69 citations · 85 across the 26 of their papers we have counts for
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math.DS2021
Local large deviations for periodic infinite horizon Lorentz gases
Ian Melbourne, Francoise Pene, Dalia Terhesiu
We prove local large deviations for the periodic infinite horizon Lorentz gas viewed as a -cover () of a dispersing billiard. In addition to this specific exa…
math.DS2021
Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems
Ian Melbourne, Nicolo Paviato, Dalia Terhesiu
We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral gap. Such a space cannot be emb…
math.DS2021
Decay in norm of transfer operators for semiflows
Ian Melbourne, Nicolo Paviato, Dalia Terhesiu
We establish exponential decay in Hölder norm of transfer operators applied to smooth observables of uniformly and nonuniformly expanding semiflows with exponential decay of correl…