Effective counting of simple closed geodesics on hyperbolic surfaces

DOI10.4171/JEMS/1144zbMath1491.37033arXiv1905.04435OpenAlexW3206062608WikidataQ115481589 ScholiaQ115481589MaRDI QIDQ2143205

Alex Eskin, Amir Mohammadi, Maryam Mirzakhani

Publication date: 31 May 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04435

zbMATH Keywords

negative curvaturehyperbolic surfacesimple closed geodesics

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (6)

Counting hyperbolic multigeodesics with respect to the lengths of individual components and asymptotics of Weil-Petersson volumes ⋮ Effective mapping class group dynamics. I: Counting lattice points in Teichmüller space ⋮ Simple closed geodesics in dimensions \(\geq 3\) ⋮ Enumerative geometry of surfaces. Abstracts from the workshop held June 13--19, 2021 (hybrid meeting) ⋮ SQUARE-INTEGRABILITY OF THE MIRZAKHANI FUNCTION AND STATISTICS OF SIMPLE CLOSED GEODESICS ON HYPERBOLIC SURFACES ⋮ ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES

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