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math.DS2005★ 1 cited
Fredholm determinants, Anosov maps and Ruelle resonances
Carlangelo Liverani
I show that the dynamical determinant, associated to an Anosov diffeomorphism, is the Fredholm determinant of the corresponding Ruelle-Perron-Frobenius transfer operator acting on…
math.DS2004★ 1 cited
Banach spaces adapted to Anosov systems
Sebastien Gouezel, Carlangelo Liverani
We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov map on classes of functions with high smoothness. To this end we construct anisotro…