WorldCat Identities

Avila, Artur 1979-

Overview
Works: 22 works in 32 publications in 1 language and 203 library holdings
Roles: Author
Publication Timeline
.
Most widely held works by Artur Avila
Cocycles over partially hyperbolic maps by Artur Avila( Book )

9 editions published in 2013 in English and held by 171 WorldCat member libraries worldwide

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
Simplicial nonpositive curvature by Tadeusz Januszkiewicz( Book )

3 editions published in 2006 in English and Undetermined and held by 5 WorldCat member libraries worldwide

Statistical properties of unimodal maps by Artur Avila( Book )

1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide

Families of rationally simply connected varieties over surfaces and torsors for semisimple groups by A. J. de Jong( Book )

1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide

Teichmüller curves in genus three and just likely intersections in Gnm x Gna by Matt Bainbridge( Book )

1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide

Simplicity of Lyapunov spectra by Artur Avila( Book )

1 edition published in 2005 in English and held by 1 WorldCat member library worldwide

Statistical properties of unimodal maps : smooth families with negative Schwarzian derivative by Carlos Gustavo Moreira( Book )

1 edition published in 2001 in English and held by 1 WorldCat member library worldwide

Extremal Lyapunov exponents of smooth cocycles by Artur Avila( Book )

1 edition published in 2008 in English and held by 1 WorldCat member library worldwide

Phase-parameter relation and sharp statistical properties for general families of unimodal maps by Carlos Gustavo Moreira( Book )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Cocycles over partially hyperbolic maps by Artur Avila( )

1 edition published in 2008 in English and held by 1 WorldCat member library worldwide

We give a general necessary condition for the extremal (largest and smallest) Lyapunov exponents of a Hölder continuous cocycle over a volume preserving partially hyperbolic diffeomorphism to coincide. This condition applies to smooth cocycles, with linear and projective cocycles as special cases. It is based on an abstract rigidity result for fiber bundle sections that are holonomy-invariant, or even just continuous, over the strong-stable leaves and the strong-unstable leaves of the diffeomorphism. As an application, we prove that the subset of Hölder continuous linear cocycles for which the extremal Lyapunov exponents do coincide is meager and even has infinite codimension
Statistical properties of unimodal maps : physical measures, periodic orbits and pathological laminations by Carlos Gustavo Moreira( Book )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Simplicity of Lyapunov spectra: a sufficient criterion by Artur Avila( Book )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

Robust transitivity and topological mixing for C1 flows by Flávio Abdenur( Book )

1 edition published in 2002 in English and held by 1 WorldCat member library worldwide

Statistical properties of unimodal( Book )

1 edition published in 2005 in English and held by 1 WorldCat member library worldwide

Bifurcations of unimodal maps by Carlos Gustavo Moreira( Book )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Cocycles over partially hyperbolic maps by Artur Avila( Book )

1 edition published in 2008 in English and held by 1 WorldCat member library worldwide

Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family by Carlos Gustavo Moreira( Book )

1 edition published in 2001 in English and held by 1 WorldCat member library worldwide

Dynamics in the moduli space of Abelian differentials by Artur Avila( Book )

1 edition published in 2005 in English and held by 1 WorldCat member library worldwide

A formula with some aplications to the theory of Lyapunov exponents by Artur Avila( Book )

1 edition published in 2001 in English and held by 1 WorldCat member library worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.77 (from 0.74 for Cocycles o ... to 0.95 for Dynamics i ...)

Alternative Names
Artur Avila

Artur Ávila brasilianischer Mathematiker

Artur Avila brazil matematikus

Artur Ávila Brazilian and French mathematician

Artur Ávila Cordeiro de Melo

Artur Avila matematician brazilian și francez

Artur Avila matematico

Artur Avila mathématicien brésilo-français

Artur Avila wiskundige uit Brazilië

Avila, A. 1979-

Avila Cordeiro de Melo, A. 1979-

Avila Cordeiro de Melo, Artur 1979-

Авила, Артур

Авила, Артур бразильский математик, работающий в основном в области динамических систем и спектральной теории.

Артур Авила

ארתור אבילה מתמטיקאי צרפתי

ارتور أفيلا

آرتور آویلا ریاضی‌دان برزیلی

아르투르 아빌라

アルトゥル・アビラ

阿图尔·阿维拉

Languages
English (29)