On contact Anosov flows

C Liverani - Annals of mathematics, 2004 - JSTOR
On Contact Anosov Flows Page 1 Annals of Mathematics, 159 (2004), 1275-1312 On contact
Anosov flows By CARLANGELO LIVERANI* Abstract Exponential decay of correlations for C4 …

Ruelle–perron–frobenius spectrum for anosov maps

M Blank, G Keller, C Liverani - Nonlinearity, 2002 - iopscience.iop.org
We extend a number of results from one-dimensional dynamics based on spectral properties
of the Ruelle–Perron–Frobenius transfer operator to Anosov diffeomorphisms on compact …

[图书][B] Lectures on partial hyperbolicity and stable ergodicity

YB Pesin - 2004 - books.google.com
This book is an introduction to the modern theory of partial hyperbolicity with applications to
stable ergodicity theory of smooth dynamical systems. It provides a systematic treatment of …

Limit theorems for partially hyperbolic systems

D Dolgopyat - Transactions of the American Mathematical Society, 2004 - ams.org
We consider a large class of partially hyperbolic systems containing, among others, affine
maps, frame flows on negatively curved manifolds, and mostly contracting diffeomorphisms …

On the ergodicity of partially hyperbolic systems

K Burns, A Wilkinson - Annals of Mathematics, 2010 - JSTOR
Pugh and Shub have conjectured that essential accessibility implies ergodicity for a C 2,
partially hyperbolic, volume-preserving diffeomorphism. We prove this conjecture under a …

On differentiability of SRB states for partially hyperbolic systems

D Dolgopyat - Inventiones mathematicae, 2004 - Springer
Consider a one parameter family of diffeomorphisms f ε such that f 0 is an Anosov element in
a standard abelian Anosov action having sufficiently strong mixing properties. Let ν ε be any …

[PDF][PDF] Stably ergodic dynamical systems and partial hyperbolicity

C Pugh, M Shub - Journal of Complexity, 1997 - academia.edu
In this paper we show that a little hyperbolicity goes a long way toward guaranteeing stable
ergodicity, and in fact may be necessary for it. Our main theorem may be interpreted as …

Stable ergodicity and julienne quasi-conformality

C Pugh, M Shub - Journal of the European Mathematical Society, 2000 - ems.press
In this paper we dramatically expand the domain of known stably ergodic, partially
hyperbolic dynamical systems. For example, all partially hyperbolic affine diffeomorphisms …

[PDF][PDF] Introduction to partially hyperbolic dynamics

S Crovisier, R Potrie - School on Dynamical Systems, ICTP, Trieste, 2015 - Citeseer
These are notes for a minicourse in the School on Dynamical Systems 2015 at ICTP. This
version is quite preliminary, incomplete (mainly in the last sections) and probably contains …

[图书][B] Spectral properties of Schrödinger operators arising in the study of quasicrystals

D Damanik, M Embree, A Gorodetski - 2015 - Springer
We survey results that have been obtained for self-adjoint operators, and especially
Schrödinger operators, associated with mathematical models of quasicrystals. After …