33 citations · 102 across the 19 of their papers we have counts for
6 papers · 1 filter
Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay
Jialun Li, Frederic Naud, Wenyu Pan
Let be a Zariski dense Kleinian Schottky subgroup of PSL2(C). Let be its limit set, endowed with a Patterson-Sullivan measure supported on . We show that the F…
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…
On the rate of mixing of circle extensions of Anosov maps
Frédéric Naud
We study circle extensions of analytic Anosov maps on the two torus: these are examples of partially hyperbolic maps for which the qualitative ergodic theory is well understood. In…
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…
A local trace formula for Anosov flows (with an appendix by Frédéric Naud)
Long Jin, Frédéric Naud, Maciej Zworski
We prove a local trace formula for Anosov flows. It relates Pollicott--Ruelle resonances to the periods of closed orbits. As an application, we show that the counting function for…
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…