Dynamical Systems

[1] Quantifying pluripotency landscape of cell differentiation from scRNA-seq data by continuous birth-death process

Jifan Shi University of Tokyo Tiejun Li Peking University Luonan Chen Chinese Academy of Sciences Kazuyuki Aihara University of Tokyo

Dynamical Systems mathscidoc:1912.11001

PLoS Computational Biology, 15, (11), e1007488, 2019.11
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[2] Fourier coefficients of $\times p$-invariant measures.

Huichi Huang Chongqing University

Dynamical Systems mathscidoc:1908.10011

J. Mod. Dyn., 11, 551-562, 2017
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[3] Mean ergodic theorem for amenable discrete quantum groups and a Wiener-type theorem for compact metrizable groups.

Huichi Huang Chongqing University

Classical Analysis and ODEs Dynamical Systems Functional Analysis mathscidoc:1908.05001

Anal. PDE, 9, (4), 893-906, 2016
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[4] Ergodic invariant states and irreducible representations of crossed product $C^∗$-algebras.

Huichi Huang Chongqing University Jianchao Wu PSU

Dynamical Systems Functional Analysis mathscidoc:1908.12003

J. Operator Theory, 78, (1), 159-172, 2017
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[5] The existence of Zariski dense orbits for endomorphisms of projective surfaces (with an appendix in collaboration with Thomas Tucker)

Junyi Xie

Dynamical Systems mathscidoc:1908.01009

2019
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[6] The Dynamical Mordell-Lang Conjecture for skew-linear self-maps. Appendix by Michael Wibmer

Dragos Ghioca Junyi Xie

Dynamical Systems mathscidoc:1908.01006

2018
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[7] On degrees of birational mappings

Serge Cantat Junyi Xie

Dynamical Systems mathscidoc:1908.11002

2018
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[8] Algebraic dynamics of skew-linear self-maps

Dragos Ghioca Junyi Xie

Dynamical Systems mathscidoc:1908.01005

Proc. Amer. Math. Soc., 2018
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[9] Algebraic dynamics of the lifts of Frobenius

Junyi Xie IRMAR,CNRS

Dynamical Systems mathscidoc:1908.01004

Algebra & Number Theory, 2018
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[10] The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane

Junyi Xie IRMAR,CNRS

Dynamical Systems mathscidoc:1908.01003

Compositio Mathematica., 2017
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[11] Algebraic actions of discrete groups: the p-adic method

Serge Cantat IRMAR,CNRS Junyi Xie IRMAR,CNRS

Dynamical Systems mathscidoc:1908.01002

Acta Mathematica, 220, (2), 239 – 295, 2018
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[12] The dynamical Mordell-Lang conjecture for polynomial endomorphisms of the affine plane

Junyi Xie IRMAR, CNRS

Dynamical Systems mathscidoc:1908.01001

Astérisque, 2017
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[13] Dynamical Mordell-Lang conjecture for birational polynomial morphisms on A^2

Junyi Xie IRMAR, CNRS

Dynamical Systems mathscidoc:1908.11001

Math. Ann., 2014
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[14] Noncollision singularities in a planar two-center-two-body problem

Jinxin Xue Tsinghua University Dmitry Dolgopyat University of Maryland

Dynamical Systems mathscidoc:1907.11004

Communications in Mathematical Physics, 345, (3), 797-879, 2016.8
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[15] Lyapunov exponents and correlation decay for random perturbations of some prototypical 2D maps

Alex Blumenthal University of Maryland Jinxin Xue Tsinghua University Lai-Sang Young New York University

Dynamical Systems mathscidoc:1907.11003

Communications in Mathematical Physics, 359, (1), 347-373, 2018
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[16] Order property and modulus of continuity of weak KAM solutions

Chong-Qing Cheng Nanjing University Jinxin Xue Tsinghua University

Dynamical Systems mathscidoc:1907.11002

Calculus of variation and PDEs, 57, (2), 65, 2018
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[17] Building Anosov flows on 3-manifolds

Francois Beguin Christian Bonatti Bin Yu

Dynamical Systems mathscidoc:1907.11001

Geometry and Topology, 21, (3), 1837-1930, 2017.5
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[18] Dimensions in infinite iterated function systems consisting of bi-Lipschitz mapping

Chih-Yung Chu Northwest A&F University Sze-Man Ngai Georgia Southern University and Hunan Normal University

Dynamical Systems mathscidoc:1809.11001

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[19] Semiclassical measures on hyperbolic surfaces have full support

Semyon Dyatlov University of California, Berkeley and Massachusetts Institute of Technology Long Jin Yau Mathematical Science Center, Tsinghua University

Analysis of PDEs Dynamical Systems mathscidoc:1808.03001

Acta Mathematica, 220, (2), 297 – 339, 2018
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[20] Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses

Guan Huang YMSC,Tsinghua University Vadim Kaloshin University of Maryland, College Park Alfonso Sorrentino Università degli Studi di Roma “Tor Vergata”

Dynamical Systems mathscidoc:1804.11002

GAFA, 28, (2), 334–392, 2018.4
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[21] On the marked length spectrum of generic strictly convex billiard tables. (English summary)

Guan Huang Yau Mathematical Sciences Center, Tsinghua University Vadim Kaloshin University of Maryland, College Park Alfonso Sorrentino Università degli Studi di Roma

Dynamical Systems mathscidoc:1804.11001

Duke Mathematical Journal, 167, (1), 175-209, 2018
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[22] Intermittent behaviors in weakly coupled map lattices

Tiexiang Li Southeast University Wen-Wei Lin National Chiao Tung University Yiqian Wang Nanjing University Shing-Tung Yau Harvard University

Dynamical Systems mathscidoc:1711.11001

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[23] Dynamics around the double resonance

Chongqing Cheng Nanjing University

Dynamical Systems mathscidoc:1705.11001

Cambridge J. Mathematics, 5, (2), 153-228, 2017
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[24] 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

J. Amer. Math. Soc., 27, (1), 239--292, 2014
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[25] Uniform positivity and continuity of Lyapunov exponents for a class of C2 quasiperiodic Schrödinger cocycles

Yiqian Wang Nanjing University Zhenghe Zhang Rice University

Dynamical Systems mathscidoc:1703.11004

Journal of Functional Analysis, 268, (9), 2525-2585 , 2015.9
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[26] Inverse problems, non-roundness and flat pieces of the effective burning velocity from an inviscid quadratic hamilton-jacobi model

Wenjia Jing Tsinghua University Hung V. Tran University of Wisconsin at Madison Yifeng Yu University of California at Irvine

Dynamical Systems mathscidoc:1703.11003

Nonlinearity, 2017
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[27] Lyapunov exponents for random perturbations of some area-preserving maps including the standard map

Alex Blumenthal University of Maryland-College Park Jinxin Xue University of Chicago Lai-Sang Young Courant institute of mathematical sciences, New York University

Dynamical Systems mathscidoc:1703.11002

Annals of Mathematics, 185, (1), 285-310, 2017.1
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[28] Quasi-periodic almost-collision orbits in the spatial three-body problem

Lei Zhao Nankai University

Dynamical Systems mathscidoc:1703.11001

2015.12
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[29] Dynamics of a competing two-strain SIS epidemic model on complex networks with a saturating incidence rate

Chun-Hsien Li National Kaohsiung Normal University

Dynamical Systems mathscidoc:1702.11002

Journal of Physics A: Mathematical and Theoretical, 49, 2016
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[30] Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate

Chun-Hsien Li National Kaohsiung Normal University

Dynamical Systems mathscidoc:1702.11001

Physica A, 427, 2015
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[31] 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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[32] Irregular sets of two-sided Birkhoff averages and hyperbolic sets

Luis Barreira Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa Jinjun Li School of Mathematics and Statistics, Minnan Normal University Claudia Valls Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa

Dynamical Systems mathscidoc:1701.11013

Arkiv for Matematik, 54, (1), 13-30, 2013.9
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[33] On Möbius orthogonality for interval maps of zero entropy and orientation-preserving circle homeomorphisms

Davit Karagulyan Department of Mathematics, KTH Royal Institute of Technology

Dynamical Systems mathscidoc:1701.11012

Arkiv for Matematik, 53, (2), 317-327, 2013.12
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[34] New partially hyperbolic dynamical systems I

Andrey Gogolev Department of Mathematical Sciences, Binghamton University Pedro Ontaneda Department of Mathematical Sciences, Binghamton University Federico Rodriguez Hertz Mathematics Department, Pennsylvania State University

Dynamical Systems mathscidoc:1701.11011

Acta Mathematica, 215, (2), 363-393, 2014.5
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[35] Mixing properties of commuting nilmanifold automorphisms

Alexander Gorodnik School of Mathematics, University of Bristol Ralf Spatzier Department of Mathematics, University of Michigan

Dynamical Systems mathscidoc:1701.11010

Acta Mathematica, 215, (1), 127-159, 2013.5
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[36] Global theory of one-frequency Schrödinger operators

Artur Avila CNRS, IMJ-PRG, UMR 7586, Université Paris Diderot, Sorbonne Paris Cité, Sorbonnes Universités

Dynamical Systems mathscidoc:1701.11009

Acta Mathematica, 215, (1), 1-54, 2013.4
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[37] Sharpness of Rickman’s Picard theorem in all dimensions

David Drasin Department of Mathematics, Purdue University Pekka Pankka Department of Mathematics and Statistics, P.O. Box 68, (Gustaf Hällströmin katu 2b), University of Helsinki, Finland

Dynamical Systems mathscidoc:1701.11008

Acta Mathematica, 214, (2), 209-306, 2013.4
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[38] Existence of knotted vortex tubes in steady Euler flows

Alberto Enciso Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas Daniel Peralta-Salas Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas

Dynamical Systems mathscidoc:1701.11007

Acta Mathematica, 214, (1), 61-134, 2012.11
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[39] Constructing entire functions by quasiconformal folding

Christopher J. Bishop Mathematics Department, Stony Brook University

Dynamical Systems mathscidoc:1701.11006

Acta Mathematica, 214, (1), 1-60, 2013.5
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[40] 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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[41] Correction of figure in “On Landau damping”

Clément Mouhot DPMMS, Centre for Mathematical Sciences, University of Cambridge Cédric Villani Institut Henri Poincaré & Université de Lyon, Institut Camille Jordan, Université Claude Bernard

Dynamical Systems Functional Analysis mathscidoc:1701.11004

Acta Mathematica, 207, (2), 391-391, 2011.12
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[42] On Landau damping

Clément Mouhot University of Cambridge, DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, UK Cédric Villani Institut Henri Poincaré & Université de Lyon, Institut Camille Jordan, Université Claude Bernard, 43 Boulevard du 11 novembre 1918, Villeurbanne Cedex, France

Dynamical Systems Functional Analysis mathscidoc:1701.11003

Acta Mathematica, 207, (1), 29-201, 2009.12
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[43] Dimension of quasicircles

Stanislav Smirnov Section de Mathématiques, Université de Genève

Dynamical Systems mathscidoc:1701.11002

Acta Mathematica, 205, (1), 189-197, 2008.10
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[44] Differentiability of the Lq-spectrum and Multifractal decomposition by using infinite graph-directed IFSs

Guotai Deng Central China Normal University Sze-Man Ngai Hunan Normal University and Georgia Southern University

Dynamical Systems mathscidoc:1701.11001

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[45] Regular dependence of the Peierls barriers on perturbations

Qinbo Chen Nanjing University Chong-Qing Cheng Nanjing University

Dynamical Systems mathscidoc:1612.11001

Journal of Differential Equations, 262, (9), 4700-4723, 2017.5
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[46] On spatial entropy of multi-dimensional symbolic dynamical systems

Wen-Guei Hu Sichuan University Song-Sun Lin National Chiao Tung University

Dynamical Systems mathscidoc:1609.11004

Discrete and Continuous Dynamical systems -A, 36, 3705-3718, 2016
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[47] Spatial chaos of Wang tiles with two symbols

Jin-Yu Chen National Chiao Tung University Yu-Jie Chen National Chiao Tung University Wen-Guei Hu Sichuan University Song-Sun Lin National Chiao Tung University

Dynamical Systems mathscidoc:1609.11003

Journal of Mathematical Physics, 57, 637-658, 2015
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[48] Nonemptiness problems of Wang tiles with three colors

Hung-Hsun Chen National Chiao Tung University Wen-Guei Hu National Chiao Tung University De-Jan Lai National Chiao Tung University Song-Sun Lin National Chiao Tung University

Dynamical Systems mathscidoc:1609.11002

Theoretical Computer Science, 547, 34-45, 2014
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[49] Zeta functions for two-dimensional shifts of finite type

Jung-Chao Ban National Hualien University of Education Wen-Guei Hu National Chiao Tung University Song-Sun Lin National Chiao Tung University Yin-Heng Lin National Central University

Dynamical Systems mathscidoc:1609.11001

Memoirs of the American Mathematical Society, 221, (1037), 2013
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[50] Ballistic Orbits and Front Speed Enhancement for ABC Flows, KAM and non-KAM solutions, front speed enhancement

Tyler McMillen California State University at Fullerton Jack Xin University of California, Irvine Yifeng Yu University of California, Irvine Andrej Zlatoš University of Wisconsin, Madison

Dynamical Systems mathscidoc:1608.11002

arXiv, 15, (3), 2016.6
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[51] Periodic orbits of the ABC flow with $A=B=C=1$

Jack Xin University of California at Irvine Yifeng Yu University of California at Irvine Andrej Zlato University of Wisconsin–Madison

Dynamical Systems mathscidoc:1608.11001

ArXiv, 2016.1
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