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

Frédéric Naud (1)

1 LANLG - Laboratoire d'Analyse non linéaire et Géométrie

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.

Mots clés: Decay of correlations; Compact Lie group extensions; transfer operators.; transfer operators

Domaines: Systèmes dynamiques [math.DS]

Frédéric Naud. Heat kernel and the rate of mixing for compact extensions of expanding maps. 2010. ⟨hal-00570329⟩