Asymptotics and limit theorems for horocycle ergodic integrals à la Ratner (with an appendix by Emilio Corso)

DOI10.5802/jep.219OpenAlexW4321490518WikidataQ122925341 ScholiaQ122925341MaRDI QIDQ2687007

Davide Ravotti

Publication date: 1 March 2023

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02090

zbMATH Keywords

ergodic averageshorocycle flowdistributional limit theorems

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous flows (37A17)

Cites Work

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