The diameter of random Belyĭ surfaces

DOI10.2140/agt.2021.21.2929zbMath1484.57022arXiv1910.11809OpenAlexW3214994655MaRDI QIDQ2059704

Bram Petri, Thomas Budzinski, Nicolas Curien

Publication date: 14 December 2021

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11809

zbMATH Keywords

diameterhyperbolic surfacesrandom surfaces

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) General geometric structures on low-dimensional manifolds (57M50)

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Cites Work

• Unnamed Item
• Growth of Weil-Petersson volumes and random hyperbolic surface of large genus
• Pants decompositions of random surfaces
• Poisson-Dirichlet distribution for random Belyi surfaces
• On a surface formed by randomly gluing together polygonal discs
• A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
• Weil-Petersson volumes
• Eigenvalue comparison theorems and its geometric applications
• Platonic surfaces
• Counting 1-vertex triangulations of oriented surfaces
• The diameter of random regular graphs
• Über den ersten Eigenwert des Laplace-Operators auf kompakten Riemannschen Flächen
• Random construction of Riemann surfaces
• On the minimal diameter of closed hyperbolic surfaces
• A note on the isoperimetric constant
• A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces