Operator renewal theory for continuous time dynamical systems with finite and infinite measure

DOI10.1007/s00605-016-0922-0zbMath1361.37008arXiv1404.2508OpenAlexW2378192009WikidataQ57921695 ScholiaQ57921695MaRDI QIDQ509712

Dalia Terhesiu, Ian Melbourne

Publication date: 17 February 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2508

zbMATH Keywords

infinite ergodic theorymixing ratescontinuous time operator renewal equation

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Renewal theory (60K05) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (12)

Asymptotic expansion of correlation functions for \({\mathbb{Z}^d}\) covers of hyperbolic flows ⋮ Krickeberg mixing for \(\mathbb{Z}\)-extensions of Gibbs Markov semiflows ⋮ Pressure function and limit theorems for almost Anosov flows ⋮ 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 ⋮ Decay in norm of transfer operators for semiflows ⋮ Superpolynomial and polynomial mixing for semiflows and flows ⋮ Polynomial decay of correlations for flows, including Lorentz gas examples ⋮ Mixing rates of the geometrical neutral Lorenz model ⋮ Rates of mixing for non-Markov infinite measure semiflows ⋮ Infinite mixing for one-dimensional maps with an indifferent fixed point ⋮ Infinite measure mixing for some mechanical systems

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