[ABE-L] Minicurso sobre Branching random walks and related processes no ICMC-USP - 01, 05 e 06/09 (10h00 a 12h00)

[Pablo Martin Rodriguez]

Boa tarde a todos,

Esta mensagem é para divulgar um mini-curso que será realizado no
ICMC-USP sobre o tópico de processos de ramificação e passeios
aleatórios com ramificação. O curso será ministrado pelos
pesquisadores Daniela Bertacchi (Università di Milano-Bicocca) e Fabio
Zucca (Politecnico di Milano).O curso iniciará amanhã Sexta 01 de
Setembro das 10h00 às 12h00 no *Auditório* Prof. *Fernão* Stella de
Rodrigues Germano, será ministrado em inglês e estará direcionado a
alunos dos últimos anos da graduação, alunos de pós-graduação e
pesquisadores interessados.
Estão todos convidados! Segue a informação completa:

*An introduction to branching random walks and related processes
Daniela Bertacchi (Università di Milano-Bicocca) and Fabio Zucca
(Politecnico di Milano)
*
*First lesson* (sexta 01/09 – 10h00 a 12h00, *Auditório* Prof.
*Fernão* Stella de Rodrigues Germano)Title: Branching processes,
branching random walks and generating functions
Abstract:In this lesson, we recall the classical Galton-Watson process
and the relation between its long-term behaviour and the fixed points
of its generating function. We introduce various processes which
generalize the GW process and focus on branching random walks in
discrete and  continuous time. We define their generating function and
their possible long-term behaviour.
*Second lesson* (terça 05/09 – 10h00 a 12h00, *Auditório* Prof.
*Fernão* Stella de Rodrigues Germano)Title: Characterizations of the
behaviour of branching random walksand fixed points of generating
functions
Abstract: We introduce various characterizations of survival of
branching random walks and discuss their relationship with fixed
points of the generating function. The set of fixed points is
investigated. In the case of continuous-time branching random walks,
we discuss how to characterize the critical parameters.

*Third lesson* (quarta 06/09 – 10h00 a 12h00, *Auditório* Prof.
*Fernão* Stella de Rodrigues Germano)Title: Part 1. Linking multi-type
contact processes and branching random walksPart 2. Branching
processes in varying environments and applications
Abstract:In the case of continuous-time branching random walks, a
natural question is whether the critical parameters can be seen as
approximations of the critical parameters of multi-type contact
processes with several types of particles. We discuss how one can
prove that the answer is affirmative in several cases, including
processes living on the percolation cluster of the d-dimensional
lattice.Another generalization of the GW process are branching
processes in varying environment: we discuss some recent results and
their applications.

Um abraço

Pablo Rodríguez
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