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Cocycles over partially hyperbolic maps / Artur Avila...[et al.].

By: Contributor(s): Material type: TextTextSeries: Asterisque ; 358.Publication details: Paris : Societe mathematique de France, 2013.Description: ix, 165 p. : illustrations ; 24 cmISBN:
  • 9782856297780
Subject(s): DDC classification:
  • 510=4 23 As853
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.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510=4 As853 (Browse shelf(Opens below)) Available C26464
Total holds: 0

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.

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.

Text in English; abstract in both English and French.

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