[ABE-L] Fwd: Seminário de Probabilidade - 02 de dezembro (segunda-feira)
Maria Eulalia Vares
eulalia em im.ufrj.br
Ter Nov 26 09:05:04 -03 2024
Prezados colegas,
Our next seminar will be held on Monday, *December 2*, from *3:30 p.m. to
4:30 p.m*. (Rio de Janeiro local time). This meeting will take place at
room *C116 - Bloco C - CT** – Instituto de Matemática – UFRJ. *There will
be no transmission online.
Speaker: * Célio Augusto Terra de Souza (UFMG and UFRJ)*
Title: *Slow phase for the ARW on the unidimensional ring*
Abstract: We study Activated Random Walks on a unidimensional ring
\mathbb{Z}/N \mathbb{Z}. In this conservative model, a number \zeta* N of
particles is distributed on the unidimensional ring. Those particles are
either active or sleeping. Active particles perform independent
continuous-time random walks at rate 1 and fall asleep at rate \lambda.
Sleeping particles do not move. If \zeta<1, this system will eventually be
attracted to some configuration with only sleeping particles. We will prove
that, for every sleeping rate \lambda, activity will be sustained for a
long time (exponential in the size of the block) if the density \zeta is
close enough to 1.
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
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