Systole growth for finite area hyperbolic surfaces

DOI10.5802/afst.1402zbMath1295.30093arXiv1201.3468OpenAlexW2963441390MaRDI QIDQ2449691

Hugo Parlier, Eran Makover, Florent Balacheff

Publication date: 9 May 2014

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3468

zbMATH Keywords

Rieman surfacesystole function

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10)

Related Items (5)

Growth of the Weil-Petersson inradius of moduli space ⋮ Large genus asymptotics for lengths of separating closed geodesics on random surfaces ⋮ Graphs of systoles on hyperbolic surfaces ⋮ Bolza Quaternion Order and Asymptotics of Systoles Along Congruence Subgroups ⋮ Systoles in translation surfaces

Cites Work

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• On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
• Congruence subgroups and maximal Riemann surfaces
• Maximal cusps, collars, and systoles in hyperbolic surfaces
• A Remark on Mahler's Compactness Theorem

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