abelian covers 1maharm measures 1pollicott-ruelle resonances 1pseudo-anosov renormalization 1translation flows 1twisted transfer operators 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DS2026
Maharam-Pollicott-Ruelle resonances and self-similar translation flows on abelian covers
Mauro Artigiani, Roberto Castorrini, Davide Ravotti +1
The paper analyzes self‑similar translation flows on abelian (ℤ^d) covers of compact translation surfaces, using twisted transfer operators to study ergodic properties with respect…
math.DS2026
Horocycle flows on abelian covers of surfaces of negative curvature
Roberto Castorrini, Davide Ravotti
We consider the unit speed parametrization of the horocycle flow on infinite Abelian covers of compact surfaces of negative curvature. We prove an asymptotic result for the ergodic…
math.DS2025
On asymptotic expansions of ergodic integrals for -extensions of translation flows
Henk Bruin, Charles Fougeron, Davide Ravotti +1
We obtain expansions of ergodic integrals for -covers of compact self-similar translation flows, and as a consequence we obtain a form of weak rational ergodicity with optima…