Horocycle Dynamics

• Autore: Bainbridge Matthew
• Pubblicazione: Providence : , : American Mathematical Society, , 2022; ©2022
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (112 pages)
• Disciplina: 515/.39; 515.39
• Soggetto topico: Topological dynamics; Ergodic theory; Random dynamical systems; Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.); Functions of a complex variable -- Riemann surfaces -- Differentials on Riemann surfaces
• Classificazione: 37D4030F30
• Altri autori: SmillieJohn WeissBarak
• Sommario/riassunto: "We study dynamics of the horocycle flow on strata of translation surfaces, introduce new invariants for ergodic measures, and analyze the interaction of the horocycle flow and real Rel surgeries. We use this analysis to complete and extend results of Calta and Wortman classifying horocycle-invariant measures in the eigenform loci. In addition we classify the horocycle orbit-closures and prove that every orbit is equidistributed in its orbit-closure. We also prove equidistribution results describing limits of sequences of measures. Our results have applications to the problem of counting closed trajectories on translation surfaces of genus 2"--
• Titolo autorizzato: Horocycle Dynamics
• ISBN: 9781470472849; 1470472848
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910963052203321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society