Decay in norm of transfer operators for semiflows
We establish exponential decay in Hölder norm of transfer operators applied to smooth observables of uniformly and nonuniformly expanding semiflows with exponential decay of correlations.
math.DS↗
arXiv subjects
Nicolo Paviato
Publications and source records attributed to Nicolo Paviato.
Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems
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 embedded in a Hölder space with Hölder exponent greater than 1/2 unless it consists entirely of coboundaries.
math.DS↗