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Aug 19, 2022 - Results on the contact process with dynamic edges or under renewals - Speaker: Daniel Ungaretti (Universidade Federal do Rio de Janeiro)

When Aug 19, 2022
from 02:00 PM to 04:00 PM
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UFSCar/USP joint Seminar

Announcement file.

Scheduled for:

Aug 19, 2022, at 2:00 pm
(GMT-03:00) Brasilia Standard Time - Sao Paulo

Video call link HERE.

Speaker:
Daniel Ungaretti (Universidade Federal do Rio de Janeiro)

Title:
Results on the contact process with dynamic edges or under renewals

Abstract:
The contact process is a relatively simple model to represent the spread of an infection in a population. Individuals can be either healthy or infected and the process evolves in time, allowing for infected individuals to become healthy and for healthy individuals to be infected by some of their infected neighbors. The process can be visualized by a graphical representation that depicts the (random) collection of cure times and transmission times. I will present two variants of the contact process that are built by considering different distributions for the cure and transmission marks in this graphical representation: Contact Process on Dynamic Edges introduced by Linker and Remenik and a generalization of the Renewal Contact Process introduced by Fontes, Marchetti, Mountford and Vares. In both models we will see ideas of how one can verify if there is a positive probability that the infection survives forever or not, depending on the model's parameters.

Bio:
Graduação e mestrado na UFMG, doutorado pelo IMPA, pós-doc na Unicamp, UFMG e USP, atualmente professor na UFRJ. Atualmente trabalha com modelos de percolação, passeios aleatórios e processos de contato.

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