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Recurso libre

The Liouville and the intersection properties are equivalent for planar graphs
Benjamini, Itai; Weizmann Institute Rehovot - Curien, Nicolas; ÉNS Paris - Georgakopoulos, Agelos; Weizmann Institute Rehovot

Formato:	Peer-reviewed Article
Enlaces:	It is shown that if a planar graph admits no non-constant bounded harmonic function then the trajectories of two independent simple random walks intersect almost surely.
Fecha:	2012-01-02
Recurso:	Electronic communications in probability

Recurso libre

Algebraically recurrent random walks on groups
Benjamini, Itai; Weizmann - Finucane, Hilary; MIT - Tessera, Romain; ÉNS Lyon

Formato:	Peer-reviewed Article
Enlaces:	Initial steps are presented towards understanding which finitely generated groups are almost surely generated as a semigroup by the path of a random walk on the group.
Fecha:	2013-01-03
Recurso:	Electronic communications in probability