The tangle-free hypothesis on random hyperbolic surfaces

Laura Monk, Joe Thomas

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
JournalInternational Mathematics Research Notices
Publication statusPublished - 1 Sept 2021


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