Poisson approximation of the length spectrum of random surfaces

DOI10.1512/iumj.2018.67.7340zbMath1404.60026arXiv1605.00415OpenAlexW2963419161WikidataQ124827537 ScholiaQ124827537MaRDI QIDQ4962396

Christoph Thäle, Bram Petri

Publication date: 2 November 2018

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00415

zbMATH Keywords

stochastic geometryhyperbolic geometryPoisson approximationhyperbolic surfacelength spectrumChen-Stein methodrandom surface

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Combinatorial probability (60C05) General geometric structures on low-dimensional manifolds (57M50)

Related Items (7)

Sub-tree counts on hyperbolic random geometric graphs ⋮ THE SIMPLE SEPARATING SYSTOLE FOR HYPERBOLIC SURFACES OF LARGE GENUS ⋮ The topology and geometry of random square-tiled surfaces ⋮ A lower bound on the average genus of a 2-bridge knot ⋮ Random colorings in manifolds ⋮ Statistics of finite degree covers of torus knot complements ⋮ Lengths of closed geodesics on random surfaces of large genus

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