33 citations · 102 across the 19 of their papers we have counts for
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math.DS2016★ 1 cited
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…
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…