Mathematics

[201] Non-Commutative R´enyi entropic uncertainty principles

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, MA, 02138, USA Jinsong Wu Institute of Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Spectral Theory and Operator Algebra mathscidoc:2207.32002

Science China Mathematics, 63, 2287–2298, 2020.4
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[202] Existence of Solutions to Mean Field Equations on Graphs

An Huang Department of Mathematics, Brandies University, Waltham, MA, USA Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, China Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, USA

Analysis of PDEs mathscidoc:2207.03007

Communications in Mathematical Physics, 377, 613–621, 2020.2
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[203] 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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[204] Path complexes and their homologies

A. A. Grigor’yan Department of Mathematics, University of Bielefeld, 33613, Bielefeld, Germany; Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, P.R. China Yu. V. Muranov Faculty of Mathematics and Computer Sciences, University of Warmia and Mazury, Olsztyn, Poland Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

TBD mathscidoc:2207.43007

Journal of Mathematical Sciences, 248, (5), 564–599, 2020.6
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[205] Ultracontractivity and Functional Inequalities on Infinite Graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Shuang Liu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Hongye Song Department of Mathematics, Renmin University of China, Beijing 100872, China; Beijing International Studies University, Beijing 100024, China

Differential Geometry Functional Analysis mathscidoc:2207.10006

Discrete & Computational Geometry, 61, 198–211, 2018.6
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[206] Blow-up problems for nonlinear parabolic equations on locally finite graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs mathscidoc:2207.03006

Acta Mathematica Scientia, 38, (3), 843-856, 2018.5
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[207] Harnack and mean value inequalities on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Hongye Song School of General Education, Beijing International Studies University, Beijing 100024, China; Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs Differential Geometry mathscidoc:2207.03005

Acta Mathematica Scientia, 38, (6), 1751-1758, 2018.11
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[208] Log-Sobolev Inequalities on Graphs with Positive Curvature

Yong Lin Department of Mathematics, Renmin University of China Shuang Liu Department of Mathematics, Renmin University of China Hongye Song Department of Mathematics, Renmin University of China; Beijing International Studies University

Analysis of PDEs mathscidoc:2207.03004

Mathematical Physics and Computer Simulation, 20, (3), 99-110, 2017.9
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[209] Equivalent Properties for CD Inequalities on Graphs with Unbounded Laplacians

Chao Gong School of Information, Renmin University of China, Beijing 100872, China Yong Lin 1School of Information, Renmin University of China, Beijing 100872, China.

Combinatorics Differential Geometry mathscidoc:2207.06003

Chinese Annals of Mathematics, Series B, 38, 1059–1070, 2017.9
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[210] On-diagonal lower estimate of heat kernels on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, PR China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, PR China

Analysis of PDEs Combinatorics mathscidoc:2207.03003

Journal of Mathematical Analysis and Applications, 456, (2), 1040-1048, 2017.12
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[211] Existence of positive solutions to some nonlinear equations on locally finite graphs

Alexander Grigor’yan Department of Mathematics, University of Bielefeld, Bielefeld, 33501, Germany; School of Mathematical Sciences and Laboratory of Pure Mathematics and Combinatorics, Nankai University, Tianjin, 300071, China Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, China YunYan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03002

Science China Mathematics, 60, 1311–1324, 2017.4
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[212] A Gradient Estimate for Positive Functions on Graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China Shuang Liu Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Differential Geometry mathscidoc:2207.10005

The Journal of Geometric Analysis, 27, 1667–1679, 2016.9
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[213] Kazdan-Warner equation on graph

Alexander Grigor’yan Department of Mathematics, University of Bielefeld, 33501, Bielefeld, Germany Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Analysis of PDEs mathscidoc:2207.03001

Calculus of Variations and Partial Differential Equations, 55, (92), 2016.7
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[214] Global gradient estimate on graph and its applications

Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, P. R. China Shuang Liu Department of Mathematics, Renmin University of China, Beijing, 100872, P. R. China Yun Yan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, P. R. China

Differential Geometry mathscidoc:2207.10004

Acta Mathematica Sinica, English Series, 32, 1350–1356, 2016.10
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[215] Multifractality and Laplace spectrum of horizontal visibility graphs constructed from fractional Brownian motions

Zu-Guo Yu School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, People’s Republic of China; School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane Q4001, Australia Huan Zhang School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, People’s Republic of China Da-Wen Huang School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, People’s Republic of China Yong Lin Department of Mathematics, School of Information, Remin University of China, Beijing 100872, People’s Republic of China Vo Anh School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane Q4001, Australia

arXiv subject: Statistical Mechanics (cond-mat.stat-mech) mathscidoc:2207.48001

Journal of Statistical Mechanics: Theory and Experiment, 2016, 2016.3
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[216] Quantum tunneling on graphs

Yong Lin Department of Mathematics, Information School, Renmin University of China, Beijing, People’s Republic of China Gábor Lippner Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

Combinatorics Mathematical Physics mathscidoc:2207.06002

Communications in Mathematical Physics, 311, 113–132, 2012.2
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[217] Ricci curvature of graphs

Yong Lin Renmin University, Department of Mathematics, Beijing 100872, China Linyuan Lu University of South Carolina, Department of Mathematics, Columbia, SC 29208, USA Shing-Tung Yau Harvard University, Department of Mathematics, Cambridge, MA 02138, USA

Combinatorics mathscidoc:2207.06001

Tohoku Mathematical Journal, 63, (4), 605-627, 2011.10
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[218] Lipschitz property of harmonic function on graphs

Yong Lin Department of Mathematics, Information School, Renmin University of China, Beijing, 100872, PR China Lifeng Xi Institute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang, 315100, PR China

TBD mathscidoc:2207.43006

Journal of Mathematical Analysis and Applications, 366, (2), 673-678, 2010.6
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[219] Maximal operators and Fourier transforms of self-similar measures

Yong Lin Department of Mathematics, School of Information, Renmin University of China, Beijing 100872, China Huo-Jun Ruan Department of Mathematics, Zhejiang University, Hangzhou 310027, China

TBD mathscidoc:2207.43005

Chaos, Solitons & Fractals, 27, (1), 121-126, 2006.1
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[220] Spaces of Lipschitz type on metric spaces and their applications

Dachun Yang Department of Mathematics, Beijing Normal University, Beijing 100875, People’s Republic of China Yong Lin Department of Mathematics, Information School, Renmin (People) University of China, Beijing 100872, People’s Republic of China

Functional Analysis mathscidoc:2207.12004

Proceedings of the Edinburgh Mathematical Society, 47, (3), 709-752, 2004.11
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[221] Whitney's critical set in fractal

Yong Lin Information School, Renmin University of China, Beijing 100872, PR China Xi Lifeng Institute of Mathematics, Zhejiang Wanli University, Ningbo 315101, PR China

TBD mathscidoc:2207.43004

Chaos, Solitons & Fractals, 14, (7), 995-1006, 2002.10
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[222] Menger curvature and C^1 regularity of fractals

Yong Lin Department of Mathematics, Renmin University of China, Information School, Beijing, 100872, China Pertti Mattila Department of Mathematics, University of Jyväskylä, P.O. Box 35, FIN-40351 Jyväskylä, Finland

TBD mathscidoc:2207.43003

Proceeding of American Mathematics Society, 129, (6), 1755-1762, 2000.10
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[223] Quantum trace map for 3-manifolds and a 'length conjecture'

Prarit Agarwal Queen Mary University of London, Mile End Road, London E1 4NS, UK; Elaitra Ltd Dongmin Gang Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, Seoul 08826, Korea; Asia Pacific Center for Theoretical Physics (APCTP), Pohang 37673, Korea Sangmin Lee College of Liberal Studies, Seoul National University, Seoul 08826, Korea; Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, Seoul 08826, Korea Mauricio Andrés Romo Jorquera Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

Geometric Analysis and Geometric Topology arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.15001

arXiv, 2022.3
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[224] A-branes, foliations and localization

Sibasish Banerjee Weyertal 86-90, Department of Mathematics, University of Cologne, 50679, Cologne, Germany; Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany Pietro Longhi Institute for Theoretical Physics, ETH Zurich, 8093, Zurich, Switzerland Mauricio Andrés Romo Jorquera Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

Symplectic Geometry Algebraic Geometry arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.34001

arXiv, 2022.1
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[225] Hybrid models for homological projective duals and noncommutative resolutions

Jirui Guo Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Mauricio Andrés Romo Jorquera Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

Algebraic Geometry arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.45002

arXiv, 2021.12
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