Cocycles over partially hyperbolic maps - Info and Reading Options
By Artur Avila
"Cocycles over partially hyperbolic maps" was published by Société mathématique de France in 2013 - Paris, it has 165 pages and the language of the book is English.
“Cocycles over partially hyperbolic maps” Metadata:
- Title: ➤ Cocycles over partially hyperbolic maps
- Author: Artur Avila
- Language: English
- Number of Pages: 165
- Publisher: Société mathématique de France
- Publish Date: 2013
- Publish Location: Paris
“Cocycles over partially hyperbolic maps” Subjects and Themes:
- Subjects: ➤ Cocycles - Diffeomorphisms - Differentiable dynamical systems
Edition Specifications:
- Pagination: ix, 165 pages
Edition Identifiers:
- The Open Library ID: OL43023688M - OL31372826W
- Online Computer Library Center (OCLC) ID: 873990592
- Library of Congress Control Number (LCCN): 2014379448
- ISBN-13: 9782856297780
- ISBN-10: 2856297781
- All ISBNs: 2856297781 - 9782856297780
AI-generated Review of “Cocycles over partially hyperbolic maps”:
"Cocycles over partially hyperbolic maps" Table Of Contents:
- 1- Cocycles over partially hyperbolic maps -- Artur Avila, Jimmy Santamaria, Marcelo Viana & Amie Wilkinson
- 2- Holonomy invariance : rough regularity and applications to Lyapunov exponents -- Artur Avila, Jimmy Santamaria & Marcelo Viana
- 3- The cohomological equation for partially hyperbolic diffeomorphisms -- Amie Wilkinson.
"Cocycles over partially hyperbolic maps" Description:
The Open Library:
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.
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