Heat kernel and the rate of mixing for compact extensions of expanding maps
classification
🧮 math.DS
keywords
compactexpandingextensionsmapsmixingrateboundclass
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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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