Mixing rates for intermittent maps of high exponent

DOI10.1007/s00440-015-0690-0zbMath1372.37079OpenAlexW2202132286WikidataQ57921554 ScholiaQ57921554MaRDI QIDQ343800

Dalia Terhesiu

Publication date: 29 November 2016

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10871/20104

zbMATH Keywords

Markov chaintransfer operatorinfinite measureunit interval map

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (10)

Krickeberg mixing for \(\mathbb{Z}\)-extensions of Gibbs Markov semiflows ⋮ Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon ⋮ Renewal theorems and mixing for non Markov flows with infinite measure ⋮ A note on the run length function for intermittent maps ⋮ Doubly intermittent full branch maps with critical points and singularities ⋮ Persistent non-statistical dynamics in one-dimensional maps ⋮ Operator renewal theory for continuous time dynamical systems with finite and infinite measure ⋮ Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms ⋮ Infinite measure mixing for some mechanical systems ⋮ Limit theorems for wobbly interval intermittent maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operator renewal theory and mixing rates for dynamical systems with infinite measure
• Characterization of weak convergence of Birkhoff sums for Gibbs-Markov maps
• Transformations on [0,1 with infinite invariant measures]
• Distributional limit theorems in infinite ergodic theory
• Random f-expansions
• The asymptotic distributional behaviour of transformations preserving infinite measures
• Subexponential decay of correlations
• Sharp polynomial estimates for the decay of correlations
• A limit theorem for the Perron-Frobenius operator of transformations on [0,1 with indifferent fixed points]
• First and higher order uniform dual ergodic theorems for dynamical systems with infinite measure
• Berry--Esseen theorem and local limit theorem for non uniformly expanding maps
• A discrete renewal theorem with infinite mean
• Absolutely convergent Fourier expansions for non-commutative normed rings
• Correlation asymptotics from large deviations in dynamical systems with infinite measure
• A Quicker Convergence to Euler's Constant
• The Dynkin-Lamperti arc-sine laws for measure preserving transformations
• Ergodic structure and invariant densities of non-Markovian interval maps with indifferent fixed points
• A probabilistic approach to intermittency
• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
• Ergodic properties of infinite measure-preserving interval maps with indifferent fixed points
• The asymptotics of the Perron-Frobenius operator of a class of interval maps preserving infinite measures
• Improved mixing rates for infinite measure-preserving systems
• Strong Renewal Theorems with Infinite Mean

This page was built for publication: Mixing rates for intermittent maps of high exponent