<div dir="ltr"><pre class="gmail-western" style="margin-bottom:0.2in">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 walks and 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 walks Part 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. </pre><pre class="gmail-western" style="margin-bottom:0.2in">Um abraço </pre><pre class="gmail-western" style="margin-bottom:0.2in">Pablo Rodríguez </pre></div>