arXiv:1104.1874 Abstract | arXiv Analytics

arXiv:1104.1874 [math.DS]Abstract References Reviews Resources

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

Published 2011-04-11Version 1

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.

Categories: math.DS

Keywords: expanding maps, compact extensions, heat kernel, compact lie groups, elliptic pde estimates

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