On the mixing coefficients of piecewise monotonic maps

DOI10.1007/BF02775429zbMath1085.37030arXivmath/0408205OpenAlexW1976700806MaRDI QIDQ814146

Hitoshi Nakada, Jon. Aaronson

Publication date: 6 February 2006

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408205

zbMATH Keywords

stochastic processinterval mapmixing coefficient

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving maps of the interval (37E05)

Related Items

Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems, Joint ergodicity of piecewise monotone interval maps, Approximation orders of real numbers by \(\beta\)-expansions, Tied-down occupation times of infinite ergodic transformations, Limit theory for some positive stationary processes with infinite mean, Local limit theorems for suspended semiflows, Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails, Quantitative ergodic theorems for weakly integrable functions, WEAK CONVERGENCE TO LÉVY STABLE PROCESSES IN DYNAMICAL SYSTEMS, Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean, Convergence to Lévy stable processes under some weak dependence conditions, EXCEPTIONAL SETS RELATED TO THE RUN-LENGTH FUNCTION OF BETA-EXPANSIONS, Functional limit theorem for occupation time processes of intermittent maps

Cites Work

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• SOME STRONG MIXING PROPERTIES OF A SEQUENCE OF RANDOM VARIABLES ARISING FROM α-CONTINUED FRACTIONS
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