Quantitative statistical properties of two-dimensional partially hyperbolic systems
DOI10.1016/j.aim.2022.108625OpenAlexW3041679652WikidataQ115598682 ScholiaQ115598682MaRDI QIDQ2089041
Carlangelo Liverani, Roberto Castorrini
Publication date: 6 October 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.05602
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Cites Work
- Unnamed Item
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- Anosov flows and dynamical zeta functions
- Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems
- Energy transfer in a fast-slow Hamiltonian system
- Backward inducing and exponential decay of correlations for partially hyperbolic attractors.
- On mixing properties of compact group extensions of hyperbolic systems
- Statistical properties of mostly contracting fast-slow partially hyperbolic systems
- Open sets of exponentially mixing Anosov flows
- Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension
- On the ergodicity of partially hyperbolic systems
- Markov approximations and decay of correlations for Anosov flows
- On decay of correlations in Anosov flows
- Stably ergodic dynamical systems and partial hyperbolicity
- A short proof of the generalized Faà di Bruno's formula
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding
- On dynamics of mostly contracting diffeomorphisms
- Limit theorems for fast-slow partially hyperbolic systems
- Ruelle zeta function at zero for surfaces
- Exponential decay of correlations for finite horizon Sinai billiard flows
- On the smooth dependence of SRB measures for partially hyperbolic systems
- On contact Anosov flows
- Stably ergodic diffeomorphisms
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- Green-Kubo formula for weakly coupled systems with noise
- The semiclassical zeta function for geodesic flows on negatively curved manifolds
- Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
- Stability of mixing and rapid mixing for hyperbolic flows
- Physical measures for partially hyperbolic surface endomorphisms
- Smoothness of solenoidal attractors
- Markov structures and decay of correlations for non-uniformly expanding dynamical systems
- Fat solenoidal attractors
- Exponential mixing for skew products with discontinuities
- Semiclassical origin of the spectral gap for transfer operators of a partially expanding map
- The partial captivity condition for U(1) extensions of expanding maps on the circle
- Banach spaces adapted to Anosov systems
- Rapid decay of correlations for nonuniformly hyperbolic flows
- Quasi-compactness of transfer operators for contact Anosov flows
- Stable ergodicity of the time-one map of a geodesic flow
- Combinatorics of Higher Derivatives of Inverses
- Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
- Ruelle Perron Frobenius spectrum for Anosov maps
- Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations
- TRANSPORT IN PARTIALLY HYPERBOLIC FAST-SLOW SYSTEMS
- Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens
- Decay of correlations in suspension semi-flows of angle-multiplying maps
- Invariant manifolds
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