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• W3210361185 startingPage "643" @default.
• W3210361185 abstract "Recent work has shown that for $gamma in (0,2)$, a Liouville quantum gravity (LQG) surface can be endowed with a canonical metric. We prove several results concerning geodesics for this metric. In particular, we completely classify the possible networks of geodesics from a typical point on the surface to an arbitrary point on the surface, as well as the types of networks of geodesics joining two points which occur for a dense set of pairs of points on the surface. This latter result is the $gamma$-LQG analog of the classification of geodesic networks in the Brownian map due to Angel, Kolesnik, and Miermont (2017). We also show that there is a deterministic $minmathbb N$ such that almost surely any two points are joined by at most $m$ distinct LQG geodesics." @default.
• W3210361185 created "2021-11-08" @default.
• W3210361185 creator A5035621341 @default.
• W3210361185 date "2021-10-15" @default.
• W3210361185 modified "2023-10-16" @default.
• W3210361185 title "Geodesic networks in Liouville quantum gravity surfaces" @default.
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• W3210361185 doi "https://doi.org/10.2140/pmp.2021.2.643" @default.
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