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Thursday, January 20, 2005 - 3:15pm

Yevgeniy Kovchegov

UCLA

Location

University of Pennsylvania

4E19

A multi-particle generalization of edge-reinforced random walk (ERRW) is introduced. We observe that in multi-particle case, most of the ERRW techniques do not work: no Polya urn representation on acyclic graphs, no partial exchangeability. The recurrence of a two-point edge-reinforced process on a one-dimensional lattice is proved.