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math.DS2018★ 14 cited
Horocycle averages on closed manifolds and transfer operators
Alexander Adam, Viviane Baladi
We adapt to Anosov flows on compact manifolds a construction for discrete-time hyperbolic dynamics (), obtaining anisotropic Banach or Hilbert spaces on which the…
math.DS2016★ 16 cited
Generic non-trivial resonances for Anosov diffeomorphisms
Alexander Adam
We study real analytic perturbations of hyperbolic linear automorphisms on the 2-torus. The Koopman and the transfer operator are nuclear of order 0 when acting on a suitable Hilbe…