33 citations · 50 across the 8 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2017★ 1 cited
Exponentially mixing, locally constant skew extensions of shift maps
Frédéric Naud
It is known that locally constant toral extensions of hyperbolic systems can never mix at an exponential rate. In this note we exhibit some examples of non-abelian locally constant…
math.DS2016
Lower bounds for the Ruelle spectrum of analytic expanding circle maps
Oscar Bandtlow, Frederic Naud
We prove that there exists a dense set of analytic expanding maps of the circle for which the Ruelle eigenvalues enjoy exponential lower bounds. The proof combines potential theore…
math.DS2011★ 1 cited
Heat kernel and the rate of mixing for compact extensions of expanding maps
Frédéric Naud
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…