Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition

DOI10.1088/1361-6544/ac3c2czbMath1493.37023OpenAlexW4205710673MaRDI QIDQ5019961

Yuan-Ling Ye, Yunping Jiang

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac3c2c

zbMATH Keywords

decay of correlationsRuelle operator theoremDini potentialweakly contractive iterated function systemweakly expanding dynamical system

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
• Iterated function system and Ruelle operator
• Intermittency and regularized Fredholm determinants
• Subexponential decay of correlations
• Convergence speed of a Ruelle operator associated with a non-uniformly expanding conformal dynamical system and a Dini potential
• Non-uniformly expanding dynamical systems: multi-dimension
• Ruelle operator with nonexpansive IFS
• Ruelle operator with weakly contractive iterated function systems
• Ruelle operator theorem for non-expansive systems
• On the structure of self-similar sets
• Ruelle's Operator Theorem and g-Measures
• A probabilistic approach to intermittency
• On the speed of convergence to equilibrium states for multi-dimensional maps with indifferent periodic points
• Decay of correlations for piecewise smooth maps with indifferent fixed points
• Strong statistical stability of non-uniformly expanding maps
• Decay of correlations for weakly expansive dynamical systems
• Decay of correlations for non-uniformly expanding systems with general return times
• Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• On Ruelle-Perron-Frobenius operators. I: Ruelle theorem
• On Ruelle-Perron-Frobenius operators. II: Convergence speeds