Equidistribution of families of expanding horospheres on moduli spaces of hyperbolic surfaces

DOI10.1007/s10711-020-00534-6zbMath1461.30104arXiv1912.03856OpenAlexW3024901132MaRDI QIDQ1995589

Francisco Arana-Herrera

Publication date: 24 February 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03856

zbMATH Keywords

asymptotic equidistribution of closed geodesicsmoduli space of closed hyperbolic surfaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (6)

Masur-Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves ⋮ Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ Counting hyperbolic multigeodesics with respect to the lengths of individual components and asymptotics of Weil-Petersson volumes ⋮ SQUARE-INTEGRABILITY OF THE MIRZAKHANI FUNCTION AND STATISTICS OF SIMPLE CLOSED GEODESICS ON HYPERBOLIC SURFACES ⋮ Length statistics of random multicurves on closed hyperbolic surfaces ⋮ Counting mapping class group orbits under shearing coordinates

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