THE SIMPLE SEPARATING SYSTOLE FOR HYPERBOLIC SURFACES OF LARGE GENUS

DOI10.1017/S1474748021000190zbMath1505.32024arXiv2012.03718OpenAlexW3112787502WikidataQ115562683 ScholiaQ115562683MaRDI QIDQ5056297

Hugo Parlier, Yunhui Wu, Yuhao Xue

Publication date: 8 December 2022

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03718

zbMATH Keywords

Weil-Petersson volumesrandom surfacessimple separating systole

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50)

Related Items

Large genus asymptotics for lengths of separating closed geodesics on random surfaces ⋮ Towards optimal spectral gaps in large genus

Cites Work

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• Growth of Weil-Petersson volumes and random hyperbolic surface of large genus
• Pants decompositions of random surfaces
• Filling Riemannian manifolds
• The Fenchel-Nielsen deformation
• Lengths of closed geodesics on random surfaces of large genus
• Asymptotic bounds for separating systoles on surfaces
• Random construction of Riemann surfaces
• Poisson approximation of the length spectrum of random surfaces
• Random regular graphs and the systole of a random surface
• Geometry and spectra of compact Riemann surfaces