Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms

From MaRDI portal
Publication:2372790

DOI10.5802/aif.2253zbMath1138.37011arXivmath/0505015OpenAlexW1843185825MaRDI QIDQ2372790

Masato Tsujii, Viviane Baladi

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505015



Related Items

Ruelle-Pollicott resonances for manifolds with hyperbolic cusps, The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces, Differentiating potential functions of SRB measures on hyperbolic attractors, On almost-sure versions of classical limit theorems for dynamical systems, Rare events, exponential hitting times and extremal indices via spectral perturbation†, Characteristic functions as bounded multipliers on anisotropic spaces, The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds, Exponential mixing for generic volume-preserving Anosov flows in dimension three, Pollicott-Ruelle resonances for open systems, Sharp polynomial bounds on the number of Pollicott–Ruelle resonances, Building thermodynamics for non-uniformly hyperbolic maps, Geodesic flows on negatively curved manifolds and the semi-classical zeta function, Afterword: Dynamical zeta functions for Axiom A flows, Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow, Anosov flows and dynamical zeta functions, Limit theorems for fast-slow partially hyperbolic systems, Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations, Rigorous justification for the space–split sensitivity algorithm to compute linear response in Anosov systems, Ruelle zeta function at zero for surfaces, Stochastic stability of Pollicott-Ruelle resonances, Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables, Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics, Corridengum: Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables (2017Nonlinearity301204), Fractal Weyl law for the Ruelle spectrum of Anosov flows, Exponential decay of correlations for finite horizon Sinai billiard flows, A paradifferential approach for hyperbolic dynamical systems and applications, Topological entropy and pressure for finite-horizon Sinai billiards, VIRTUALLY EXPANDING DYNAMICS, Globally coupled Anosov diffeomorphisms: statistical properties, Discontinuities cause essential spectrum, Projective cones for sequential dispersing billiards, Flat trace statistics of the transfer operator of a random partially expanding map, Exponential mixing for smooth hyperbolic suspension flows, A gentle introduction to anisotropic Banach spaces, SPECTRAL ANALYSIS OF MORSE–SMALE FLOWS I: CONSTRUCTION OF THE ANISOTROPIC SPACES, Stability of statistical properties in two-dimensional piecewise hyperbolic maps, Intertwining the geodesic flow and the Schrödinger group on hyperbolic surfaces, On the smooth dependence of SRB measures for partially hyperbolic systems, Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps, Hyperbolic dynamics meet Fourier analysis, an Invitation to the book. Book review of: V. Baladi, Dynamical zeta functions and dynamical determinants for hyperbolic maps. A functional approach, Upper bound on the density of Ruelle resonances for Anosov flows, Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability, Unwrapping eigenfunctions to discover the geometry of almost-invariant sets in hyperbolic maps, Hölder regularity and exponential decay of correlations for a class of piecewise partially hyperbolic maps, Statistical properties of the maximal entropy measure for partially hyperbolic attractors, Random classical fidelity, Spectra of expanding maps on Besov spaces, Linear response for Dirac observables of Anosov diffeomorphisms, The Fried conjecture in small dimensions, The spectral gap for transfer operators of torus extensions over expanding maps, A local trace formula for Anosov flows, On the support of Pollicott-Ruelle resonant states for Anosov flows, Non-stationary almost sure invariance principle for hyperbolic systems with singularities, Multidimensional expanding maps with singularities: a pedestrian approach, Mathematical study of scattering resonances, The quest for the ultimate anisotropic Banach space, Good Banach spaces for piecewise hyperbolic maps via interpolation, Resonant spaces for volume-preserving Anosov flows, A strong pair correlation bound implies the CLT for Sinai billiards, Exponential decay of correlations for piecewise cone hyperbolic contact flows, Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean, Almost sure invariance principle for dynamical systems by spectral methods, Functional norms for Young towers, Mixing for some non-uniformly hyperbolic systems, Global trace formula for ultra-differentiable Anosov flows, Spectral theory of the frame flow on hyperbolic 3-manifolds, Analytical techniques for linear response formula of equilibrium states, Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps, Complete spectral data for analytic Anosov maps of the torus, On the fractional susceptibility function of piecewise expanding maps, Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems, Ruelle spectrum of linear pseudo-Anosov maps, Parabolic dynamics and anisotropic Banach spaces, Quantitative statistical properties of two-dimensional partially hyperbolic systems, Almost sure invariance principle for random dynamical systems via Gouëzel's approach, Horocycle averages on closed manifolds and transfer operators, Semiclassical Approach for the Ruelle-Pollicott Spectrum of Hyperbolic Dynamics, Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows, The semiclassical zeta function for geodesic flows on negatively curved manifolds



Cites Work