SRB measures for partially hyperbolic systems whose ...

partial hyperbolicity, lyapunov exponents and stable ergodicity

Viana, SRB measures for partially hyperbolic systems whose central direction is mostly contracting, Israel J. Math. 115 (2000),. 157–193. [BW]. K. Burns and A ...

A note on partially hyperbolic systems with mostly expanding centers

Then there exist finitely many ergodic SRB mea- sures, they are physical measures whose basins cover a full Lebesgue measure subset of M. We ...

Partial hyperbolicity - Scholarpedia

... partially hyperbolic dynamical systems are again partially hyperbolic. ... An SRB measure for a partially hyperbolic attractor is a u-measure ...

srb measures for partially hyperbolic attractors of endomorphisms

Moreover, the statistical stability of SRB measures in dynamical systems and the continuous dependence of the entropy of the SRB measures has ...

INTRODUCTION TO PARTIALLY HYPERBOLIC DYNAMICS 3 1.1 ...

However, Pujals has proposed to classify partially hyperbolic systems modulo Anosov systems ... Viana, SRB measures for partially hyperbolic systems whose central ...

Sinai–Ruelle–Bowen measure - Wikipedia

The initial ideas pertaining to SRB measures were introduced by Yakov Sinai, David Ruelle and Rufus Bowen in the less general area of Anosov diffeomorphisms and ...

GEOMETRIC PROPERTIES OF PARTIALLY HYPERBOLIC ... - HAL

whose measure is at most νˆµ1 x1 ... (Cited on page 2.) [ABV] J.Alves, C. Bonatti, M. Viana, SRB measures for partially hyperbolic systems.

1. SRB measures for hyperbolic attractors

Give an example of a map f with a partially hyperbolic attractor and a u-measure whose basin has zero volume. 2.3. u-measures with negative ...

On the ergodicity of partially hyperbolic systems

In this paper, m will denote a Riemannian volume on M (not necessarily invariant), and will denote an invariant probability measure that lies in ...

Open sets of partially hyperbolic systems having a unique SRB ...

It is expected that a "typical" system with enough hyperbolicity (such as partial hyperbolicity) should have such measures. A special type of ...

SRB measures for higher dimensional singular partially hyperbolic ...

We prove the existence and the uniqueness of the SRB measure for any singular hyperbolic attractor in dimension d ≥ 3 . The proof does not use Poincaré ...

SRB measure and Gibbs u-state - MathOverflow

I have been reading the famous paper of Alves, Bonatti, and Viana where they proved that there is an SRB measure for partially hyperbolic systems.

Reza Mohammadpour: SRB measures for partially hyperbolic systems

Reza Mohammadpour: SRB measures for partially hyperbolic systems ... In this talk, I will show that the positive Lyapunov exponents imply non- ...

Reza Mohammadpour (Uppsala University), "SRB measures for ...

Reza Mohammadpour (Uppsala University), "SRB measures for partially hyperbolic systems" · Comments.

Open sets of partially hyperbolic systems having a unique SRB ...

B(µj ).. = 1. Remark. The measures they constructed are nowadays called hyperbolic. SRB (Sinai-Ruelle-Bowen) measures, and ...