Ruelle operator with nonexpansive IFS

DOI10.4064/SM148-2-4zbMath1055.37010OpenAlexW2079083589MaRDI QIDQ2773398

Yuan-Ling Ye, Ka-Sing Lau

Publication date: 21 February 2002

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/35415f8e155e1e2accbf112b9e31e1b2ad4359c0

zbMATH Keywords

iterated function systemGibbs measureRuelle operatornonexpansive mapequicontinuityweakly contractive mapPerron--Frobenius property

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Discrete version of topics in analysis (39A12)

Related Items (12)

Convergence speeds of iterations of Ruelle operator with weakly contractive IFS. ⋮ Convergence speed of a Ruelle operator associated with a non-uniformly expanding conformal dynamical system and a Dini potential ⋮ Invariant measure for infinite weakly hyperbolic iterated function systems ⋮ Vector-valued Ruelle operator with weakly contractive IFS ⋮ Ruelle operator with nonexpansive IFS on the line ⋮ Ruelle operator for infinite conformal iterated function systems ⋮ Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials ⋮ Non-uniformly expanding dynamical systems: multi-dimension ⋮ Ruelle operator theorem for non-expansive systems ⋮ Ruelle operator with weakly contractive iterated function systems ⋮ Some notes on the topological pressure of non-autonomous systems ⋮ Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition

This page was built for publication: Ruelle operator with nonexpansive IFS