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

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

2011-04-11

arxiv.org/abs/1104.1874v1

Mathematics

Dynamical Systems

Scientific paper

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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