A Livšic Type Theorem for Germs of Analytic Diffeomorphisms

Navas-Flores, A

doi:10.1088/0951-7715/26/1/297

A Livšic Type Theorem for Germs of Analytic Diffeomorphisms

Journal

Nonlinearity

ISSN

0951-7715

Date Issued

2013

Author(s)

Navas-Flores, A

DOI

https://doi.org/10.1088/0951-7715/26/1/297

Abstract

We deal with the problem of the validity of the Livšic theorem for cocycles of diffeomorphisms over a hyperbolic dynamics that satisfy the periodic orbit condition. We give a result in the positive direction for cocycles of germs of analytic diffeomorphisms at the origin. © 2013 IOP Publishing Ltd & London Mathematical Society.