2019
May
07

# Anatoly Vershik (St. Petersburg) Соmbinatorial (locally finite) еncoding of the Bernoulli processes with infinite entropy.

2:00pm to 3:00pm

Abstract.
The realization of m.p automorphisms as transfer on the space of the
paths on the graded graphs allows to use new kind of encoding
of one-sided Bernoulli shift.
I will start with simple example how to realize Bernoulli shift in
the locally finite space (graph) $\prod_n {1,2,\dots n}$ (triangle
compact.)
Much more complicated example connected to old papers by
S.Kerov-Vershik and recent by Romik-Sniady in which one-sided
Bernoulli shift is
realized as Schutzenberger transfer on the space of infinite Young
tableaux with Plancherel Measure. These examples open series of