Spectral Theory and Operator Algebra

[1] Entropy, determinants, and L^2-torsion

Hanfeng Li Chongqing University, SUNY at Buffalo Andreas Thom TU Dresden

Dynamical Systems Spectral Theory and Operator Algebra mathscidoc:1704.02001

Distinguished Paper Award in 2018

J. Amer. Math. Soc., 27, (1), 239--292, 2014
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[2] Fusion bialgebras and Fourier analysis: Analytic obstructions for unitary categorification

Zhengwei Liu Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Sebastien Palcoux Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Category Theory Functional Analysis Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:2207.04003

Advances in Mathematics, 390, 107905, 2021.10
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[3] Spectral property of self-affine measures on Rn

Jing-Cheng Liu Hunan Normal University Jun Luo Chongqing University

Spectral Theory and Operator Algebra mathscidoc:1702.32001

Journal of Functional Analysis, 2017
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[4] Yang-Baxter relation planar algebras

Zhengwei Liu Harvard University, Cambridge, MA 02138

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22007

2016.4
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[5] 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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[6] Uniqueness of non-linear ground states for fractional Laplacians in $${\mathbb{R}}$$

Rupert L. Frank Department of Mathematics, Princeton University Enno Lenzmann Institute for Mathematical Sciences, University of Copenhagen

Mathematical Physics Spectral Theory and Operator Algebra mathscidoc:1701.22001

Acta Mathematica, 210, (2), 261-318, 2011.5
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[7] The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu Christopher Ryba

Category Theory Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.04005

2020.7
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[8] Reducibility of invertible tuples to the principal component in commutative Banach algebras

Raymond Mortini Département de Mathématiques et Institut Élie Cartan de Lorraine, UMR 7502, Université de Lorraine Rudolf Rupp Fakultät für Angewandte Mathematik, Physik und Allgemeinwissenschaften, TH-Nürnberg

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12009

Arkiv for Matematik, 1-26, 2014.12
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[9] Lifting shadings on symmetrically self-dual subfactor planar algebras

Zhengwei Liu Scott Morrison David Penneys

Category Theory Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.04002

Contemporary Mathematics, 747, 2020.7
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[10] 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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[11] Antisymmetric characters and Fourier duality

Zhengwei Liu Harvard University, Cambridge, USA Jinsong Wu IASM, Harbin Institute of Technology and Harvard University, Harbin, China

Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.22006

Communications in Mathematical Physics, 384, 77-108, 2021.4
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[12] Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths

Junjie YUE Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China Liping Zhang Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China Mei Lu Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Spectral Theory and Operator Algebra mathscidoc:1612.32001

2016.1
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[13] Unique Cartan decomposition for II_{1}factors arising from arbitrary actions of free groups

Sorin Popa Mathematics Department, University of California, Los Angeles Stefaan Vaes Department of Mathematics, KU Leuven

Functional Analysis Group Theory and Lie Theory Spectral Theory and Operator Algebra mathscidoc:1701.12005

Acta Mathematica, 212, (1), 141-198, 2012.6
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[14] 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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[15] Uncertainty principles for locally compact quantum groups

Chunlan Jiang Zhengwei Liu Jinsong Wu

Spectral Theory and Operator Algebra mathscidoc:1912.431049

Journal of Functional Analysis, 274, (8), 2399-2445, 2018.4
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[16] Perturbations of nuclear$C$*-algebras

Erik Christensen Department of Mathematical Sciences, University of Copenhagen Allan M. Sinclair School of Mathematics, University of Edinburgh Roger R. Smith Department of Mathematics, Texas A&M University Stuart A. White School of Mathematics and Statistics, University of Glasgow Wilhelm Winter Mathematisches Institut, Universität Münster

Spectral Theory and Operator Algebra mathscidoc:1701.32002

Acta Mathematica, 208, (1), 93-150, 2009.10
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[17] Duality and distance formulas in spaces defined by means of oscillation

Karl-Mikael Perfekt Centre for Mathematical Sciences, Lund University

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12024

Arkiv for Matematik, 51, (2), 345-361, 2011.6
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[18] Composed inclusions of A3 and A4 subfactors

Zhengwei Liu

Spectral Theory and Operator Algebra mathscidoc:1912.431047

Advances in Mathematics, 279, 307-371, 2015.7
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[19] Strict comparison and $$ \mathcal{Z} $$ -absorption of nuclear$C$^{∗}-algebras

Hiroki Matui Graduate School of Science, Chiba University Yasuhiko Sato Graduate School of Science, Kyoto University

Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:1701.29003

Acta Mathematica, 209, (1), 179-196, 2011.11
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[20] A Wozniakowski, and AM Jaffe, Quon 3D language for quantum information

Zhengwei Liu Harvard University, Vanderbilt University Alex Wozniakowski Harvard University Arthur M. Jaffe Harvard University

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:1705.22001

Distinguished Paper Award in 2017

PNAS, 114, (10), 2497-2502, 2017
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[21] Mappings onto multiplicative subsets of function algebras and spectral properties of their products

Takeshi Miura Department of Mathematics Faculty of Science, Niigata University Thomas Tonev Department of Mathematical Sciences, University of Montana

Spectral Theory and Operator Algebra mathscidoc:1701.32006

Arkiv for Matematik, 53, (2), 329-358, 2014.4
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[22] Markoff–Lagrange spectrum and extremal numbers

Damien Roy Département de Mathématiques, Université d’Ottawa

Spectral Theory and Operator Algebra mathscidoc:1701.32001

Acta Mathematica, 206, (2), 325-362, 2009.6
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[23] Calculation of local formal Fourier transforms

Adam Graham-Squire Department of Mathematics, High Point University

Spectral Theory and Operator Algebra mathscidoc:1701.01017

Arkiv for Matematik, 51, (1), 71-84, 2011.2
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[24] Approximate controllability for systems governed by nonlinear Volterra type equations

Tran Dinh Ke Valeri Obukhovskii Ngai-Ching Wong Jen-Chih Yao

Spectral Theory and Operator Algebra mathscidoc:1910.43667

Differential Equations and Dynamical Systems, 20, (1), 35-52, 2012.1
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[25] Generalized invertibility of operator matrices

Dragan S. Djordjević Faculty of Sciences and Mathematics, University of Niš Milica Z. Kolundžija Faculty of Sciences and Mathematics, University of Niš

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12020

Arkiv for Matematik, 50, (2), 259-267, 2010.6
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