Dynamical Systems

[1] A dichotomy on the self-similarity of graph-directed attractors

Kenneth J. Falconer University of St-Andrews, Scotland, UK Jiaxin Hu Department of Mathematical Sciences, Tsinghua University, Beijing, China Junda Zhang Department of Mathematical Sciences, Tsinghua University, Beijing, China

Dynamical Systems mathscidoc:2208.11001

2022.8
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[2] Continuity Scaling: A Rigorous Framework for Detecting and Quantifying Causality Accurately

Xiong Ying Fudan University Si-Yang Leng Fudan University Huan-Fei Ma Soochow University Qing Nie University of California, Irvine Ying-Cheng Lai Arizona State University Wei Lin Fudan University

Dynamical Systems Data Analysis, Bio-Statistics, Bio-Mathematics Data Analysis mathscidoc:2207.11002

RESEARCH, 2022, 9870149, 2022.5
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[3] Levy-Khintchin Theorem for best simultaneous Diophantine approximations

Yitwah Cheung Nicolas Chevallier

Dynamical Systems Number Theory mathscidoc:2207.11001

Annales Scientifiques de l'Ecole Normale Superieure
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[4] Effective fronts of polygon shapes in two dimensions

Wenjia Jing Hung V. Tran Yifeng Yu

Analysis of PDEs Dynamical Systems mathscidoc:2206.03020

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[5] Effective Fronts of Polytope Shapes

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, P. R. China Hung V. Tran Dept. of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A. Yifeng Yu Dept. of Mathematics, University of California, Irvine, CA 92697, U.S.A.

Analysis of PDEs Dynamical Systems mathscidoc:2206.03016

Minimax Theory and its Applications, 5, (2), 347-360, 2020.9
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[6] Disjointness of M\"{o}bius from asymptotically periodic functions

Fei Wei Yau Mathematical Sciences Center, Tsinghua University

Dynamical Systems Functional Analysis Number Theory mathscidoc:2205.11014

Pure and Applied Mathematics Quarterly, 2022.1
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[7] M\"{o}bius disjointness for a class of exponential functions

Weichen Gu Department of Mathematics, University of New Hampshire, Durham, NH 03824, USA --and--Academy of Mathematics and Systems Science, Chinese Academy of Sciences Fei Wei Yau Mathematical Sciences Center, Tsinghua University

Dynamical Systems Number Theory mathscidoc:2205.11013

The Quarterly Journal of Mathematics, 2022.3
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[8] Anqie entropy and arithmetic compactification of natural numbers

Fei Wei Yau Mathematical Sciences Center, Tsinghua University

Dynamical Systems Functional Analysis mathscidoc:2205.11012

Banach Journal of Mathematical Analysis, 16, (1), 11, 2021.11
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[9] An averaging theorem for nonlinear schro ̈dinger equations with small nonlinearities

Guan HUANG YMSC,Tsinghua University

Dynamical Systems mathscidoc:2205.11011

2013.7
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[10] Time-averaging for weakly nonlinear cgl equations with arbitrary potentials

Guan HUANG YMSC,Tsinghua University Sergei KUKSIN Universite PARIS VII Alberto Maiocchi Universite PARIS VII

Dynamical Systems mathscidoc:2205.11010

Fields Institute Communica- tions, 75, 323-349, 2015.3
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[11] Long-time dynamics of resonant weakly nonlinear cgl equations

Guan HUANG YMSC,Tsinghua University

Dynamical Systems mathscidoc:2205.11009

JDDE, 28, (2), 375-387, 2016.3
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[12] On long time dynamics of perturbed kdv equations

Guan HUANG YMSC,Tsinghua University

Dynamical Systems mathscidoc:2205.11008

JCDS, 21, (3), 379-400, 2014.3
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[13] An Averaging Theorem for Perturbed KdV Equation

Guan HUANG YMSC,Tsinghua University

Dynamical Systems mathscidoc:2205.11007

Nonlinearity, 26, 1599-1621, 2013.2
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[14] KdV equation under periodic boundary conditions and its perturbations

Guan HUANG YMSC,Tsinghua University Sergei Kuksin University Paris VII

Dynamical Systems mathscidoc:2205.11006

Nonlinearity, 27, (9), R61-R88, 2015.4
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[15] On averaging and mixing for stochastic pdes

Guan HUANG YMSC,Tsinghua University Sergei Kuksin Universite PARIS VII

Dynamical Systems mathscidoc:2205.11005

2022.4
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[16] On energy transferring in a periodic pendu- lum lattice with analytic weak couplings

Guan HUANG YMSC,Tsinghua University

Dynamical Systems mathscidoc:2205.11004

Ann. Henri Poincar ́e , 18, (6), 2087-2121, 2017.3
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[17] On the energy transfer to high frequencies in the damped/driven nonlinear schro ̈dinger equation

Guan HUANG YMSC,Tsinghua University Sergei Kuksin Universite PARIS VII

Dynamical Systems mathscidoc:2205.11003

Stoch PDE: Anal Comp, 2021.1
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[18] On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables

Guan HUANG YMSC,Tsinghua University Vadim Kaloshin University of Maryland, College Park

Dynamical Systems mathscidoc:2205.11002

Mosc. Math. J., 19, (2), 307-327, 2019.1
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[19] On the integrability of strictly convex billiard tables with boundaries close to ellipses with small eccentricities

Guan HUANG

Dynamical Systems mathscidoc:2205.11001

Acta Math Sinica, 2022.1
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[20] Revealing hidden dynamics from time-series data by ODENet

Pipi Hu Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Wuyue Yang Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yi Zhu Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Liu Hong School of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China

Dynamical Systems mathscidoc:2204.11001

2020.10
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[21] 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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[22] Virtual homological spectral radii for automorphisms of surfaces

Yi Liu International Center for Mathematical Research (BICMR), Beijing (Peking) University, Beijing, PEOPLES REPUBLIC OF CHINA

Dynamical Systems Geometric Analysis and Geometric Topology mathscidoc:2203.11004

Journal of the Americal Mathematical Society, 33, (4), 1167-1227, 2020.10
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[23] Exponential mixing property for automorphisms of compact Kähler manifolds

Hao Wu Department of Mathematics, National University of Singapore

Complex Variables and Complex Analysis Dynamical Systems mathscidoc:2203.08005

Acta Mathematica, 59, (1), 213-227, 2021.5
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[24] Topology change of level sets in Morse theory

Andreas Knauf Department of Mathematics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany Nikolay Martynchuk Department of Mathematics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany; and Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia

Dynamical Systems Algebraic Topology and General Topology mathscidoc:2203.11003

Arkiv for Matematik, 58, (2), 333-356, 2020.11
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[25] A transcendental dynamical degree

Jason P. Bell Department of Pure Mathematics, University of Waterloo, Ontario, Canada Jeffrey Diller Department of Mathematics, University of Notre Dame, Indiana, U.S.A. Mattias Jonsson Department of Mathematics, University of Michigan, Ann Arbor, Mich., U.S.A.

Complex Variables and Complex Analysis Dynamical Systems Number Theory Algebraic Geometry mathscidoc:2203.08001

Acta Mathematica, 225, (2), 193-225, 2020.12
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