Probability

[1] Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields

Alexander I. Bufetov Aix-Marseille Universite, Centrale Marseille, CNRS; Steklov Institute of Mathematics; Institute for Information Transmission Problems; National Research University Higher School of Economics Yanqi Qiu CNRS, Institut de Mathematiques de Toulouse, Universite Paul Sabatier; Institute of Mathematics and Hua Loo-Keng Key Laboratory of Mathematics, AMSS, Chinese Academy of Sciences

Probability Representation Theory mathscidoc:1810.28001

Compositio Mathematica, 153, 2482-2533, 2017
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[2] Random band matrices in the delocalized phase, II: Generalized resolvent estimates

Paul Bourgade Courant Institute Fan Yang University of California, Los Angeles Horng-Tzer Yau Harvard University Jun Yin University of California, Los Angeles

Mathematical Physics Probability mathscidoc:1808.22001

2018.7
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[3] Random band matrices in the delocalized phase, III: Averaging fluctuations

Fan Yang Department of Mathematics, University of California, Los Angeles Jun Yin Department of Mathematics, University of California, Los Angeles

Probability mathscidoc:1808.28001

2018.7
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[4] Genealogies in expanding populations

Wai Tong Fan University of North Carolina at Chapel Hill

Probability mathscidoc:1806.28003

Annals of applied probability, 26, (6), 2016
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[5] Hydrodynamic limits and propagation of chaos for interacting random walks in domains

Wai Tong Fan UW-Madison

Probability mathscidoc:1806.28002

Annals of applied probability, 27, (3), 2017
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[6] Systems of interacting diffusions with partial annihilations through membranes

Wai Tong Fan UW-Madison

Probability mathscidoc:1806.28001

Annals of Probability, 45, 47, 2017
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[7] Necessary and sufficient conditions for consistent root reconstruction in Markov models on trees

Wai Tong Fan UW-Madison

Information Theory Probability Statistics Theory and Methods mathscidoc:1806.19001

Electronic Journal of Probability, 23, (47), 24, 2018
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[8] Open ASEP in the Weakly Asymmetric Regime

Ivan Corwin Columbia University Hao Shen Columbia University

Probability mathscidoc:1805.28006

Communications on Pure and Applied Mathematics, 2018
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[9] A Central Limit Theorem for the KPZ Equation

Martin Hairer Imperial College Hao Shen Columbia University

Probability mathscidoc:1805.28005

The Annals of Probability, 45, (6), 4167–4221, 2017
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[10] The Dynamical Sine-Gordon Model

Martin Hairer Imperial College Hao Shen Columbia University

Probability mathscidoc:1805.28004

Communications in Mathematical Physics, 341, (3), 933–989, 2016.2
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[11] Local law of addition of random matrices on optimal scale

Zhigang Bao Hong Kong University of Science and Technology Laszlo Erdos IST Austria Kevin Schnelli KTH Royal Institute of Technology

Mathematical Physics Probability mathscidoc:1805.22001

Communications in Mathematical Physics
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[12] The smallest singular value of deformed random rectangular matrices

Fan Yang University of Wisconsin-Madison

Probability mathscidoc:1805.28003

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[13] Convergence of eigenvector empirical spectral distribution of sample covariance matrices

Haokai Xi University of Wisconsin-Madison Fan Yang University of California, Los Angeles Jun Yin University of California, Los Angeles

Probability mathscidoc:1805.28002

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[14] A necessary and sufficient condition for edge universality at the largest singular values of covariance matrices

Xiucai Ding University of Toronto Fan Yang University of Wisconsin-Madison

Probability mathscidoc:1805.28001

Annals of Applied Probability, 2018
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[15] Alternating Arm Exponents for the Critical Planar Ising Model

Hao Wu Yau Mathematical Sciences Center, Tsinghua University

Mathematical Physics Probability mathscidoc:1802.22002

The Annals of Probability, 2018.10
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[16] Intersection of SLE Paths: the double and cut point dimension of SLE

Hao Wu Yau Mathematical Science Center, Tsinghua University, China Jason Miller Department of Pure Mathematics and Mathematics Statistics, University of Cambridge, UK

Probability mathscidoc:1707.28001

Probab. Theorey Relat. Fields, (167), 45-105, 2017.1
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[17] On the energy landscape of the mixed even p-spin model

Wei-Kuo Chen University of Minnesota Madeline Handschy University of Minnesota Gilad Lerman University of Minnesota

Probability mathscidoc:1704.28002

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[18] The Parisi formula has a unique minimizer

Antonio Auffinger Northwestern University Wei-Kuo Chen University of Minnesota

Probability mathscidoc:1704.28001

Communications in Mathematical Physics, 335, (3), 1429-1444, 2015
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[19] Quenched invariance principles for random walks and elliptic diffusions in random media with boundary

Zhen-Qing Chen University of Washington David A. Croydon University of Warwick Takashi Kumagai Kyoto University

Probability mathscidoc:1703.28002

The Annals of Probability, 43, (4), 1594-1642, 2015
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[20] Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation

Ruihan Guo School of Mathematics and Statistics, Zhengzhou University Yan Xu School of Mathematical Sciences, University of Science and Technology of China Zhengfu Xu Department of Mathematical, Michigan Technological University

Probability mathscidoc:1703.28001

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[21] Reconstruction of a persistent random walk from exit time distributions

Pak-Wing Fok Univ. of Delaware Q. Han Univ. of Delaware Tom Chou UCLA

Mathematical Physics Numerical Analysis and Scientific Computing Probability mathscidoc:1702.22010

IMA Journal of Applied Mathematics , 80, 1-23, 2015
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[22] Identifiability of Age-Dependent Branching Processes from Extinction Probabilities and Number Distributions

Pak-Wing Fok Univ. of Delaware Tom Chou UCLA

Functional Analysis Mathematical Physics Probability Theoretical Physics mathscidoc:1702.12002

Journal of Statistical Physics, 152, (4), 769-786, 2013.8
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[23] A Hierarchical Kinetic Theory of Birth, Death and Fission in Age-Structured Interacting Populations

Tom Chou UCLA Chris Greenman Univ. of East Anglia

Mathematical Physics Probability Theoretical Physics mathscidoc:1702.22009

J. Stat. Phys., 164, 49-76, 2016
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[24] Convergence of Stochastic Interacting Particle Systems in Probability under a Sobolev Norm

Jian-Guo Liu Duke University Yuan Zhang UCLA, Los Angeles

Probability mathscidoc:1702.28004

Annals of Mathematical Sciences and Application, 1, (2), 251–299, 2016.1
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[25] Convergence of Diffusion-Drift Many Particle Systems in Probability Under a Sobolev Norm

Jian-Guo Liu Duke University Yuan Zhang Dept. of Mathematics, UCLA

Probability mathscidoc:1702.28003

From Particle Systems to Partial Differential Equations III, 195-223, 2016.1
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[26] Propagation of chaos for large Brownian particle system with Coulomb interaction

Jian-Guo Liu Duke University Rong Yang Beijing University of Technology

Probability mathscidoc:1702.28002

Research in the Mathematical Sciences, 3, (1), 3-40, 2016.12
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[27] Fractional stochastic differential equations satisfying fluctuation-dissipation theorem

Lei Li Duke University Jian-Guo Liu Duke University Jianfeng Lu Duke University

Probability mathscidoc:1702.28001

2017.1
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[28] Random walks and induced Dirichlet forms on self-similar sets

Shi-Lei Kong The Chinese University of Hong Kong Ka-Sing Lau The Chinese University of Hong Kong Ting-Kam Leonard Wong University of Southern California

Dynamical Systems Functional Analysis Metric Geometry Probability mathscidoc:1701.28005

Advances in Mathematics, 320, 1099--1134, 2017.9
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[29] Asymptotics for the size of the largest component scaled to “log$n$” in inhomogeneous random graphs

Tatyana S. Turova Centre for Mathematical Sciences, Lund University

Information Theory Optimization and Control Probability mathscidoc:1701.19001

Arkiv for Matematik, 51, (2), 371-403, 2012.1
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[30] Phase transitions for modified Erdős–Rényi processes

Svante Janson Department of Mathematics, Uppsala University Joel Spencer Courant Institute, New York University

Optimization and Control Probability mathscidoc:1701.27004

Arkiv for Matematik, 50, (2), 305-329, 2010.5
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[31] On the scaling limit of loop-erased random walk excursion

Fredrik Johansson Viklund Department of Mathematics, Columbia University

Complex Variables and Complex Analysis Probability mathscidoc:1701.08007

Arkiv for Matematik, 50, (2), 331-357, 2010.6
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[32] Erratum to: The hitting distributions of a half real line for two-dimensional random walks

Kôhei Uchiyama Department of Mathematics, Tokyo Institute of Technology

Probability mathscidoc:1701.28004

Arkiv for Matematik, 50, (1), 199-200, 2011.5
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[33] Percolation in invariant Poisson graphs with i.i.d. degrees

Maria Deijfen Department of Mathematics, Stockholm University Olle Häggström Department of Mathematics, Chalmers University of Technology Alexander E. Holroyd Microsoft Research, 1 Microsoft Way, Redmond, WA, U.S.A.

Optimization and Control Probability mathscidoc:1701.27003

Arkiv for Matematik, 50, (1), 41-58, 2010.2
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[34] A note on records in a random sequence

Lars Holst Department of Mathematics, Royal Institute of Technology

Probability mathscidoc:1701.28003

Arkiv for Matematik, 49, (2), 351-356, 2009.10
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[35] Long and short paths in uniform random recursive dags

Luc Devroye School of Computer Science, McGill University Svante Janson Department of Mathematics, Uppsala University

Optimization and Control Probability mathscidoc:1701.27002

Arkiv for Matematik, 49, (1), 61-77, 2009.6
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[36] Upper tails for counting objects in randomly induced subhypergraphs and rooted random graphs

Svante Janson Department of Mathematics, Uppsala University Andrzej Ruciński Department of Discrete Mathematics, Adam Mickiewicz University

Optimization and Control Probability mathscidoc:1701.27001

Arkiv for Matematik, 49, (1), 79-96, 2009.5
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[37] The energy density in the planar Ising model

Clément Hongler Department of Mathematics, Columbia University Stanislav Smirnov Section de Mathématiques, Université de Genève

Dynamical Systems Probability mathscidoc:1701.11005

Acta Mathematica, 211, (2), 191-225, 2011.7
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[38] The Brownian map is the scaling limit of uniform random plane quadrangulations

Grégory Miermont Unité de mathématiques pures et appliquées, École Normale Supérieure de Lyon

Probability mathscidoc:1701.28002

Acta Mathematica, 210, (2), 319-401, 2011.5
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[39] Almost sure multifractal spectrum for the tip of an SLE curve

Fredrik Johansson Viklund Department of Mathematics, Columbia University Gregory F. Lawler Department of Mathematics and Department of Statistics, University of Chicago

Probability Spectral Theory and Operator Algebra mathscidoc:1701.28001

Acta Mathematica, 209, (2), 265-322, 2010.11
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[40] Random conformal weldings

Kari Astala Department of Mathematics and Statistics, University of Helsinki Antti Kupiainen Department of Mathematics and Statistics, University of Helsinki Eero Saksman Department of Mathematics and Statistics, University of Helsinki Peter Jones Department of Mathematics, Yale University

Analysis of PDEs Functional Analysis Probability mathscidoc:1701.03004

Acta Mathematica, 207, (2), 203-254, 2009.9
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[41] Random matrices: Universality of local eigenvalue statistics

Terence Tao Department of Mathematics, University of California, Los Angeles Van Vu Department of Mathematics, Rutgers

Number Theory Probability mathscidoc:1701.24001

Acta Mathematica, 206, (1), 127-204, 2009.6
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[42] Universality for generalized Wigner matrices with Bernoulli distribution

László Erdos Institute of Mathematics, University of Munich Horng-Tzer Yau Department of Mathematics,Harvard University Jun Yin Department of Mathematics,Harvard University

Probability mathscidoc:1608.28023

Journal of Combinatorics, 2, (1), 15-82, 2011
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[43] The local relaxation flow approach to universality of the local statistics for random matrices

Laszlo Erdos Institute of Mathematics, University of Munich Benjamin Schlein Department of Pure Mathematics and Mathematical Statistics,University of Cambridge Horng-Tzer Yau Department of Mathematics, Harvard University Jun Yin Department of Mathematics, Harvard University

Probability mathscidoc:1608.28022

Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 48, (1), 1-46, 2012
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[44] Rigidity of eigenvalues of generalized Wigner matrices

Laszlo Erdos Institute of Mathematics, University of Munich Horng-Tzer Yau Department of Mathematics, Harvard University Jun Yin Department of Mathematics, Harvard University

Probability mathscidoc:1608.28021

Advances in Mathematics, 229, (3), 1435-1515, 2011
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[45] Edge Universality of Correlation Matrices

Natesh S. Pillai Harvard University Jun Yin University of Wisconsin–Madison

Probability mathscidoc:1608.28020

Annals of Statistics, 40, (3), 1737-1763, 2012
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[46] Spectral Statistics of Erd{H o}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

Laszlo Erdos Institute of Mathematics, University of Munich Antti Knowles Department of Mathematics, Harvard University Horng-Tzer Yau Department of Mathematics, Harvard University Jun Yin Department of Mathematics, Harvard University

Probability mathscidoc:1608.28019

Communications in Mathematical Physics, 314, (3), 587-640, 2012
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[47] Bulk universality for generalized Wigner matrices

Laszlo Erdos University of Munich Horng-Tzer Yau Department of Mathematics, Harvard University Jun Yin Department of Mathematics, Harvard University

Probability mathscidoc:1608.28018

Probability Theory & Related Fields, 154, (1), 1-67, 2010
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[48] The local semicircle law for a general class of random matrices

Laszlo Erdos Institute of Science and Technology Austria Antti Knowles New York University Horng-Tzer Yau Harvard University Jun Yin University of Wisconsin-Madison

Probability mathscidoc:1608.28017

Electronic Journal of Probability, 18, (12), 2140-2154, 2013
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[49] Spectral statistics of Erdős–Rényi graphs I: Local semicircle law

Erdős, László University of Munich Knowles, Antti Harvard University Yau, Horng-Tzer Harvard University Jun Yin University of Wisconsin-Madison

Probability mathscidoc:1608.28016

Annals of Probability, 41, (3), 587-640, 2013
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[50] Eigenvector distribution of Wigner matrices

Antti Knowles Harvard University Jun Yin Harvard University

Probability mathscidoc:1608.28015

Probability Theory & Related Fields, 155, (3), 543-582, 2011
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[51] Delocalization and diffusion profile for random band matrices

Laszlo Erdos University of Munich Antti Knowles New York University Horng-Tzer Yau Harvard University Jun Yin University of Wisconsin-Madison

Probability mathscidoc:1608.28014

Communications in Mathematical Physics, 323, (1), 367-416, 2013
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[52] The isotropic semicircle law and deformation of Wigner matrices

Antti Knowles Harvard University Jun Yin University of Wisconsin-Madison

Probability mathscidoc:1608.28013

ommunications on Pure & Applied Mathematics, 66, (11), 1663–1749, 2013
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[53] Universality of Covariance Matrices

Natesh S. Pillai Harvard University Jun Yin University of Wisconsin

Probability mathscidoc:1608.28012

Annals of Applied Probability, 24, (3), 935-1001, 2011
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[54] Local circular law for random matrices

Paul Bourgade Harvard University Horng-Tzer Yau Harvard University Jun Yin University of Wisconsin-Madison

Probability mathscidoc:1608.28011

Probability Theory & Related Fields, 159, (3), 545-595, 2013
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[55] The local circular law II: the edge case

Paul Bourgade Harvard University Horng-Tzer Yau Harvard University Jun Yin University of Wisconsin-Madison

Probability mathscidoc:1608.28010

Probability Theory & Related Fields, 159, (3), 619-660, 2012
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[56] The Outliers of a Deformed Wigner Matrix

Antti Knowles Harvard University Jun Yin University of Wisconsin

Probability mathscidoc:1608.28009

Annals of Probability, 42, (5), 1980-2031, 2014
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[57] The Local Circular Law III: General Case

Jun Yin University of Wisconsin

Probability mathscidoc:1608.28008

Probability Theory & Related Fields, 160, (3), 679-732, 2012
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[58] A Necessary and Sufficient Condition for Edge Universality of Wigner matrices

Oon Lee Ji Department of Mathematical Sciences, KAIST. Jun Yin University of Wisconsin

Probability mathscidoc:1608.28007

Duke Mathematical Journal, 163, (1), 117-173, 2012
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[59] Isotropic local laws for sample covariance and generalized Wigner matrices

Alex Bloemendal Harvard University László Erdos IST, Austria Antti Knowles ETH Zürich Horng-Tzer Yau Harvard University Jun Yin University of Wisconsin

Probability mathscidoc:1608.28006

Electronic Journal of Probability, 19, (33), 1-53, 2014.3
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[60] On the principal components of sample covariance matrices

Alex Bloemendal Harvard University Antti Knowles ETH Zurich Horng-Tzer Yau Harvard University Jun Yin University of Wisconsin

Probability mathscidoc:1608.28005

Probability Theory and Related Fields, 164, (1), 459–552, 2016.2
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[61] Anisotropic local laws for random matrices

Antti Knowles ETH Zurich Jun Yin University of Wisconsin

Probability mathscidoc:1608.28004

2014.10
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[62] Fixed energy universality for generalized Wigner matrices

Paul Bourgade Cambridge University Laszlo Erdos Institute of Science and Technology Austria Hong-Tzer Yau Harvard University Jun Yin University of Wisconsin, Madison

Probability mathscidoc:1608.28003

Communications on Pure and Applied Mathematics, 69, (10), 1815–1881 , 2015
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[63] Universality for a class of random band matrices

Paul Bourgade New York University, Courant Institute Laszlo Erdos Institute of Science and Technology Austria Horng-Tzer Yau Harvard University Jun Yin University of Wisconsin, Madison

Probability mathscidoc:1608.28002

2016
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[64] Local circular law for the product of a deterministic matrix with a random matrix

Haokai Xi University of Wisconsin-Madison Fan Yang University of Wisconsin-Madison Jun Yin University of Wisconsin-Madison

Probability mathscidoc:1608.28001

2016
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