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- W1566670045 abstract "It is known that any infinite simplicial complex homeomorphic to the plane and satisfying a couple of other conditions is the nerve of a circle packing of either the plane or the disc (and not of both). We prove that such a complex is the nerve of a packing of the plane or the disc according as the simple random walk on its 1-skeleton is recurrent or transient, and discuss some applications. We also prove a criterion for transience of simple random walk on the 1-skeleton of a triangulation of the plane, in terms of average degrees of suitable sets of vertices." @default.
- W1566670045 created "2016-06-24" @default.
- W1566670045 creator A5023294832 @default.
- W1566670045 date "1998-01-01" @default.
- W1566670045 modified "2023-09-26" @default.
- W1566670045 title "A recurrence/transience result for circle packings" @default.
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- W1566670045 doi "https://doi.org/10.1090/s0002-9939-98-03353-x" @default.
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