[ABE-L] Seminário de Probabilidade - IM-UFRJ - 30/03/2026

[Maria Eulalia Vares]

Dear colleagues,



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/

Sincerely,

Organizers: Giulio Iacobelli and Maria Eulalia Vares



-- 
Maria Eulalia Vares
Professora Titular - Instituto de Matemática - UFRJ
Coordenadora do Programa de Pós-Graduação em Estatística
https://ppge.im.ufrj.br/
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