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Two Badly Behaved Percolation Processes on a Nonunimodular Graph

Olle Häggström (Institutionen för matematiska vetenskaper, matematisk statistik)
Journal of Theoretical Probability (0894-9840). Vol. 26 (2013), 4, p. 1165-1180.
[Artikel, refereegranskad vetenskaplig]

We provide nonunimodular counterexamples to two properties that are well known for automorphism invariant percolation on unimodular transitive graphs. The first property is that the number of encounter points in an infinite cluster is almost surely 0 or a. The second property is that speed of random walk on an infinite cluster is almost surely well defined.

Nyckelord: Percolation, Random walk, Encounter points, Unimodularity, Mass, transport, invariant percolation, infinite clusters, spanning forests, uniqueness, trees

Denna post skapades 2013-11-14.
CPL Pubid: 186665


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Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)



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