A note on operator semigroups associated to chaotic flows

DOI10.1017/etds.2014.127zbMath1367.37024arXiv1403.5149OpenAlexW2063869216MaRDI QIDQ2828027

Oliver Butterley

Publication date: 24 October 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5149

zbMATH Keywords

Laplace transformtransfer operatorexponential mixing

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Laplace transform (44A10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (7)

Decay in norm of transfer operators for semiflows ⋮ Exponential decay of correlations for finite horizon Sinai billiard flows ⋮ Parabolic flows renormalized by partially hyperbolic maps ⋮ Martingale approximations and anisotropic Banach spaces with an application to the time-one map of a Lorentz gas ⋮ Parabolic dynamics and anisotropic Banach spaces ⋮ Horocycle averages on closed manifolds and transfer operators ⋮ Locating Ruelle–Pollicott resonances*

Cites Work

• Anosov flows and dynamical zeta functions
• Robustly invariant sets in fiber contracting bundle flows
• Area expanding \({\mathcal C^{1+\alpha}}\) suspension semiflows
• Spectral analysis of the transfer operator for the Lorentz gas
• Exponential decay of correlations for piecewise cone hyperbolic contact flows
• Exponential mixing for the Teichmüller flow
• On the rate of mixing of Axiom A flows
• On decay of correlations in Anosov flows
• On contact Anosov flows
• Smooth Anosov flows: Correlation spectra and stability
• Stability of mixing and rapid mixing for hyperbolic flows
• Vector-valued Laplace Transforms and Cauchy Problems
• Rapid decay of correlations for nonuniformly hyperbolic flows
• Quasi-compactness of transfer operators for contact Anosov flows
• Decay of correlations for slowly mixing flows
• Prevalence of rapid mixing in hyperbolic flows
• Prevalence of rapid mixing—II: topological prevalence
• Contact Anosov flows and the Fourier–Bros–Iagolnitzer transform
• Expanding semiflows on branched surfaces and one-parameter semigroups of operators
• Decay of correlations in suspension semi-flows of angle-multiplying maps
• The radius of the essential spectrum

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