Our next seminar will be held on Monday, March 30, from 3:30 p.m. to 4:30 p.m. (Rio de Janeiro local time).  The meeting will take place at room C116- Bloco C - CT – Instituto de Matemática – UFRJ. There will be no transmission online.

Speaker:   Katrin Gelfert (IM-UFRJ)

Title: Pushing Furstenberg's result to a limit

Abstract:

 Considering random products of independently and identically distributed SL(2,R) matrices, a classical result of Furstenberg establishes exponential growth, except in certain “degenerate” cases. An alternative perspective is to view this setting as a linear cocycle over a Bernoulli automorphism, with the dynamics given by the corresponding matrix multiplication. We investigate the limits of possible extensions of this phenomenon by showing that, for typical elliptic cocycles, there exist loosely Bernoulli automorphisms for which the maximal Lyapunov exponent vanishes. This is joint work with L. J. Díaz and M. Rams.

More complete information about the seminars can be found at

https://ppge.im.ufrj.br/seminarios-de-probabilidade/

Organizers: Giulio Iacobelli and Maria Eulalia Vares