Events2Join

SRB measures for almost Axiom A diffeomorphisms


Existence of SRB-measures for some topologically hyperbolic ...

A diffeomorphism f of a compact manifold M is called almost Axiom-A if it is hyperbolic in a neighborhood of some compact f-invariant set -finite ...

stochastic stability of generalized srb measures of axiom a basic sets

In the case of an Axiom A basic set of a diffeomorphism, the generalized SRB measure was ... defines a bundle RDS over (Ω, F, P, θ) and we ...

SRB measures for pointwise hyperbolic systems on open regions

References · Aaronson J. An Introduction to Infinite Ergodic Theory. · Alves J, Leplaideur R. SRB measures for almost Axiom A diffeomorphisms.

SRB measures without symbolic dynamics or dominated splittings

f an Axiom A diffeomorphism, f (p) = p. f has an SRB measure. Small ... Slow down Axiom A f near p = f (p) as before. Let N : Rd → Rd ...

Diffeomorphisms admitting SRB measures and their regularity

Enrich, SRB measures of certain almost hyperbolic diffeomorphisms with a tangency, Discr. ... Ruelle, A measure associated with axiom A attractors, Amer. J ...

SRB MEASURES IN CHAOTIC DYNAMICAL SYSTEMS

[10] A diffeomorphism f of a manifold M is called non-uniformly hyperbolic with respect to an invariant ergodic proba- bility measure µ if µ-almost every x ∈ M ...

SMOOTH ERGODIC THEORY Contents Glossary 1 Definition and ...

the existence of SRB measures for dissipative, non-Anosov partially hyperbolic diffeomorphisms. ... [22] Bowen, Rufus Markov partitions for Axiom A ...

Differentiation of SRB States: Correction and Complements

... SRB measure with respect to parameters. The SRB measure ρf on a mixing Axiom A attractor K depends smoothly on the diffeomorphism f , and a formula for the ...

On hyperbolic measures and periodic orbits - DePaul University

measure whose Lyapunov exponents are nonzero almost everywhere. In his ... Bowen, Periodic points and measures for Axiom A diffeomorphisms, Trans. Amer ...

Authenticus:P-00K-WA4 | CMUP

SRB measures for almost Axiom a diffeomorphisms. Ergodic Theory and Dynamical Systems | 2016 | article. BibTeX · DOI. Publication. Year of publication: 2016.

Decay of correlations for some partially hyperbolic diffeomorphisms

Key words: almost Anosov diffeomophism, SRB measure, polynomial upper bounds on correlations, first return map. 1. Introduction. Let M be a d-dimensional closed ...

SRB measures for partially hyperbolic systems whose ... - EMS Press

We consider partially hyperbolic C1+ diffeomorphisms of compact Riemannian man- ifolds of arbitrary dimension which admit a partially hyperbolic tangent bundle ...

Linear response, or else - IMJ-PRG

horseshoe is a famous Axiom A diffeomorphism, but SRB measures exist in general only ... and Shen, W., Summability implies Collet–Eckmann almost surely, Ergodic.

All, most, some differentiable dynamical systems - Michael Shub

preserving diffeomorphisms and the study of SRB measures. Pesin's paper [Pe1] ... be the average over Gf of the entropy of gf with respect to this SRB measure.

Exponential volume limits - CDN

In [Bow08] Bowen. 1. Page 2. 2. S. BEN OVADIA, F. RODRIGUEZ-HERTZ shows that for Axiom A attractors which support an SRB measure, the volume measure of the ...

Existence of SRB measures for hyperbolic maps with weak regularity

... Axiom-A diffeomorphism. Λ is non-trivial if ... Young, Nonexistence of SBR measures for some diffeomorphisms that are 'almost Anosov', Ergodic Theory Dyn.

attractors and attracting measures - Karl Petersen, Math, UNC-CH

We now start our study of Axiom A diffeomorphisms. These form a ... of Lebesgue-almost every orbit are given by SRB measure, which is an equilibrium state.

All, most, some differentiable dynamical systems - CiteSeerX

volume preserving diffeomorphisms and the study of SRB measures. Pesin's ... diffeomorphism then µ almost every point in M is in a basin of an SRB measure.

Dirac physical measures for generic diffeomorphisms.

The asymptotic statistical behaviour of Lebesgue almost every orbit is captured by a fixed point, which in fact is the sole statistical attractor of the.

Ergodic Theory of Almost Hyperbolic Systems 0. Introduction

f : M → M is an Anosov diffeomorphism and has an SRB measure. Theorem 1.4 ... For Axiom A attractors and the SRB measures, stochastic stability was first.