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Computation of Lyapunov exponents of matrix products
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2025
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Aihua Fan
Evgeny Verbitskiy
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$p$-adic rational maps having empty Fatou set
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2024
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Aihua Fan
Shilei Fan
Yahia Mwanis
Yuefei Wang
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Old and new results on the Furstenberg sets
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2023
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Aihua Fan
Hervé Queffélec
Martine Quffélec
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Multifractal analysis of generalized Thue-Morse trigonometric polynomials
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2023
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Aihua Fan
Jörg Schmeling
Weixiao Shen
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The Furstenberg set and its random version
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2022
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Aihua Fan
Hervé Queffélec
Martine Queffélec
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The Furstenberg set and its random version
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2022
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Aihua Fan
Hervé Queffélec
Martine Queffélec
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Bohr chaoticity of topological dynamical systems
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2022
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Aihua Fan
Shilei Fan
Valery V. Ryzhikov
Weixiao Shen
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Trigonometric multiplicative chaos and applications to random distributions
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2022
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Aihua Fan
Yves Meyer
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A topological version of Furstenberg-Kesten theorem
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2022
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Aihua Fan
Meng Wu
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Multifractal Analysis of generalized Thue-Morse trigonometric polynomials
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2022
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Aihua Fan
Jörg Schmeling
Weixiao Shen
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On μ-Dvoretzky random covering of the circle
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2021
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Aihua Fan
Davit Karagulyan
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Bohr chaoticity of principal algebraic actions and Riesz product measures
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2021
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Aihua Fan
Klaus Schmidt
Evgeny Verbitskiy
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Trigonometric multiplicative chaos and Application to random distributions
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2021
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Aihua Fan
Yve Meyer
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The Furstenberg set and its random version
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2021
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Aihua Fan
Hervé Queffélec
Martine Queffélec
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Bohr chaoticity of topological dynamical systems
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2021
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Aihua Fan
Shilei Fan
Valery V. Ryzhikov
Weixiao Shen
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Multifractal analysis of weighted ergodic averages
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2020
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Aihua Fan
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L^\infty -estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization
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2020
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Aihua Fan
Joerg Schmeling
Weixiao Shen
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Multifractal analysis of weighted ergodic averages
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2020
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Aihua Fan
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$\boldsymbol{p}$-adic rational dynamical systems
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2019
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Aihua Fan
Shilei Fan
Lingmin Liao
Wang Yuefei
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The theory of multiplicative chaos and its applications
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2019
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Aihua Fan
Bing Li
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On $\mu$-Dvoretzky random covering of the circle
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2019
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Aihua Fan
Davit Karagulyan
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On uniformity of q‐multiplicative sequences
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2019
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Aihua Fan
Jakub Konieczny
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On $μ$-Dvoretzky random covering of the circle
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2019
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Aihua Fan
Davit Karagulyan
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PDF
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Topological Wiener-Wintner ergodic theorem with polynomial weights
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2018
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Aihua Fan
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PDF
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Some properties of stationary determinantal point processes on Z
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2018
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Aihua Fan
Shilei Fan
Yanqi Qiu
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PDF
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Generic points of shift-invariant measures in the countable symbolic space
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2018
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Ai-Hua Fan
Ming‐Tian Li
Jihua Ma
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PDF
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Everywhere divergence of one-sided ergodic Hilbert transform
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2018
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Aihua Fan
Jörg Schmeling
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Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems
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2017
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Aihua Fan
Lingmin Liao
Meng Wu
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Weighted Birkhoff ergodic theorem with oscillating weights
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2017
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Aihua Fan
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Fully oscillating sequences and weighted multiple ergodic limit
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2017
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Aihua Fan
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Oscillating sequences, MMA and MMLS flows and Sarnak’s conjecture
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2017
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Aihua Fan
Yunping Jiang
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Fully oscillating sequences and weighted multiple ergodic limit
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2017
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Aihua Fan
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Weighted Birkhoff ergodic theorem with oscillating weights
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2017
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Aihua Fan
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Minimality of <i>p</i>-adic rational maps with good reduction
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2017
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Aihua Fan
Shilei Fan
Lingmin Liao
Yuefei Wang
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Compact open spectral sets in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Q</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>
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2016
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Aihua Fan
Shilei Fan
Ruxi Shi
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STUDY OF ALMOST EVERYWHERE CONVERGENCE OF SERIES BY MEANS OF MARTINGALE METHODS
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2016
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Christophe Cuny
Ai Hua Fan
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Generic Points of shift-Invariant Measures in the Countable Symbolic Space
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2016
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Aihua Fan
Ming‐Tian Li
Jihua Ma
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PDF
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Oscillating Sequences, Minimal Mean Attractability and Minimal Mean-Lyapunov-Stability
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2015
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Aihua Fan
Yunping Jiang
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PDF
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Almost everywhere convergence of ergodic series
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2015
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Aihua Fan
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Higher dimensional Frobenius problem: Maximal saturated cone, growth function and rigidity
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2015
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Aihua Fan
Hui Rao
Yuan Zhang
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Minimality of p-adic rational maps with good reduction
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2015
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Aihua Fan
Shilei Fan
Lingmin Liao
Yuefei Wang
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Compact Open Spectral Sets In $\mathbb{Q}_p$
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2015
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Aihua Fan
Shilei Fan
Ruxi Shi
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Bounded tiles in $\mathbb{Q}_p$ are compact open sets
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2015
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Aihua Fan
Shilei Fan
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Fuglede's conjecture holds in $\mathbb{Q}_p$
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2015
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Aihua Fan
Shilei Fan
Lingmin Liao
Ruxi Shi
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Multifractal analysis for expanding interval maps with infinitely many branches
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2015
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Aihua Fan
Thomas Jordan
Lingmin Liao
Michał Rams
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Study of almost everywhere convergence of series by means of martingale methods
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2015
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Christophe Cuny
Ai Hua Fan
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Multifractal analysis for expanding interval maps with infinitely many branches
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2014
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Aihua Fan
Thomas Jordan
Lingmin Liao
Michał Rams
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On minimal decomposition of p -adic homographic dynamical systems
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2014
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Aihua Fan
Shilei Fan
Lingmin Liao
Yuefei Wang
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Some Aspects of Multifractal Analysis
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2014
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Aihua Fan
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Higher dimensional Frobenius problem: Maximal saturated cone, growth function and rigidity
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2014
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Aihua Fan
Hui Rao
Yuan Zhang
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Some Aspects of Multifractal analysis
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2014
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Aihua Fan
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A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation
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2013
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Aihua Fan
Jörg Schmeling
Serge Troubetzkoy
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On almost sure limiting behavior of a dependent random sequence
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2013
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Aihua Fan
Wang Zhong-zhi
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PDF
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The Multifractal Spectra of V-Statistics
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2013
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Aihua Fan
Jörg Schmeling
Meng Wu
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On minimal decomposition of $p$-adic homographic dynamical systems
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2013
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Aihua Fan
Shilei Fan
Lingmin Liao
Yuefei Wang
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On the lengths of basic intervals in beta expansions
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2012
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Aihua Fan
Baowei Wang
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Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems
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2012
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Aihua Fan
Lingmin Liao
Meng Wu
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A Class of Strong Deviation Theorems for Sub-Gaussian Stochastic Sequence
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2012
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Aihua Fan
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Multifractal analysis of some multiple ergodic averages
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2012
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Aihua Fan
Joerg Schmeling
Meng Wu
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The Multifractal Spectra of V-Statistics
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2012
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Aihua Fan
Joerg Schmeling
Meng Wu
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Vladimir Sergeevich Anashin
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2011
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Fabien Durand
Aihua Fan
Andrei Yu. Khrennikov
Dongdai Lin
Franco Vivaldi
Yuefei Wang
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Level sets of multiple ergodic averages
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2011
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Aihua Fan
Lingmin Liao
Jihua Ma
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PDF
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Multifractal analysis of multiple ergodic averages
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2011
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Aihua Fan
Jörg Schmeling
Meng Wu
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On minimal decomposition of p-adic polynomial dynamical systems
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2011
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Aihua Fan
Lingmin Liao
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Minimal subsystems of affine dynamics on local fields
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2011
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Aihua Fan
Youssef Fares
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Level sets of multiple ergodic averages
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2011
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Aihua Fan
Lingmin Liao
Jihua Ma
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Dimension of Besicovitch–Eggleston sets in countable symbolic space
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2010
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Aihua Fan
Lingmin Liao
Jihua Ma
Baowei Wang
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Recurrence properties of sequences of integers
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2010
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Aihua Fan
Dominique Schneider
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Recurrence properties of sequences of integers Dedicated to Professor Yang Lo on the Occasion of his 70th Birthday
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2010
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Aihua Fan
Schneider Dominique
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PDF
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On the frequency of partial quotients of regular continued fractions
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2009
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Aihua Fan
Liao Lingmin
Jihua Ma
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Some Properties of Riesz Products on the Ring of p-Adic Integers
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2009
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Aihua Fan
Xiongying Zhang
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Minimal dynamical systems on a discrete valuation domain
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2009
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Jean-Luc Chabert
Aihua Fan
Youssef Fares
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Some limit theorems of runs to the continuous‐valued sequence
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2008
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Aihua Fan
Wang Zhong-zhi
Fangqing Ding
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On Khintchine exponents and Lyapunov exponents of continued fractions
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2008
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Aihua Fan
Lingmin Liao
Baowei Wang
Jun Wu
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On Khintchine exponents and Lyapunov exponents of continued fractions
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2008
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Aihua Fan
Lingmin Liao
Baowei Wang
Jun Wu
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Sample relative entropy and some small deviation theorems for dependent stochastic sequence
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2008
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Aihua Fan
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Generic points in systems of specification and Banach valued Birkhoff ergodic average
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2008
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Aihua Fan
Lingmin Liao
Jacques Peyrière
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Dynamical diophantine approximation
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2008
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Aihua Fan
Joerg Schmeling
Serge Troubetzkoy
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Absolute continuity of the distribution of some Markov geometric series
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2007
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Aihua Fan
Jihong Zhang
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Dynamical Diophantine Approximation
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2007
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Aihua Fan
Joerg Schmeling
Serge Troubetzkoy
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PDF
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Riesz products on the ring of p-adic integers
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2007
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Aihua Fan
Xiong Ying Zhang
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Strict ergodicity of affine p-adic dynamical systems on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math>
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2007
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Aihua Fan
Ming‐Tian Li
Jia-Yan Yao
Dan Zhou
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Arithmetic and metric properties of Oppenheim continued fraction expansions
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2007
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Aihua Fan
Baowei Wang
Jun Wu
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p-adic repellers in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi mathvariant="double-struck">Q</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math> are subshifts of finite type
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2007
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Aihua Fan
Lingmin Liao
Yue Fei Wang
Dan Zhou
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A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION WITH A GENERAL ERROR FUNCTION
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2006
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Aihua Fan
Jun Wu
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p-adic affine dynamical systems and applications
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2005
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Aihua Fan
Ming‐Tian Li
Jia-Yan Yao
Dan Zhou
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Asymptotic Hausdorff dimensions of Cantor sets associated with an asymptotically non-hyperbolic family
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2005
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Aihua Fan
Yunping Jiang
Jun Wu
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LOCAL INEQUALITIES FOR SIDON SUMS AND THEIR APPLICATIONS
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2005
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Aihua Fan
Yiping Zhang
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Level sets of β-expansions
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2004
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Aihua Fan
Hao Zhu
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Covering numbers of different points in Dvoretzky covering
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2004
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Julien Barral
Aihua Fan
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Limsup deviations on trees
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2004
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Aihua Fan
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Densities of some Poisson <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="normal">T</mml:mi></mml:math>-martingales and random covering numbers
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2004
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Julien Barral
Aihua Fan
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Products of non-stationary random matrices and multiperiodic equations of several scaling factors
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2004
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Aihua Fan
Benoît Saussol
Jörg Schmeling
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ε-Pisot numbers in any real algebraic number field are relatively dense
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2003
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Aihua Fan
Jörg Schmeling
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On fast Birkhoff averaging
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2003
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Aihua Fan
Jörg Schmeling
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Metric Properties and Exceptional Sets of the Oppenheim Expansions over the Field of Laurent Series
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2003
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Aihua Fan
Jun Wu
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Approximation orders of formal Laurent series by Oppenheim rational functions
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2003
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Aihua Fan
Jun Wu
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Transforms for arbitrary adapted random variables and a.s. convergence
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2003
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Aihua Fan
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How many intervals cover a point in Dvoretzky covering?
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2002
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Aihua Fan
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Relationships between Different Dimensions of a Measure
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2002
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Aihua Fan
Ka‐Sing Lau
Hui Rao
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Coverings of the circle driven by rotations
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2002
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Aihua Fan
Jörg Schmeling
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A strong limit theorem for nonehomgenous Markov chain
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2002
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Aihua Fan
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Some Small Deviation Theorems on Moving Average of Partial Sums for Arbitrary Integral Random Sequences
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2002
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Aihua Fan
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Products of non-stationary random matrices and Multiperiodic equations of several scaling factors
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2002
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Aihua Fan
Benoît Saussol
Joerg Schmeling
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On Ruelle-Perron-Frobenius Operators.¶I. Ruelle Theorem
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2001
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Aihua Fan
Yunping Jiang
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On Ruelle-Perron-Frobenius Operators.¶II. Convergence Speeds
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2001
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Aihua Fan
Yunping Jiang
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RECURRENCE, DIMENSION AND ENTROPY
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2001
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Aihua Fan
De–Jun Feng
Jun Wu
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Regularity of Butterworth refinable functions
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2001
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Aihua Fan
Qiyu Sun
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Individual behaviors of oriented walks
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2000
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Aihua Fan
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None
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2000
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Aihua Fan
De–Jun Feng
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PDF
Chat
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Iterated function systems with overlaps
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2000
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Aihua Fan
Ka‐Sing Lau
Sze-Man Ngai
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Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
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1999
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Aihua Fan
Yunping Jiang
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