Probability

[1] ComNet: Combinational Neural Network for Object Detection in UAV-Borne Thermal Images

Minglei Li Xingke Zhao Jiasong Li Liangliang Nan

Information Theory Probability Statistics Theory and Methods Machine Learning Data Analysis Statistics Theory and Methods,Data Analysis mathscidoc:2106.19001

IEEE Transactions on Geoscience and Remote Sensing, 2020.10
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[2] 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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[3] Speed of random walks, isoperimetry and compression of finitely generated groups

Jérémie Brieussel Institut/Laboratoire Montpelliérain Alexander Grothendieck (IMAG) (UMR 5149), Université de Montpellier, 34090 Montpellier, France Tianyi Zheng Department of Mathematics, Stanford University, Stanford (Palo Alto) CA 94305

Group Theory and Lie Theory Metric Geometry Probability mathscidoc:2203.17002

Annals of Mathematics, 193, (1), 1-105, 2021.1
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[4] 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

Distinguished Paper Award in 2018

The Annals of Probability, 43, (4), 1594-1642, 2015
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[5] Global and local multiple SLEs for $\kappa\le 4$ and connection probabilities for level lines of GFF

Eveliina Peltola Geneva University Hao Wu Tsinghua Univeristy

Probability mathscidoc:1903.28001

Comm. Math. Phys. , 366, 2019.3
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[6] 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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[7] 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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[8] 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

Distinguished Paper Award in 2017

Probab. Theorey Relat. Fields, (167), 45-105, 2017.1
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[9] De Finetti theorems for braided parafermions

Kaifeng Bu Harvard University, Cambridge, MA, 02138, USA; Zhejiang University, Hangzhou, China Arthur Jaffe Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Harvard University, Cambridge, MA, 02138, USA; Tsinghua University, Beijing, China Jinsong Wu Harvard University, Cambridge, MA, 02138, USA; Harbin Institute of Technology, Harbin, China

Functional Analysis Mathematical Physics Probability Spectral Theory and Operator Algebra mathscidoc:2207.12005

Communications in Mathematical Physics, 373, 435–456, 2019.10
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[10] 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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[11] Passive Array Correlation-Based Imaging in a Random Waveguide

Habib Ammari D ́epartement de Math ́ematiques et Applications, ́Ecole Normale Sup ́erieure, 75230 Paris Cedex05, France Josselin Garnier Laboratoire de Probabilit ́es et Mod`eles Al ́eatoires & Laboratoire Jacques-Louis Lions, Universit ́eParis VII, 75205 Paris Cedex 13, France Wenjia Jing D ́epartement de Math ́ematiques et Applications, ́Ecole Normale Sup ́erieure, 75230 Paris Cedex05, France

Analysis of PDEs Probability mathscidoc:2206.03009

Multiscale Modeling & Simulation, 11, (2), 656-681, 2013.6
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[12] Equivalent descriptions of the Loewner energy

Yilin Wang Department of Mathematics, ETH, Rämistrasse 101, 8092 Zürich, Switzerland

Complex Variables and Complex Analysis Mathematical Physics Probability mathscidoc:2203.08010

Inventiones Mathematicae, 218, 573-621, 2019.4
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[13] 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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[14] 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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[15] Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No 1. Tsinghua Yuan, Beijing 100084, China Panagiotis E. Souganidis Department of Mathematics, The University of Chicago, 5734 S. University Ave., Chicago, IL 60637, USA Hung V. Tran Department of Mathematics, University of Wisconsin at Madison, 480 Lincoln Drive, Madison, WI 53706, USA

Analysis of PDEs Optimization and Control Probability mathscidoc:2206.03012

Discrete and Continuous Dynamical Systems - S, 11, (5), 915-939, 2018.10
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[16] 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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[17] Limiting distribution of the sample canonical correlation coefficients of high-dimensional random vectors

Fan Yang fyang75@wharton.upenn.edu

Probability Statistics Theory and Methods mathscidoc:2110.28004

2021.10
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[18] Corrector theory for elliptic equations with long-range correlated random potential

Guillaume Bal Department of Applied Physics & Applied Mathematics, Columbia University, New York, NY 10027 Josselin Garnier Laboratoire de Probabilit´es et Mod`eles Al´eatoires & Laboratoire Jacques-Louis Lions, Universit´e Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France Yu Gu Department of Applied Physics & Applied Mathematics, Columbia University, New York, NY 10027 Wenjia Jing Department of Applied Physics & Applied Mathematics, Columbia University, New York, NY 10027

Analysis of PDEs Probability mathscidoc:2206.03003

Asymptotic Analysis, 77, 123-145, 2012.5
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[19] The Parisi formula has a unique minimizer

Antonio Auffinger Northwestern University Wei-Kuo Chen University of Minnesota

Probability mathscidoc:1704.28001

Gold Award Paper in 2017

Communications in Mathematical Physics, 335, (3), 1429-1444, 2015
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[20] Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University, 10027 New York, USA. Wenjia Jing D´epartement de Math´ematiques et Applications, Ecole Normale Sup´erieure, 45 Rue d’Ulm, 75230 Paris Cedex 05, France

Analysis of PDEs Numerical Analysis and Scientific Computing Probability mathscidoc:2206.03008

ESAIM: Mathematical Modelling & Numerical Analysis, 48, 387–409, 2014.3
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[21] 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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[22] 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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[23] Proper Orthogonal Decomposition Method to Nonlinear Filtering Problems in Medium-High Dimension

Zhongjian Wang Department of Mathematics, The University of Hong Kong Xue Luo School of Mathematical Sciences, Beihang University (Shahe campus) Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University Zhiwen Zhang Department of Mathematics, The University of Hong Kong

Numerical Analysis and Scientific Computing Optimization and Control Probability mathscidoc:2004.25001

[ Download ] [ 2020-04-25 09:49:04 uploaded by Stephenyau ] [ 995 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] 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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[25] 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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[26] The smallest singular value of deformed random rectangular matrices

Fan Yang University of Wisconsin-Madison

Probability mathscidoc:1805.28003

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[27] 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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[28] 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

Best Paper Award in Applied Mathematics in 2018

Communications on Pure and Applied Mathematics, 69, (10), 1815–1881 , 2015
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[29] Sample canonical correlation coefficients of high-dimensional random vectors with finite rank correlations

Zongming Ma University of Pennsylvania Fan Yang University of Pennsylvania

Probability Statistics Theory and Methods mathscidoc:2110.28003

2021.10
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[30] 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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[31] 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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[32] 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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[33] Tracy-Widom distribution for the edge eigenvalues of Gram type random matrices

Xiucai Ding University of California, Davis Fan Yang University of Pennsylvania

Probability Statistics Theory and Methods mathscidoc:2111.28001

2021.11
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[34] 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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[35] Platform modelling and scheduling game with multiple intelligent cloud-computing pools for big data

Wanyang Dai Nanjing University

Dynamical Systems Optimization and Control Probability Statistics Theory and Methods,Data Analysis mathscidoc:2104.11001

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 24, (5), 506-552, 2018.9
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[36] 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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[37] 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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[38] Suboptimal Linear Estimation for Continuous-discrete Bilinear Systems

Xue Luo School of Mathematics and Systems Science, Beihang University, Beijing, P.R. China Xiuqiong Chen Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China

Numerical Analysis and Scientific Computing Optimization and Control Probability mathscidoc:1904.25007

Systems & Control Letters, 119, 92-100, 2018
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[39] 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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[40] 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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[41] 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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[42] 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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[43] Upper tails and independence polynomials in random graphs

Bhaswar B. Bhattacharya University of Pennsylvania Shirshendu Ganguly UC Berkeley Eyal Lubetzky New York University Yufei Zhao MIT

Combinatorics Probability mathscidoc:1904.06002

Advances in Mathematics, 319, 313-347, 2017
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[44] 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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[45] 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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[46] Random band matrices in the delocalized phase, III: Averaging fluctuations

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

Probability mathscidoc:1808.28001

2018.7
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[47] 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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[48] The suboptimal method via probabilists' Hermite polynomials to solve nonlinear filtering problems

Xue Luo School of Mathematics and Systems Science, Beihang University, Beijing, P.R. China Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China

Numerical Analysis and Scientific Computing Optimization and Control Probability mathscidoc:1904.25006

Automatica, 94, 9-17, 2018
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[49] An Lp theory of sparse graph convergence I: limits, sparse random graph models, and power law distributions

Christian Borgs Microsoft Research Jennifer T. Chayes Microsoft Research Henry Cohn Microsoft Research Yufei Zhao MIT

Combinatorics Probability mathscidoc:1904.06003

Transactions of the American Mathematical Society
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[50] 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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[51] 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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[52] 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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[53] 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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[54] 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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[55] 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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[56] 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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[57] 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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[58] 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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[59] 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

Distinguished Paper Award in 2018

Compositio Mathematica, 153, 2482-2533, 2017
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[60] Alternating Arm Exponents for the Critical Planar Ising Model

Hao Wu Yau Mathematical Sciences Center, Tsinghua University

Mathematical Physics Probability mathscidoc:1802.22002

Best Paper Award in 2018

The Annals of Probability, 2018.10
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[61] Hopf-Cole transformation via generalized Schrodinger bridge problem

Flavien Leger UCLA Wuchen Li UCLA

Differential Geometry Dynamical Systems Information Theory Probability mathscidoc:2004.10001

arXiv:1901.09051, 2019.1
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[62] 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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[63] Direct method for Yau filtering system with nonlinear observations

Ji Shi Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Zhiyu Yang Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China

Numerical Analysis and Scientific Computing Optimization and Control Probability mathscidoc:1904.25005

International Journal of Control, 91, (3), 678-687, 2018
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[64] Real-Time Solution of Time-Varying Yau Filtering Problems via Direct Method

Xiuqiong Chen Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Ji Shi Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China

Numerical Analysis and Scientific Computing Optimization and Control Probability mathscidoc:1904.25008

IEEE Transactions on Automatic Control, 64, (4), 1648-1654, 2019.4
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[65] 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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[66] A Unified System of FB-SDEs with Levy Jumps and Double Completely-S Skew Reflections

Wanyang Dai Nanjing University

Dynamical Systems Information Theory Probability mathscidoc:2103.11004

Communications in Mathematical Sciences, 16, (3), 659-704, 2018.4
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[67] 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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[68] 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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[69] 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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[70] Hypergeometric SLE: conformal Markov characterization and applications

Hao Wu Yau Mathematical Science Center

Probability mathscidoc:2003.28001

Comm. Math. Phys. , 374, 433-484, 2020.2
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[71] 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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[72] 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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[73] 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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[74] 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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[75] Frequency domain analysis of fluctuations of mRNA and protein copy numbers within a cell lineage: theory and experimental validation

Chen Jia Beijing Computational Science Research Center Ramon Grima University of Edinburgh

Mathematical Physics Probability Data Analysis, Bio-Statistics, Bio-Mathematics mathscidoc:2105.22001

Physical Review X, 11, 021032, 2021.5
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[76] 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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[77] 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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[78] Semigroups of stochastic gradient descent and online principle component analysis: properties and diffusion approximations.

YUANYUAN FENG LEI LI Jian-Guo Liu

Probability mathscidoc:1905.28001

Comm. Math. Sci., 16, (3), 777–789, 2018
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[79] New Classes of Finite Dimensional Filters with Non-Maximal Rank

Ji Shi Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Xiuqiong Chen Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Wenhui Dong Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China

Optimization and Control Probability mathscidoc:1904.27002

IEEE Control Systems Letters, 1, (2), 233-237, 2017.10
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[80] Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains

Zhen-Qing Chen University of Washington Masatoshi Fukushima Osaka University Steffen Rohde University of Washington

Probability mathscidoc:1904.28001

Trans. Amer. Math. Soc., 368, 4065-4114, 2016
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[81] 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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[82] Edge statistics of large dimensional deformed rectangular matrices

Xiucai Ding University of California, Davis Fan Yang University of Pennsylvania

Probability Statistics Theory and Methods mathscidoc:2111.28002

2021.11
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[83] 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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[84] Maximum independent sets on random regular graphs

Jian Ding University of Chicago Allan Sly University of California, Berkeley Nike Sun Stanford University

Probability mathscidoc:1911.43040

Gold Award Paper in 2020

Acta Mathematica, 217, (2), 263-340, 2016
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[85] 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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[86] Finite dimensional estimation algebras with state dimension 3 and rank 2, I--linear structure of wong matrix

Ji Shi Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China

Optimization and Control Probability mathscidoc:1904.27003

SIAM J. Control. Optim., 55, (6), 4227-4246, 2017
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[87] On the uniqueness of global multiple SLEs

Vincent Beffara Institut Fourier, CNRS & University Grenoble Alpes Eveliina Peltola Institute for Applied Mathematics, University of Bonn Hao Wu Yau Mathematical Sciences Center, Tsinghua University

Probability mathscidoc:2105.28001

The annals of probability, 49, (1), 400-434, 2021.3
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[88] 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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[89] Comparison of moments of Rademacher chaoses

Paata Ivanisvili Princeton University & University of California at Irvine Tomasz Tkocz Carnegie Mellon University

Probability mathscidoc:1912.43032

Arkiv for Matematik, 57, (1), 121-128, 2018
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[90] 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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[91] 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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[92] 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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[93] Stochastic Komatu-Loewner evolutions and BMD domain constant

Zhen-Qing Chen University of Washington Masatoshi Fukushima Osaka University

Probability mathscidoc:1904.28002

Stochastic Processes Appl., 128, 545-594, 2018
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[94] Universality in several-matrix models via approximate transport maps

Alessio Figalli ETH Z¨urich Alice Guionnet Universit´e de Lyon

Probability mathscidoc:1911.43037

Acta Mathematica, 217, (1), 81-176, 2016
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[95] The novel classes of finite dimensional filters with non-maximal rank estimation algebra on state dimension four and rank of one

Wenhui Dong Department of Mathematical Sciences, Tsinghua University Xiuqiong Chen Department of Mathematical Sciences, Tsinghua University; Yau Mathematical Sciences Center, Tsinghua University Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University

Optimization and Control Probability mathscidoc:2004.27001

[ Download ] [ 2020-04-25 06:26:57 uploaded by Wenwen ] [ 601 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[96] Delocalization and quantum diffusion of random band matrices in high dimensions I: Self-energy renormalization

Fan Yang University of Pennsylvania Horng-Tzer Yau Harvard University Jun Yin University of California, Los Angeles

Probability mathscidoc:2110.28001

2021.10
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[97] Some Finite Dimensional Filters derived from the Structure Theorem for Five-dimensional Estimation Algebras

Wen-Lin Chiou Department of Mathematics, Fu-Jen University, Taipei, Taiwan Shaopu Lin Department of Mathematics, Fu-Jen University, Taipei, Taiwan Stephen S.-T. Yau Department of Mathematical Sciences, Tsinghua University, Beijing, P.R. China

Optimization and Control Probability mathscidoc:1904.27001

Asian J. Math., 19, (5), 793-810, 2015
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[98] Ising model with Curie-Weiss perturbation

Federico Camia Jianping Jiang Charles M. Newman

Mathematical Physics Probability mathscidoc:2205.22006

Journal of Statistical Physics, 188, 2022.5
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[99] The Local Circular Law III: General Case

Jun Yin University of Wisconsin

Probability mathscidoc:1608.28008

Distinguished Paper Award in 2017

Probability Theory & Related Fields, 160, (3), 679-732, 2012
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[100] 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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[101] Martin boundary covers Floyd boundary

Ilya Gekhtman Department of Mathematics, Technion-Israeli Institute of Technology, 32000 Haifa, Israel Victor Gerasimov Departamento de Matemática, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, Caixa Postal 702, 30161-970 Brasil Leonid Potyagailo UFR de Mathématiques, Université de Lille, 59655 Villeneuve d’Ascq, France Wenyuan Yang Beijing International Center for Mathematical Research, Peking University, Beijing 100871, China

Dynamical Systems Geometric Analysis and Geometric Topology Group Theory and Lie Theory Probability mathscidoc:2203.11005

Inventiones Mathematicae, 223, 759-809, 2021.1
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[102] 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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[103] Delocalization and quantum diffusion of random band matrices in high dimensions II: T-expansion

Fan Yang University of Pennsylvania Horng-Tzer Yau Harvard University Jun Yin University of California, Los Angeles

Probability mathscidoc:2110.28002

2021.10
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[104] Almost sure multifractal spectrum of Schramm–Loewner evolution

Ewain Gwynne University of Chicago Jason Miller University of Cambridge Xin Sun University of Pennsylvania

Probability mathscidoc:2104.28002

Duke Math. J., 167, (6), 2018.4
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[105] Multipoint distribution of periodic TASEP

Jinho Baik University of Michigan Zhipeng Liu University of Kansas

Probability mathscidoc:2104.28001

J. Amer. Math. Soc., 32, 609-674, 2019
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[106] Sample canonical correlation coefficients of high-dimensional random vectors: local law and Tracy-Widom limit

Fan Yang University of Pennsylvania

Probability mathscidoc:2111.28003

Random Matrices: Theory and Applications, 2021.11
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[107] Exponential decay of correlations in the two-dimensional random field Ising model

Jian Ding University of Pennsylvania, Philadelphia, Pennsylvania, U.S.A. Jiaming Xia University of Pennsylvania, Philadelphia, Pennsylvania, U.S.A.

Probability mathscidoc:2203.28002

Inventiones Mathematicae, 224, (3), 999-1045, 2021.1
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[108] Corrector theory for MsFEM and HMM in random media

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University, New York 10027 Wenjia Jing Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75230 ParisCedex 05, France

Numerical Analysis and Scientific Computing Probability mathscidoc:2206.25009

Multiscale Modeling & Simulation, 9, (4), 1549-1587, 2011.12
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[109] Corrector theory for elliptic equations in random media with singular Green’s function. application to random boundaries

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University Wenjia Jing Department of Applied Physics and Applied Mathematics, Columbia University

Analysis of PDEs Probability mathscidoc:2206.03002

Communications in Mathematical Sciences, 9, (2), 383-411, 2010.12
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[110] The effect of free boundary conditions on the Ising model in high dimensions

Federico Camia Jianping Jiang Charles M. Newman

Mathematical Physics Probability mathscidoc:2205.28001

Probability Theory and Related Fields, 181, (1), 311–328, 2021.3
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[111] 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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[112] Exponential decay for the near-critical scaling limit of the planar Ising model

Federico Camia Division of Science, NYU Abu Dhabi, Saadiyat Island, Abu Dhabi, UAE Jianping Jiang NYU-ECNU Institute of Mathematical, Sciences at NYU Shanghai, 3663 Zhongshan Road North, Shanghai, 200062 P.R. CHINA Charles M. Newman Courant Institute, 251 Mercer St, New York, NY, 10012 USA

Mathematical Physics Probability mathscidoc:2203.22001

Communications on Pure And Applied Mathematics, 73, (7), 1371-1405, 2020.7
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[113] Homogenization and Corrector Theory for Linear Transport in Random Media

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University, New York NY, 10027 Wenjia Jing Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027, United States

Analysis of PDEs Probability mathscidoc:2206.03001

Discrete and Continuous Dynamical Systems, 28, (4), 1311-1343, 2010.12
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[114] A.s. convergence for infinite colour Pólya urns associated with random walks

Svante Janson Department of Mathematics, Uppsala University, Uppsala, Sweden

Probability mathscidoc:2203.28001

Arkiv for Matematik, 59, (1), 87-123, 2020.5
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