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math.DS2024
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.DS2024★ 1 cited
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…