Title:  Slow phase for the ARW on the unidimensional ring

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)

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