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Livšic theorems and stable ergodicity for group extensions of hyperbolic systems with discontinuities
Published online by Cambridge University Press: 02 December 2003
Abstract
We prove measurable Livšic theorems for Lie group valued cocycles over certain classes of uniformly hyperbolic maps with discontinuities, in particular the $\beta$-transformation, C2 Markov maps and a simple class of toral linked twist maps. As an application, we establish stable ergodicity results for compact group extensions of certain classes of uniformly hyperbolic systems with discontinuities.
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- Research Article
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- 2003 Cambridge University Press
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