Horocycle averages on closed manifolds and transfer operators

A Adam, V Baladi - Tunisian Journal of Mathematics, 2022 - msp.org
We study the ergodic integrals of the horocycle flows h ρ of C r codimension one mixing
Anosov flows. In dimension three, for any suitably bunched C 3 contact Anosov flow with …

Stretched-exponential mixing for surface semiflows and Anosov flows

D Zhang - arXiv preprint arXiv:2406.12759, 2024 - arxiv.org
For a surface semiflow that is a suspension of a\(C^{1+\alpha}\) expanding Markov interval
map, we prove that, under the assumptions that the roof function is Lipschitz continuous and …