Cocycles over partially hyperbolic maps

Cocycles over partially hyperbolic maps
Artur Avila, Artur Avila
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Last edited by MARC Bot
December 21, 2022 | History

Cocycles over partially hyperbolic maps

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.

Publish Date
Language
English
Pages
165

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Edition Availability
Cover of: Cocycles over partially hyperbolic maps
Cocycles over partially hyperbolic maps
2013, Société mathématique de France
in English

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Book Details


Table of Contents

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.

Edition Notes

Includes bibliographical references.

Text in English; abstract in both English and French.

Published in
Paris
Series
Astérisque -- 358, Astérisque -- 358.
Copyright Date
2013

Classifications

Library of Congress
QA613.65 .A95 2013, QA614.8 .A95 2013

The Physical Object

Pagination
ix, 165 pages
Number of pages
165

ID Numbers

Open Library
OL43023688M
ISBN 10
2856297781
ISBN 13
9782856297780
LCCN
2014379448
OCLC/WorldCat
873990592

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December 21, 2022 Edited by MARC Bot import existing book
December 7, 2022 Created by MARC Bot Imported from harvard_bibliographic_metadata record