Robustly invariant sets in fiber contracting bundle flows

DOI10.3934/jmd.2013.7.255zbMath1328.37017arXiv1210.3791OpenAlexW2962770410MaRDI QIDQ371057

Oliver Butterley, Carlangelo Liverani

Publication date: 27 September 2013

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3791

zbMATH Keywords

resonancestransfer operatorsbundle flowsdifferentiability of SRB

Mathematics Subject Classification ID

Partially hyperbolic systems and dominated splittings (37D30) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations ⋮ Exponential decay of correlations for finite horizon Sinai billiard flows ⋮ Quenched linear response for smooth expanding on average cocycles ⋮ Green-Kubo formula for weakly coupled systems with noise ⋮ Mixing for some non-uniformly hyperbolic systems ⋮ Global trace formula for ultra-differentiable Anosov flows ⋮ A note on operator semigroups associated to chaotic flows ⋮ Parabolic dynamics and anisotropic Banach spaces ⋮ Horocycle averages on closed manifolds and transfer operators ⋮ Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Anosov flows and dynamical zeta functions
• Exponential decay of correlations for piecewise cone hyperbolic contact flows
• On contact Anosov flows
• Smooth Anosov flows: Correlation spectra and stability
• Banach spaces adapted to Anosov systems
• Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens
• Invariant manifolds
• The radius of the essential spectrum