Large genus asymptotics for lengths of separating closed geodesics on random surfaces

Xin Nie, Yunhui Wu, Yuhao Xue

Type: Preprint

Publication Date: 2020-01-01

Citations: 6

DOI: https://doi.org/10.48550/arxiv.2009.07538

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Works Cited by This (26)

Action	Title	Year	Authors
+	On the large genus asymptotics of Weil-Petersson volumes	2008	Peter Zograf
+	On the period matrix of a Riemann surface of large genus (with an Appendix by J.H. Conway and N.J.A. Sloane)	1994	Peter Buser Peter Sarnak
+	Weil-Petersson volumes and intersection theory on the moduli space of curves	2006	Maryam Mirzakhani
+ PDF Chat	Weil-Petersson volumes	1992	Robert Penner
+	Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces	2006	Maryam Mirzakhani
+	Comparison of hyperbolic and extremal lengths	1985	Bernard Maskit
+ PDF Chat	Asymptotic bounds for separating systoles on surfaces	2008	Stéphane Sabourau
+ PDF Chat	Estimates of Weil-Petersson Volumes¶via Effective Divisors	2001	Georg Schumacher Stefano Trapani
+ PDF Chat	An explicit upper bound for Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces	2001	Samuel Grushevsky
+	On Weil-Petersson Volumes and Geometry of Random Hyperbolic Surfaces	2011	Maryam Mirzakhani