Thursday, July 11, 2019 - 10:15 in T2-227
Random walks on groups and the absolute
A talk in the Oberseminar Geometric Analysis series by
Anatoly Vershik from St.Petersburg
| Abstract: |
An important problem in the theory of random processes and random fields (Dynkin, Dobrushin etc.) is to describe the probability measures with given co-transition distributions, e.g. to find all Markov processes with the same co-transition distributions as a given Markov process. The set of all such measures is referred to as the Absolute. This problem is solved on certain groups, including commutative groups, nilpotent groups, trees. Connections with the theory of harmonic functions, Poisson-Furstenberg boundaries and others will be explained.
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