Heat kernel and the rate of mixing for compact extensions of expanding maps

Frédéric Naud

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arXiv · 1104.1874

Heat kernel and the rate of mixing for compact extensions of expanding maps

Frédéric Naud

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Abstract

We consider skew extensions of expanding maps by compact Lie groups. For a class of natural invariant measures, we prove an explicit lower bound on the rate of (exponential) mixing involving topological pressure. Proof uses representation theory and some elliptic pde estimates.

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Frédéric Naud. 2011-04-11. Heat kernel and the rate of mixing for compact extensions of expanding maps. https://arxiv.org/abs/1104.1874

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