SQUARE-INTEGRABILITY OF THE MIRZAKHANI FUNCTION AND STATISTICS OF SIMPLE CLOSED GEODESICS ON HYPERBOLIC SURFACES

DOI10.1017/fms.2019.49zbMath1442.30046arXiv1907.06287OpenAlexW3004616532MaRDI QIDQ5214745

Francisco Arana-Herrera, Jayadev S. Athreya

Publication date: 5 February 2020

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.06287

zbMATH Keywords

moduli spacehyperbolic geodesicsgeodesic laminationWeil-Petersson volumeThurston measureMirzakhani function

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

Counting hyperbolic multigeodesics with respect to the lengths of individual components and asymptotics of Weil-Petersson volumes, Equidistribution of families of expanding horospheres on moduli spaces of hyperbolic surfaces

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