[ABE-L] Seminário de probabilidade e processos estocásticos - IME-USP - 09/04 - 15h

[Aline Duarte]

Caros colegas,

na próxima *sexta-feira*, 9 de abril, às *15h, *acontecerá mais um
seminário do ciclo SPSP-IME-USP de 2021. As informações e os vídeos dos
seminários estão disponíveis em https://sites.google.com/usp.br/psps-ime-usp
.
O link para o evento segue abaixo e ficará disponível também na página do
evento no dia do seminário.

Um abraço,
Aline Duarte
-------------------------------


*Seminar on Probability and Stochastic Processes*
Speaker: Daniel Valesin - (University of Groningen)
Friday, *April 9th - 3pm*
Live on Google Meets: https://meet.google.com/ncm-neqz-dut
Video recording will be available on:
https://sites.google.com/usp.br/psps-ime-usp

Title: Metastability of the contact process on power law random graphs

Abstract: We will discuss the contact process, a model for the spread of an
infection in a population, on random graph models in which the degree
distribution is a power law. In such graphs, the contact process exhibits
metastable behavior (that is, the infection stays active for a very long
time) even if the infection rate is close to zero. We will focus on two
such random graph models: the configuration model and random hyperbolic
graphs. In both these cases, we discuss aspects of the behavior of the
process, including the distribution of the extinction time of the infection
and the density of infected vertices in typical times of activity. We show
in particular that the critical exponent of this density, as the infection
rate is taken to zero, is the same for both random graph models, suggesting
some universality phenomenon. We will touch on joint work with Amitai
Linker, Dieter Mitsche, Thomas Mountford, Jean-Christophe Mourrat, Bruno
Schapira and Qiang Yao.
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