List of publications
\section{Publications} \subsection{10 most important publications:} \years{2020} {\it Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one} (with Guy David and Max Engelstein), {\tt Duke Mathematical Journal}, 170, 455-501, (2021), \DOI:10.1215/00127094-2020-0048, https://arxiv.org/pdf/1808.08882.pdf. \ \years{2019} {\it The effect of disorder and irregularities on solutions to boundary value problems and spectra of differential operators}, {\tt Proceedings of the International Congress of Mathematicians--Rio de Janeiro 2018,} 3, 1691--1712 (2018), \DOI:10.1142/9789813272880-0113 \ \years{2018} {\it Polyharmonic capacity and Wiener test of higher order} (with Vladimir Maz'ya), {\tt Inventiones Mathematicae}, 211, 779, DOI: 10.1007/s00222-017-0756-y. \ \years{2016} {\it The effective confining potential of quantum states in disordered media} (with Doug Arnold, Guy David, Marcel Filoche, and David Jerison), {\tt Physical Review Letters}, 116 (2016), 056602, DOI: 10.1103/PhysRevLett.116.056602. \ \years{2016} {\it Rectifiability of harmonic measure} (with Jonas Azzam, Steve Hofmann, Jos\'e Mar{\'\i}a Martell, Mihalis Mourgoglou, Xavier Tolsa, and Alexander Volberg), {\tt Geometric and Functional Analysis (GAFA)}, 26, 703-728, DOI: 10.1007/s00039-016-0371-x. \ \years{2016} {\it Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions}, (with Steve Hofmann and Jose Maria Martell), {\tt Duke Math. J.}, 165, 12, 2331-2389, DOI: 10.1215/00127094-3477128. \ %\years{2016} {\it One single static measurement predicts wave localization in complex structures} (with Gautier Lefebvre, Alexane Gondel, Marc Dubois, Michael Atlan, Florian Feppon, Aim\'e Labb\'e, Camille Gillot, Alix Garelli, Maxence Ernoult, Marcel Filoche, Patrick Sebbah), {\tt Physical Review Letters}, accepted. %\ \years{2015} {\it Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators} (with Steve Hofmann, Carlos Kenig, and Jill Pipher), {\tt Journal of the American Mathematical Society}, 28, 2, 483--529. \ \years{2014} {\it Regularity of solutions to the polyharmonic equation in general domains} (with Vladimir Maz'ya), {\tt Inventiones Mathematicae}, 196, 1, 1--68. \ http://dx.doi.org/10.1007/s00222-013-0464-1. \ \years{2012} {\it Universal mechanism for Anderson and weak localization} (with Marcel Filoche), \ {\tt Proceedings of the National Academy of Sciences}, 2012 109 (37) 14761--14766; published ahead of print August 27, 2012, doi:10.1073/pnas.1120432109 \ \years{2009} {\it Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation} (with Vladimir Maz'ya), {\tt Inventiones Mathematicae}, 175, 2, 287--334.
%\subsection*{ Submitted/Preprints:} %\years{2016} {\it Absolute continuity between the surface measure and harmonic measure implies rectifiability}, (with Steve Hofmann, Jos\'e Mar{\'\i}a Martell, Xavier Tolsa and Alexander Volberg), {\tt Mathematics}, \ DOI: 10.48550/arXiv.1507.04409, https://arxiv.org/pdf/1507.04409.pdf.
%\vskip 3mm \hskip -1.1cm %\noindent {\bf Submitted:} \vskip 3mm
%\item[$\diamond$] {\it Correction to ``Hardy and BMO spaces associated to divergence form elliptic operators"} (with Steve Hofmann), submitted.
\subsection*{Published and in press:}
\years{2024} {\it Non-local distance functions and geometric regularity} (with Max Engelstein and Cole Jeznach), {\tt Advances in Mathematics}, accepted, arXiv:2208.07342 \%to Duke, August 2022, rejected in September 2022; submitted to JEMS September 2022; Accepted in Advances Mar 2024
\years{2024} {\it Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates} (with Simon Bortz, Steve Hofmann, José Luis Luna Garcia, Bruno Poggi), {\tt Archive for Rational Mechanics and Analysis}, accepted, https://arxiv.org/abs/2302.02746\
%to Arma, Feb 2023, accepted Feb 2024
\years{2024} {\it The Anderson mobility edge as a percolation transition}, (Marcel Filoche, Pierre Pelletier, Dominique Delande, Svitlana Mayboroda), {\tt Physical Review B}, accepted, http://arxiv.org/abs/2309.03813 \ %to PRL, rejected
\years{2024} {\it The landscape function on ${\bf R}^d$} (with G. David and A. Gloria), {\tt Les Annales de la Facult\'e des Sciences de Toulouse}, accepted, https://arxiv.org/abs/2307.11182 \ %to annales de la faculté des sciences de Toulouse
\years{2023} {\it Green functions and smooth distances} (with Joseph Feneuil and Linhan Li), {\tt{Math. Ann.}}, published, DOI: 10.1007/s00208-023-02715-6, arXiv:2211.05318.\%to GAFA, Nov 2022, rejected; to Duke, rejected in Apr 2023, Math Ann (current, submitted on May 4th 2023, accepted 24 Aug 2023)
\years{2023} {\it Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains} (with Steve Hofmann, Jos\'e Mar\'ia Martell), {\tt{Analysis}} \& {\tt{PDE}}, published, DOI: 10.1090/tran/9004, https://arxiv.org/abs/1904.13116. %rejected from JEMS, submitted to Analysis & PDE
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\years{2023} {\it Small $A_\infty$ results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries} (with Guy David, Linhan Li), {\tt Transactions of the AMS}, accepted, arXiv:2207.13602. %to TAMS, July 2022
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\years{2023} {\it On an Effective Equation of the Reduced Hartree-Fock Theory} (with Ilias Chenn, Wei Wang, Shiwen Zhang), {\tt Advanced Nonlinear Studies}, Special Issue in honor of David Jerison, 23, 1, DOI 10.1515/ans-2022-0070, https://arxiv.org/abs/2106.13887. %rejected from Journal de Mathématiques Pures et Appliquées, submitted to Mathematical Models and Methods in Applied Sciences in August 2022
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\years{2023} {\it The Regularity problem in domains with lower dimensional boundaries} (with Zanbing Dai and Joseph Feneuil), {\tt Journal of Functional Analysis}, 284, 11, DOI:10.1016/j.jfa.2023.109903, arXiv:2208.00628.
\ %to JFA, August 2022
\years{2022} {\it Elliptic theory in domains with boundaries of mixed dimension}, (with Guy David and Joseph Feneuil), {\tt Ast\'erisque}, published, 442, DOI:10.24033/ast.1202, https://arxiv.org/abs/2003.09037. %submitted to Asterisque spring 2020
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\years{2022} {\it Carleson Perturbations for the Regularity Problem} (with Zanbing Dai, Joseph Feneuil), {\tt Revista Matemática Iberoamericana}, DOI 10.4171/RMI/1401, arXiv:2203.07992.
\ %to Revista Matemática Iberoamericana
\years{2022}{\it Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions} (with Guy David), {\tt Adv. Math}, 410 (A), 108717. DOI:10.1016/j.aim.2022.108717, \https://arxiv.org/pdf/2010.09793.pdf. %rejected from Duke, submitted to Advances 23 Dec 2021, accepted Sep 2022
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\years{2022} {\it The landscape law for tight binding Hamiltonians}, (with Douglas N. Arnold, Marcel Filoche, Wei Wang, Shiwen Zhang), {\tt Communications in Mathematical Physics}, 396, 1339-1391, DOI:10.1007/s00220-022-04494-8, https://arxiv.org/pdf/2101.03282.pdf.
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\years{2022}{\it Carleson estimates for the Green function on domains with lower dimensional boundaries} (with Guy David and Linhan Li), {\tt Journal of functional analysis}, 283, 5, 109553, DOI:10.1016/j.jfa.2022.109553, http://arxiv.org/abs/2107.08101.
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\years{2022} {\it Harmonic measure is absolutely continuous with respect to the Hausdorff measure on all low-dimensional uniformly rectifiable sets}, (with Guy David), {\tt International Mathematics Research Notices}, 2023, 11, 9319-9426, DOI:10.1093/imrn/rnac109.
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\years{2022} {\it Wigner-Weyl description of light absorption in disordered semiconductor alloys using the localization landscape theory}, (with Jean-Philippe Banon, Pierre Pelletier, Claude Weisbuch, Marcel Filoche), {\tt Phys. Rev. B}, 105, 125422, DOI: 10.1103/PhysRevB.105.125422.
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\years{2022} {\it Green function estimates on complements of low-dimensional uniformly rectifiable sets}, (with Guy David and Joseph Feneuil), {\tt Math. Ann.}, 385, 1797-1821, DOI: 10.1007/s00208-022-02379-8.
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\years{2022} {\it Spectral functions and localization landscape theory in speckle potentials} (with P. Pelletier, D. Delande, V. Josse, A. Aspect, D. Arnold, M. Filoche), {\tt Phys Rev A}, 105, 023314, DOI:10.1103/PhysRevA.105.023314, arXiv:2111.13155.
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\years{2021} {\it $L^p$ theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part} (with Steve Hofmann, Linhan Li, Jill Pipher), {\tt Math. Z.} 301, 935--976, DOI:10.1007/s00209-021-02938-w, https://arxiv.org/pdf/1908.01030.pdf.
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\years{2021} {\it Elliptic Theory for Sets with Higher Co-Dimensional Boundaries} (with G. David and J. Feneuil), {\tt Memoirs of the American Mathematical Society} 274, 1346. DOI: 10.1090/memo/1346.
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\years{2021}{\it Carleson measure estimates for the Green function} (with Guy David and Linhan Li), {\tt Archive for Rational Mechanics and Analysis}, 243, 1525--1563, DOI: 10.1007/s00205-021-01746-0, \https://arxiv.org/pdf/2102.09592.pdf, https://link.springer.com/article/10.1007/s00205-021-01746-0.
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\years{2021} {\it The landscape law for the integrated density of states} (with Guy David and Marcel Filoche), {\tt Advances in Mathematics}, 390, 2021, 107946,
DOI: 10.1016/j.aim.2021.107946.,arXiv:1909.10558.
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\years{2021}{\it Sharp estimates for the integrated density of states in Anderson tight-binding models}, (with P.\,Desforges, S.\,Zhang, G.\,David, D.\,Arnold, W.\,Wang, M.\,Filoche), {\tt Phys. Rev. A}, 104, 012207, DOI: 10.1103/PhysRevA.104.012207.
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\years{2021} {\it The Dirichlet problem for elliptic operators having a BMO anti-symmetric part}, (with Steve Hofmann, Linhan Li, Svitlana Mayboroda, Jill Pipher), {\tt Math.Ann.}, 382, 103-168, DOI: 10.1007/s00208-021-02219-1, https://arxiv.org/abs/1908.08587.
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\years{2021} {\it Uniform rectifiability and elliptic operators satisfying a Carleson measure condition} (with Steve Hofmann, Jos\'e Mar\'ia Martell, Svitlana Mayboroda, Tatiana Toro, Zihui Zhao), {\tt Geom. Funct. Anal.} 31, 325--401, DOI: 10.1007/s00039-021-00566-4, https://arxiv.org/pdf/2008.04834.pdf.
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\years{2021} {\it Good elliptic operators on Cantor sets}, (with Guy David), {\tt Advances in Mathematics}, 383, 2021, 107687, DOI: 10.1016/j.aim.2021.107687.
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\years{2021} {\it The effective potential of an $M$-matrix}, (with Marcel Filoche and Terence Tao), {\tt Journal of Mathematical Physics}, 62, 041902 DOI: 10.1063/5.0042629.
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\years{2021}{\it Carleson perturbations of elliptic operators on domains with low dimensional boundaries} (with Bruno Poggi), {\tt Journal of Functional Analysis}, 280, 8, 2021, 108930, DOI: 10.1016/j.jfa.2021.108930.
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\years{2021} {\it Dirichlet problem in domains with lower dimensional boundaries} (with Joseph Feneuil and Zihui Zhao), {\tt Revista Matem\'atica Iberoamericana}, 37, 3, 2021, 821--910. DOI: 10.4171/rmi/1208, \https://arxiv.org/pdf/1810.06805.pdf.
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\years{2021} {\it Critical Perturbations for Second Order Elliptic Operators. Part I: Square function bounds for layer potentials} (with S. Bortz, S. Hofmann, J. L. Luna Garcia, and B. Poggi), {\tt Analysis} \& {\tt PDE}, 15, 5, 1215-1286, DOI: 10.2140/apde.2022.15.1215, https://arxiv.org/abs/2003.02703.
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\years{2021} {\it Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one} (with Guy David and Max Engelstein), {\tt Duke Math. J.} 170 3, 455--501, DOI: 10.1215/00127094-2020-0048, https://arxiv.org/pdf/1808.08882.pdf.
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\years{2021} {\it Elliptic theory for sets with higher co-dimensional boundaries} (with Guy David and Joseph Feneuil), {\tt Memoirs of the AMS}, 274, 1346. DOI: 10.1090/memo/1346.
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\years{2020} {\it Reply to comment by Comtet and Texier}, (with Douglas Arnold, Guy David, Marcel Filoche, David Jerison), {\tt Physical Review Letters}, 124, 219702, Published 28 May 2020.
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\years{2020} {\it Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations} (with Ariel Barton and Steve Hofmann), {\tt International Mathematics Research Notices}, 2021, 23, 18300-18366, DOI: 10.1093/imrn/rnaa051, https://arxiv.org/pdf/1808.07137.pdf.
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\years{2019} {\it The effect of disorder and irregularities on solutions to boundary value problems and spectra of differential operators}, {\it Proceedings of the International Congress of Mathematicians--Rio de Janeiro 2018.} Vol. III. Invited lectures, 1691--1712, World Sci. Publ., Hackensack, NJ, 2018.
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\years{2019} {\it Universality of fold-encoded localized vibrations in enzymes} (with Yann Chalopin, Francesco Piazza, Claude Weisbuch, and Marcel Filoche), {\tt Scientific Reports}, 9, 12835 (2019). \
https://doi.org/10.1038/s41598-019-48905-8
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\years{2019} {\it Bounds on layer potentials with rough inputs for higher order elliptic equations} (with Ariel Barton and Steve Hofmann), {\tt Proc. Lond. Math. Soc.} (3) 119 (2019), no. 3, 613--653.
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\years{2019} {\it Dahlberg's theorem in higher co-dimension} (with Guy David and Joseph Feneuil), {\tt J. Funct. Anal.} 276 (2019), no. 9, 2731--2820.
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\years{2019} {\it Dirichlet and Neumann boundary values of solutions to higher order elliptic equations} (with Ariel Barton and Steve Hofmann), {\tt Annales de l'Institut Fourier}, 69 (2019), no. 4, 1627--1678.
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\years{2019} {\it Square function estimates, BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets} (with Zihui Zhao), {\tt Analysis} \& {\tt PDE}, 12 (2019), no. 7, 1843--1890.
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\years{2019} {\it Exponential decay estimates for fundamental solutions of
Schr\"odinger-type operators} (with Bruno Poggi), {\tt Transactions of the AMS}, 372 (2019), no. 6, 4313--4357.
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\years{2019} {\it Localization of eigenfunctions via an effective potential} (with Douglas Arnold, Guy David, Marcel Filoche, David Jerison), {\tt Communications in Partial Differential Equations} 44 (2019), no. 11, 1186--1216.
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\years{2019} {\it A new elliptic measure on lower dimensional sets} (with Guy David and Joseph Feneuil), {\tt Acta Math. Sin. (Engl. Ser.), the special issue in honor of the 65th birthday of Professor Carlos Kenig}, 35 (2019), no. 6, 876--902.
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\years{2019} {\it Computing spectra without solving eigenvalue problems} (with Douglas Arnold, Guy David, Marcel Filoche, David Jerison), {\tt SIAM J. Sci. Comput.} 41 (2019), no. 1, B69--B92.
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\years{2018} {\it Polyharmonic capacity and Wiener test of higher order} (with Vladimir Maz'ya), \ {\tt Inventiones Mathematicae}, (2018) 211: 779. https://doi.org/10.1007/s00222-017-0756-y
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\years{2018} {\it Fundamental Matrices and Green Matrices for non-homogeneous elliptic systems} (with Blair Davey and Jonathan Hill), {\tt Publicacions Matematiques}, Volume 62, Number 2 (2018), 537--614.
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\years{2018} {\it The Neumann problem for higher order elliptic equations with symmetric coefficients} (with Ariel Barton and Steve Hofmann), {\tt Math. Ann.}, (2018) 371: 297. https://doi.org/10.1007/s00208-017-1606-3
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\years{2017} {\it Localization landscape theory of disorder in semiconductors III: Application to carrier transport and recombination in light emitting diodes,} (with Chi-Kang Li, Marco Piccardo, Li-Shuo Lu, Lucio Martinelli, Jacques Peretti, James S. Speck, Claude Weisbuch, Marcel Filoche, Yuh-Renn Wu), {\tt Phys. Rev. B}, 95, 144206 (2017)
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\years{2017} {\it Localization landscape theory of disorder in semiconductors I: Theory and modeling} (with Marcel Filoche, Marco Piccardo, Yuh-Renn Wu, Chi-Kang Li, Claude Weisbuch), {\tt Phys. Rev. B}, 95, 144204 (2017).\
\years{2017} {\it A free boundary problem for the localization of eigenfunctions} (with Guy David, Marcel Filoche, David Jerison), a monograph, {\tt Ast\'erisque}, 392 (2017), 203 pages
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\years{2017} {\it Square function estimates on layer potentials for higher-order elliptic equations} (with Ariel Barton and Steve Hofmann), {\tt Mathematische Nachrichten}, 290: 2459--2511. doi:10.1002/mana.201600116
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\years{2017}
{\it Local Hardy spaces associated with inhomogeneous higher order elliptic operators} (with Dachun Yang and Jun Cao), {\tt Anal. Appl.} (Singap.) 15 (2017), no. 2, 137--224.
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\years{2016} {\it Localization of eigenfunctions}, {\tt Notices of the AMS}, April 2017, 341--342. \
\years{2016} {\it One single static measurement predicts wave localization in complex structures} (with Gautier Lefebvre, Alexane Gondel, Marc Dubois, Michael Atlan, Florian Feppon, Aim\'e Labb\'e, Camille Gillot, Alix Garelli, Maxence Ernoult, Marcel Filoche, Patrick Sebbah), {\tt Physical Review Letters}, 117, 074301 (2016).
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\years{2016}
{\it Higher-order elliptic equations in non-smooth domains: some old and new results} (with Ariel Barton), Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory.
Celebrating Cora Sadosky's life. Volume 1.
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\years{2016} {\it Rectifiability of harmonic measure} (with Jonas Azzam, Steve Hofmann, Jos\'e Mar{\'\i}a Martell, Mihalis Mourgoglou, Xavier Tolsa, and Alexander Volberg), {\tt Geom. Funct. Anal.} 26 (2016), no. 3, 703--728. DOI: 10.1007/s00039-016-0371-x
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\years{2016} {\it Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension one Hausdorff measure} (with Jonas Azzam, Steve Hofmann, Jos\'e Mar{\'\i}a Martell, Mihalis Mourgoglou, Xavier Tolsa, and Alexander Volberg), C. R. Math. Acad. Sci. Paris 354 (2016), no. 4, 351–355.
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\years{2016} {\it The effective confining potential of quantum states in disordered media} (with Doug Arnold, Guy David, Marcel Filoche, and David Jerison), {\tt Physical Review Letters}, 116 (2016), 056602.
\
\years{2016}
{\it Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces} (with Ariel Barton), {\tt Mem. Amer. Math. Soc.} 243 (2016), no. 1149, v+110 pp.
\
\years{2016}
{\it Uniform Rectifiability,
Carleson measure estimates, and approximation of harmonic functions}, (with Steve Hofmann and Jose Maria Martell), {\tt Duke Math. J.} 165 (2016), no. 12, 2331--2389.
\
\years{2016}
{\it Maximal function characterizations of Hardy spaces associated to homogeneous
higher order elliptic operators} (with Dachun Yang and Jun Cao), {\tt Forum Math.} 28 (2016), no. 5, 823--856.
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\years{2015}
{\it Dual hidden landscapes in Anderson localization on discrete lattices} (with Marcel Filoche, Marcelo Lyra), {\tt Europhys. Lett. EPL}, Volume 109, Number 4, {\it Editor's choice}.
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\years{2015}
{\it $L^p$ and endpoint solvability results for divergence form elliptic
equations with complex $L^{\infty}$ coefficients} (with Steve Hofmann and Mihalis Mourgoglou), {\tt Advances in Mathematics}, 270 (2015), 480--564.
\
\years{2015}
{\it The Regularity problem for second order elliptic operators with real non-symmetric coefficients} (with Steve Hofmann, Carlos Kenig, and Jill Pipher), {\tt Mathematische Annalen}, 361 (2015), no. 3-4, 863--907.
%vague enough, just NSF
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\years{2015}
{\it Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators} (with Steve Hofmann, Carlos Kenig, and Jill Pipher), {\tt Journal of the American Mathematical Society}, 28 (2015), no. 2, 483--529. \
http://www.ams.org/journals/jams/0000-000-00/S0894-0347-2014-00805-5/S0894-0347-2014-00805-5.pdf
%vague enough, just NSF
\
\years{2014}
{\it Regularity of solutions to the polyharmonic equation in general domains} (with Vladimir Maz'ya), {\tt Inventiones Mathematicae}, 196 (2014), no. 1, 1--68. \
http://dx.doi.org/10.1007/s00222-013-0464-1.
%did not mention any NSF!?
\
\years{2014}
{\it Uniform Rectifiability and Harmonic Measure III: Riesz transform bounds imply uniform rectifiability of boundaries of 1-sided NTA domains} (with Steve Hofmann and Jose Maria Martell), {\tt International Mathematics Research Notices}, 2014, no. 10, 2702--2729. http://dx.doi.org/10.1093/imrn/rnt002.
\
%did not mention Inspire, but will probably start here for reporting
\years{2014}
{\it Boundary-value problems for higher-order elliptic equations in non-smooth domains} (with Ariel Barton), {\tt Concrete operators, spectral theory, operators in harmonic analysis and \ approximation, 53–93, Oper. Theory Adv. Appl.}, 236, Birkh\"auser Springer, Basel, 2014.
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\years{2013}
{\it The Dirichlet problem for higher order equations in composition form} (with Ariel Barton), {\tt Journal of Functional Analysis}, Volume 265, Issue 1, (2013), 49--107, \http://dx.doi.org/10.1016/j.jfa.2013.03.013.
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\years{2013}
{\it The landscape of Anderson localization in a disordered medium} (with Marcel Filoche), {\tt Contemporary Mathematics}, 601 (2013), 113--121, \
http://dx.doi.org/10.1090/conm/601/11916.
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\years{2012}
{\it Universal mechanism for Anderson and weak localization} (with Marcel Filoche), \ {\tt Proceedings of the National Academy of Sciences}, 2012 109 (37) 14761--14766; published ahead of print August 27, 2012, doi:10.1073/pnas.1120432109
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\years{2012}
{\it Localization of eigenfunctions of a one-dimensional elliptic operator} (with Marcel Filoche and Brandon Patterson), ``Recent Advances in Harmonic Analysis and Partial Differential Equations", {\tt Contemporary Mathematics,} 581 (2012), 99--116, \
http://dx.doi.org/10.1090/conm/581
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\years{2011}
{\it Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces} (with Alan
McIntosh and Steve Hofmann), {\tt Les Annales Scientifiques de l'Ecole Normale Sup\'erieure}, Volume 44, fascicule 5 (2011), 723--800.
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\years{2010}
{\it {The connections between Dirichlet, Regularity and Neumann problems for second order elliptic operators with complex bounded measurable coefficients}}, {\tt Advances in Mathematics} 225 (2010), 1786--1819.
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\years{2009}
{\it Boundedness of the gradient of a solution
and Wiener test of order one for the biharmonic equation} (with
Vladimir Maz'ya), {\tt Inventiones Mathematicae}, 175 (2009), no. 2, 287--334.
\
\years{2009}
{\it Strong localization induced by one clamped point in thin plate vibrations}
(with Marcel Filoche),
{\tt Physical Review Letters}, Volume: 103, Issue: 25, Article Number: 254301, (2009).
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\years{2009}
{\it Finite square function implies integer dimension} (with Alexander Volberg), {\tt Comptes Rendus - Math\'ematique} 347 (2009), pp. 1271--1276.
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\years{2009}
{\it Hardy and BMO spaces associated to
divergence form elliptic operators} (with Steve Hofmann), {\tt Mathematische Annalen}, 344 (2009), no. 1, 37--116.
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\years{2009}
{\it Boundedness of the square function and rectifiability} (with Alexander Volberg), {\tt Comptes Rendus - Math\'ematique} 347 (2009), pp. 1051--1056.
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\years{2009}
{\it Pointwise estimates for the polyharmonic Green function in general domains}
(with Vladimir Maz'ya), Cialdea, Alberto (ed.) et al., {\tt Analysis, partial differential equations and applications.} The Vladimir Maz'ya anniversary volume. Selected papers of the international workshop, Rome, Italy, June 30--July 3, 2008. Basel: Birkh\"auser. Operator Theory: Advances and Applications 193, 143-158 (2009).
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\years{2008}
{\it Boundedness of the Hessian of a biharmonic
function in a convex domain} (with Vladimir Maz'ya), {\tt Comm. Partial Differential Equations} 33 (2008), no. 7-9, 1439--1454.
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\years{2007}
{\it{Interpolation of
Hardy-Sobolev-Besov-Triebel-Lizorkin spaces and applications to
problems in partial differential equations}} (with Nigel Kalton
and Marius Mitrea), Interpolation Theory and Applications,
{\tt Contemporary Mathematics}, 445 (2007), 121--177.
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\years{2007}
{\it{The solution of the Chang-Krantz-Stein
conjecture}} (with Marius Mitrea), to appear in {\tt Proceedings of the
Workshop in Harmonic Analysis}, Tokyo, Japan.
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\years{2006}
{\it{The Poisson problem for the Lam\'e system
on low-dimensional Lipschitz domains}} (with Marius Mitrea),
{\tt Integral methods in science and engineering}, 137--160, Birkhauser
Boston, Boston, MA, 2006.
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\years{2006}
{\it{Layer potentials and boundary value
problems for Laplacian in Lipschitz domains with data in
quasi-Banach Besov spaces}} (with Marius Mitrea), {\tt Annali di
Matematica Pura ed Applicata} (4) 185 (2006), no. 2, 155--187.
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\years{2004}
{\it{Sharp estimates for Green potentials on
non-smooth domains}} (with Marius Mitrea), {\tt Mathematical Research
Letters}, 11 (2004), 481--492.
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\years{2004}
{\it Square-function estimates for singular
integrals and applications to partial differential equations}
(with Marius Mitrea), {\tt Differential Integral Equations}, 17 (2004),
no. 7-8, 873--892.
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\years{2001}
{\it On one approach to the solution of problems of numerical analysis of the electrostatic field}, {\tt Collection of the scientific works of KISP}, V. 6 (2001), 223--227.
%\subsection*{To be submitted within 2-3 months:} %\years{2015} {\it The origin of strong localization of quantum states in disordered media}, (with Doug Arnold, Guy David, Marcel Filoche, and David Jerison), in preparation. %\ %\years{2015} {\it %Carleson measure estimates and approximation of solutions in uniformly rectifiable domains} (with Steve Hofmann and Jose Maria Martell), in preparation. %\item[$\diamond$] {\it{Green potential estimates and the Poisson problem on Lipschitz domains}} (with Marius Mitrea), in preparation. %\ %\years{2015} {\it Spectral properties of the operator pencils %and regularity of the solution for the biharmonic equation on a %non-smooth domain} (with Vladimir Maz'ya), in preparation.
2016
- A. Rossi and J. Black. Lorem ipsum dolor sit amet Mathematics and Financial Economics 9, 100-200, 2016.
- P. Pallino and J. Black. Praesent commodo cursus magna Annals of Applied Probability 11, 1-20, 2016.
2015
- J. Black. Lorem ipsum dolor sit amet Mathematics and Financial Economics 9, 100-200, 2015.
- J. Black. Praesent commodo cursus magna Annals of Applied Probability 11, 1-20, 2015.
- J. Black. Duis mollis, est non commodo luctus, nisi erat porttitorligula Annals of Applied Probability 5, 10-33, 2015.
2014 and older
- J. Black. Lorem dolor sit amet Stochastic Processes and their Applications X, 1-2, 2014.
- J. Black. Lorem ipsum dolor amet Stochastic Processes Y, 1-2, 2013.