Published and Accepted

  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, pages 536-540, 2018. doi:10.1038/s41586-018-0695-9
  2. R. Aleksiejūnas, K. Nomeika, O. Kravcov, S. Nargelas, L. Kuritzky, C. Lynsky, S. Naka-mura, 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
  3. D. Arnold and J. Guzman. "Local L2-bounded commuting projections in FEEC." (2021). 
  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."   
  5.  D. Arnold, G. David, M. Filoche, D. Jerison, and S. Mayboroda. “Localization of eigenfunctions via an effective potential." Comm. PDE (2019). doi: 10.1080/03605302.2019.1626420. arXiv:1712.02419
  6. D. Arnold and K. Hu. "Complexes from complexes." Foundations of Computational Mathematics (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: 10.1063/5.0039773J. 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.
  10. 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, no. 3, 613–653. (2019). DOI:10.1112/plms.12241
  11. 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
  12. 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, no. 4, 1627–1678. (2019). arXiv:1703.06963
  13. T. Beck, D. Jerison, and S. Raynor. “Two phase free boundary problems in convex domains”, Journal of Geometric Analysis, Accepted. (2020). 
  14. 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). (2018). arXiv:1710.05595
  15.  K. Bellova, A. Julia, and F. Otto. "Uniform energy distribution in a pattern-forming system of surface charges." Revista Matematica Iberoamericana (2020). 
  16. 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
  17. 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)
  18. 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
  19. 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 
  20. Y. Chalopin, F. Piazza, S. Mayboroda, C. Weisbuch, and M. Filoche. “Universality of fold-encoded localized vibrations in enzymes.” Scientific Reports 9, 12835. DOI: 10.1038/s41598-019-48905-8. (2019). arXiv:1902.09939
  21. 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
  22. 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
  23. G. David. “Local Regularity Properties of Almost and Quasiminimal Sets With a Sliding Boundary Condition.” Astérisque No. 411 ix+377 pp. (2019). arXiv:1401.1179
  24. 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
  25. G. David, M. Engelstein, and S. Mayboroda. “Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one.” Accepted, Duke Math Journal. (2020). arXiv:1808.08882
  26. G. David, M. Engelstein, and T. Toro. “Free boundary regularity for almost-minimizers.” Advances in Mathematics. Accepted. (2019). arXiv:1702.06580
  27. G. David, M. Engelstein, M. S. Vega Garcia, and T. Toro. "Regularity for almost-minimizers of variable coeffcient Bernoulli-type functionals." Mathematische Zeitschrift (2021). DOI: 10.1007/S00209-021-02719-5
  28. G. David and S. Mayboroda. "Good elliptic operators on Cantor sets." Advances in Mathematics 383, 107687 (2021). DOI: 10.1016/j.aim.2021.107687
  29. 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. arXiv:1807.07035
  30. G. David, J. Feneuil, and S. Mayboroda. “Dahlberg’s theorem in higher co-dimension.” Funct. Anal. 276, no. 9, 2731–2820. (2019). arXiv:1704.00667
  31. G. David, J. Feneuil, and S. Mayboroda. “Elliptic theory for sets with higher co-dimensional boundaries.” Memoirs of the AMS. Accepted. (2018). arXiv:1702.05503
  32. G. David and S. Mayboroda. “Good elliptic operators on Cantor sets.” Advances in Mathematics, accepted. arXiv:2007.01745
  33. G. David, M. Filoche, and S. Mayboroda. "The landscape law for the integrated density of states." Advances in Mathematics. Accepted (2021). arXiv: 1909.10558\
  34. 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
  35. 36.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
  36. J. Feneuil, S. Mayboroda, and Z. Zhao. “The Dirichlet problem in domains with lower dimensional boundaries.” Revista Matemática Iberoamericana. Accepted. (2018). arXiv:1810.06805
  37. 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
  38. 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 
  39. 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." Accepted, Nature. arXiv: 2010.10978
  40. 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. arXiv:1805.09030
  41. 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 
  42. 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
  43. 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
  44. D. Jerison. “The Two Hyperplane Conjecture.” Acta Mathematica Sinica, English Version, vol 35 (6) June 2019, pp 728--748. arXiv:1809.10759. arXiv:1809.10759
  45. D. Jerison and N. Kamburov. “Free boundaries subject to topological constraints.” Disc. Cont. Dyn. Systems. Accepted. (2019). arXiv:1902.00158
  46. 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
  47. 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)
  48. 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
  49. 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, 033312 (2021). DOI: 10.1103/PhysRevA.103.033312
  50. 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
  51. 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 (2020). DOI: 10.1364/OE.392546
  52. 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
  53. 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
  54. 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. Vol. III. Invited lectures, 1691–1712, World Sci. Publ., Hackensack, NJ. (2018). International Congress of Mathematicians.
  55. S. Mayboroda and B. Poggi. “Carleson perturbations of elliptic operators on domains with low dimensional boundaries.” Journal of Functional Analysis, accepted. arXiv:2007.07492
  56. S. Mayboroda and B. Poggi. “Exponential decay estimates for fundamental solutions of Schrödinger-type operators.” Transactions of the AMS, 372, no. 6, 4313–4357. (2019). arXiv:1801.05499
  57. S. Mayboroda and Z. Zhao. “Square function estimates, BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets.” Analysis & PDE, 12, no. 7, 1843–1890. (2019). arXiv:1802.09648
  58. S. Marcinkevicius, R. Yapparov, Y.C. Chow, C. Lynsky, S. Nakamura, S.P. DenBaars, J.S. Speck. "High internal quantum efficiency of long wavelength InGaN quantum wells." Applied Physics Letters. Accepted, 2021.
  59. A. Merlo. "Geometry of 1-codimensional measures in Heisenberg groups." Inventiones Mathematicae, Accepted (2021). arXiv: 1908.11639
  60. Y. Meyer. “From Salomon Bochner to Dan Shechtman.” Transactions of The Royal Norwegian Society of Sciences and Letters. (1) 1-22. (2020). hal-02471683
  61. Y. Meyer. "Curved model sets and crystalline measures." An interdisciplinary tribute to Alex Grossmann (Springer).
  62. Y. Meyer. “Restriction algebras of Fourier-Stieltjes transforms of Radon measures.” Journal of Geometric Analysis, Accepted. (2019)
  63. Y. Meyer. “A letter by Eli Stein.” Accepted for publication in The Journal of Geometric Analysis (JGA). (2019)
  64. Y. Meyer. "Crystalline measures in two dimensions," Publicacions Matematiques. Accepted (2021).
  65. Y. Meyer. “Trigonometric series with a given spectrum.” The Tunisian Journal of Mathematics. Vol. 2, No. 4, 881906. (2020). doi:10.2140/tunis.2020.2.881
  66. 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
  67. Y. Meyer. “Global and local estimates on trigonometric sums.” Transactions of The Royal Norwegian Society of Sciences and Letters, Accepted. (2018). Semantic Scholar
  68. 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, 022107. (2020). doi:10.1063/5.0006291
  69. 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
  70. 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
  71. 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). 
  72. 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 (10). (2019). arXiv:1910.04148
  73. W. Wang and S. Zhang. “The exponential decay of eigenfunctions for tight binding Hamiltonians via landscape and dual landscape functions.” Annales Henri Poincaré. Accepted, arxiv:2003.07987 (2020). arXiv:2003.07987
  74. C. Weisbuch, S. Nakamura, Y. Wu, and J. Speck. "Disorder effects in nitride semiconductors:impact on fundamental and device properties." Nanophotonics, vol. 10, no. 1, pp. 3-21 (2021). DOI: 10.1515/nanoph-2020-0590
  75. 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
  76. 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
  77. 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
  78. 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
  79. 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. A. Alvertis, R. H. Friend, A. Rao, A. Chin, and B. Monserrat. “Exciton temperature dependence dictated by localization in organic semiconductors.” Submitted.
  2. G. Antonelli and A. Merlo. "On rectifiable measures in Carnot groups: structure theory." Submitted (2021). 
  3. G. Antonelli and A. Merlo. "On rectifiable measures in Carnot groups: representation." Submitted (2021). 
  4. D. Arnold, M. Filoche, S. Mayboroda,W.Wang, and S. Zhang. "The landscape law for tight binding Hamiltonians." Submitted (2021). 
  5. T. Beck and D. Jerison. “The Friedland-Hayman inequality and Caffarelli’s contraction theorem.” Submitted. (2019) 
  6. T. Beck and D. Jerison. “The case of equality in an inequality of Friedland-Hayman type.” Submitted. (2019)
  7. I. Chenn, S. Mayboroda, W. Wang, and S. Zhang. "On a novel effective equation of the reduced Hartree-Fock theory with random potential." (2021). 
  8. I. Chenn and S. Zhang. "On the reduced Hartree-Fock equation with Anderson type background charge distribution." Submitted (2021). 
  9. I. Chenn, W. Wang, and S. Zhang, "Approximating the ground state eigenvalue via the effective potential." Submitted (2021). 
  10. G. David, J. Feneuil, and S. Mayboroda.  “Elliptic theory in domains with boundaries of mixed dimension.” Submitted, 2020. 
  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. 
  12. G. David and S. Mayboroda. "Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions." Submitted (2020). 
  13. G. David, L. Li, and S. Mayboroda. "Carleson measure estimates for the Green function." (2021). 
  14. G. David, L. Li, and S. Mayboroda. "Carleson estimates for the Green function on domains with lower dimensional boundaries." Submittted (2021). 
  15. G. David, J. Feneuil, and S. Mayboroda. "Green function estimates on complements of lowdimensional uniformly rectifiable sets." (2021). 
  16. G. Del Nin and A. Merlo. "Endpoint Fourier restriction and unrectifiability." Submitted (2021). 
  17. D. De Silva, D. Jerison, and H. Shahgholian. "Inhomogeneous minimizers to the one-phase free boundary problem." Submitted (2021). 
  18. J. Feneuil. "Absolute continuity of the harmonic measure on low dimensional rectifiable sets." Submitted (2020). 
  19. J. Feneuil. "A change of variable for Dahlberg-Kenig-Pipher operators." Submitted (2021).
  20. J. Feneuil and B. Poggi. "Generalized Carleson perturbations of elliptic operators and applications." Submitted (2020). \
  21. 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." Submitted (2021). 
  22. G. Graciani, M. Filoche, and F. Amblard. "3D stochastic interferometry detects picometer dynamics of an optical volume." Submitted (2021).
  23. 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
  24. 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 
  25. 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
  26. 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
  27. B. Jaye and T. Merchan. "The Huovinen transform and rectifiability of measures." Submitted (2021). 
  28. A. Julia. "The generalized Stokes’ theorem on integral currents." Submitted (2019). 
  29. A. Julia, S. Nicolussi Golo, and D. Vittone. "Lipschitz functions on submanifolds of Heisenberg groups." Submitted (2021). 
  30. A. Julia, S. Nicolussi Golo, and D. Vittone. "Nowhere differentiable intrinsic Lipschitz graphs." Submitted (2021). 
  31. C. Labourie. “Solutions of the (free boundary) Reifenberg Plateau problem.” arXiv: 2002.09376. Submitted. (2020). arXiv:2002.09376
  32. C. Labourie. “Weak limits of quasiminimizing sequences.” arXiv:2002.08876. Submitted. (2020). arXiv:2002.08876
  33. B. Poggi. "Applications of the landscape function for Schrodinger operators with singular potentials and irregular magnetic fields." Submitted (2021). 
  34. V. Volchkov, V. Angelopoulou, F. Jendrzejewski, A. Aspect and L. Sanchez-Palencia. “Applied and Numerical Harmonic Analysis.” Submitted. (2020)

Background Publications

  1. 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.
  2. D. Arnold. “Finite Element Exterior Calculus.” CBMS-NSF Regional Conference Series in Applied Mathematics 93. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2018.
  3. 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, 10.1126/science.1217745, 2012. doi:10.1126/science.1217745
  4. 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
  5. L. A. Caffarelli, D. Jerison, and C. E. Kenig, “Some new monotonicity theorems with applications to free boundary problems.” Annals of Mathematics. (2) vol 155, no. 2, 369-404, 2002. doi:10.2307/3062121
  6. 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
  7. 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
  8. M. Filoche and S. Mayboroda. “Universal mechanism for Anderson and weak localization.” Proc. Natl Acad. Sci.USA 109 (37):14761-14766, doi:10.1073/pnas.1120432109, 2012. doi:10.1073/pnas.1120432109
  9. 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. doi:10.1103/PhysRevB.95.144204, 2017. arXiv:1704.05512
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