Livšic theorems and the stable ergodicity of compact group extensions for systems with some hyperbolicity

We consider Livsic regularity for Lie group valued cocycles over: a class of piecewise expanding maps of the interval, namely Lasota-Yorke maps; uniformly hyperbolic toral maps with singularities and a class of nonuniformly expanding interval maps. As applications of the results we prove stable ergo...

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Bibliographic Details
Main Author: Scott, Andrew D.
Published: University of Surrey 2003
Subjects:
514
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.396638