TY  - BOOK
AU  - Avila,Artur
AU  - Santamaria,Jimmy
AU  - Viana,Marcelo
AU  - Wilkinson,Amie
TI  - Cocycles over partially hyperbolic maps
T2  - Asterisque
SN  - 9782856297780
U1  - 510=4 23
PY  - 2013///
CY  - Paris
PB  - Societe mathematique de France
KW  - Cocycles
KW  - Diffeomorphisms
KW  - Differentiable dynamical systems
N1  - Includes bibliographical references; Cocycles over partially hyperbolic maps / Artur Avila, Jimmy Santamaria, Marcelo Viana & Amie Wilkinson --
Holonomy invariance : rough regularity and applications to Lyapunov exponents / Artur Avila, Jimmy Santamaria & Marcelo Viana --
The cohomological equation for partially hyperbolic diffeomorphisms / Amie Wilkinson
N2  - The works collected in this volume, while addressing quite different goals, are focused on the same type of mathematical object: cocycles over partially hyperbolic diffeomorphisms. We begin with a preliminary overview giving background on the history and applications of the study of dynamical cocycles and partially hyperbolic theory and elucidating the connections between the two main articles. The first one investigates effective conditions which ensure that the Lyapunov spectrum of a (possibly non-linear) cocycle over a partially hyperbolic dynamical system is nontrivial. In the second one, the classical Livšic theory of the cohomological equation for Anosov diffeomorphisms is extended to accessible partially hyperbolic diffeomorphisms
ER  -