The tangle-free hypothesis on random hyperbolic surfaces

Laura  Monk; Joe Thomas

doi:10.1093/imrn/rnab160

The tangle-free hypothesis on random hyperbolic surfaces

Laura Monk, Joe Thomas

Department of Mathematics

University of Strasbourg II (Human Sciences)

Research output: Contribution to journal › Article › peer-review

Abstract

This article introduces the notion of L-tangle-free compact hyperbolic surfaces, inspired by the identically named property for regular graphs. Random surfaces of genus g⁠, picked with the Weil–Petersson probability measure, are (alogg)-tangle-free for any a

Original language	English
Journal	International Mathematics Research Notices
DOIs	https://doi.org/10.1093/imrn/rnab160
Publication status	Published - 1 Sept 2021

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title = "The tangle-free hypothesis on random hyperbolic surfaces",

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The tangle-free hypothesis on random hyperbolic surfaces

Abstract

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