Theoretical Statistics and Mathematics Unit, ISI Delhi
Unusual day and time.
Several variants of the problems on invariant ergodic measures will be given: to find
--- the set of invariant measure for Markov processes;
--- the list of traces of *-algebras;
--- the list of invariant measure for the action of given amenable group;
--- the boundary of the random walks;
--- the list of invariant random subgroups etc.
All such problems can be considered in the framework of probabilistic analysis of graded graphs. We distinguish such problems on two classes: standard, which have Borel set of parameters and nonstandard.