Planarity and non-separating cycles in uniform high genus quadrangulations

DOI10.1007/s00440-021-01050-8zbMath1489.60017arXiv2012.06512OpenAlexW3147519789MaRDI QIDQ2128109

Baptiste Louf

Publication date: 21 April 2022

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.06512

zbMATH Keywords

mapscombinatoricsprobabilityhigh genusnon-separating cyclesdiscrete hyperbolic geometryplanarity radiusrandom quadrangulation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Random walks on graphs (05C81)

Related Items (5)

Large expanders in high genus unicellular maps ⋮ Short cycles in high genus unicellular maps ⋮ Irreducible metric maps and Weil-Petersson volumes ⋮ Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ Unicellular maps vs. hyperbolic surfaces in large genus: simple closed curves

Cites Work

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• A Census of Planar Maps

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