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arXiv · 1701.08659

Exponentially mixing, locally constant skew extensions of shift maps

Frédéric Naud
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Abstract

It is known that locally constant toral extensions of hyperbolic systems can never mix at an exponential rate. In this note we exhibit some examples of non-abelian locally constant compact extensions of the shift map which are exponentially mixing for Holder-$L^2$ observables. The proof rests on a result of Bourgain-Gamburd and a decoupling argument.

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Frédéric Naud. 2017-01-30. Exponentially mixing, locally constant skew extensions of shift maps. https://arxiv.org/abs/1701.08659

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