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- W4290972995 abstract "Cutting a hyperbolic surface X along a simple closed multi-geodesic results in a hyperbolic structure on the complementary subsurface. We study the distribution of the shapes of these subsurfaces in moduli space as boundary lengths go to infinity, showing that they equidistribute to the Kontsevich measure on a corresponding moduli space of metric ribbon graphs. In particular, random subsurfaces look like random ribbon graphs, a law which does not depend on the initial choice of X. This result strengthens Mirzakhani's famous simple closed multi-geodesic counting theorems for hyperbolic surfaces." @default.
- W4290972995 created "2022-08-13" @default.
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- W4290972995 date "2022-08-08" @default.
- W4290972995 modified "2023-09-29" @default.
- W4290972995 title "The shapes of complementary subsurfaces to simple closed hyperbolic multi-geodesics" @default.
- W4290972995 doi "https://doi.org/10.48550/arxiv.2208.04339" @default.
- W4290972995 hasPublicationYear "2022" @default.
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