91 citations · 371 across the 22 of their papers we have counts for
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math.DS2013★ 12 cited
The semiclassical zeta function for geodesic flows on negatively curved manifolds
Frédéric Faure, Masato Tsujii
We consider the semi-classical (or Gutzwiller-Voros) zeta function for contact Anosov flows. Analyzing the spectrum of transfer operators associated to the flow, we prov…
math-ph2013★ 6 cited
Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps
Jean-François Arnoldi, Frédéric Faure, Tobias Weich
We consider a simple model of an open partially expanding map. Its trapped set K in phase space is a fractal set. We first show that there is a well defined discrete spectrum of Ru…
math.DS2013★ 12 cited
Band structure of the Ruelle spectrum of contact Anosov flows
Frédéric Faure, Masato Tsujii
If X is a contact Anosov vector field on a smooth compact manifold M and V is a smooth function on M, it is known that the differential operator A=-X+V has some discrete spectrum c…