Title: One dimensional contact process with modified border conditions.
Speaker: Enrique D. Andjel.
Date: 02/10/2023
Horário: 3:30 p.m. to 4:30 p.m (Rio de Janeiro local time).
Local: C116 - Bloco C - CT – Instituto de Matemática – UFRJ. There will be no transmission online.

Abstract: In this joint work with Leonardo Rolla we study a one-dimensional contact process with two infection parameters. One of these parameters gives the infection rates at the boundaries of a finite infected region and the other one gives the rates within that region. We prove that the critical value of each of these parameters is a strictly monotone continuous function of the other parameter. We also show that if one of these parameters is equal to the critical value of the standard contact process and the other parameter is strictly larger, then the infection starting from a single point has a positive probability of surviving.

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Sincerely,
Organizers: Giulio Iacobelli e Maria Eulalia Vares.