison and N. Nadirashvili. “The hot spots conjecture for domains with two axes of symmetry.” J. Amer. Math. Soc. 13, 741–772 (2000). DOI:10.1090/S0894-0347-00-00346-5
  18. 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, 897 (2018). DOI:10.1126/science.aar8104
  19. 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.”  Physical Review Letters, Phys. Rev. Lett. 117, 074301 (2016). DOI:10.1103/PhysRevLett.117.074301
  20. M. Leite Lyra, S. Mayboroda, and M. Filoche. “Dual landscapes in Anderson localization on discrete lattices.” EPL (Europhysics Letters), 109 (4), 2015. arXiv:1410.2229
  21. S. Mayboroda and V. Maz’ya. “Polyharmonic capacity and Wiener test of higher order.” Inventiones Mathematicae, 211 (2), 779-853 (2018). DOI:10.1007/s00222-017-0756-y
  22. V. Maz’ya. “Regularity of solutions to the polyharmonic equation in general domains.” Inventiones Mathematicae 196 (1), 1–68 (2014). DOI:10.1007/s00222-013-0464-1
  23. Y. Meyer. “Measures with locally finite support and spectrum.” Proceedings of the National Academy of Sciences (USA) 113, (2016). DOI:10.1073/pnas.1600685113
  24. Y. Meyer and R. R. Coifman. “Wavelets: Calderón–Zygmund and Multilinear Operators.” Cambridge Studies in Advanced Mathematics 48, (1997). DOI:10.1112/S0024609397283955
  25. 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, 144205 (2017). arXiv:1704.05524
  26. B. Sapoval, S. Félix, and M. Filoche.  “Localisation and damping in resonators with complex geometry.” The European Physical Journal Special Topics 161, 225-232 (2008). DOI:10.1140/epjst/e2008-00763-2
  27. 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.” (2022). arXiv:2201.03278
  28. S. Semmes. “Analysis of and on uniformly rectifiable sets.” American Mathematical Society. Mathematical Surveys and Monographs 38, xii+356 (1993). DOI:10.1090/surv/038
  29. 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 Communications 38, 709 (1981). DOI:10.1016/0038-1098(81)90401-4
  30. 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, 083505 (2012). DOI:10.1063/1.4747532