Buongiorno a tutti,

Vorremmo segnalarvi che venerdì prossimo (23 Maggio) in aula 2AB45 (Torre Archimede, Università di Padova) ci sarà un seminario per il ciclo di seminari in Probabilità e Finanza di:

Matteo Sfragara (Università di Padova)
Title: Welcome seminar on random growth models
Date: May 23, 2025, at 14:30, 2AB45
Abstract: In this talk I will give an overview of my recent research activity on random growth models, mostly carried during my postdoc time at Stockholm University. We will first talk about the connection between chaos and concentration in models like first-passage percolation (FPP) and last-passage percolation (LPP), and we prove that they exhibit a chaotic behavior. This extends previous work on the topic, and illustrates that this is a phenomenon that can be expected more widely. The notion of ‘chaos' refers to the sensitivity of the optimal path (geodesic) when exposed to a slight perturbation. We will then shift our focus on competing first passage percolation on random graphs generated by the configuration model, where two infection types compete to invade the vertices in the graph spreading via nearest neighbors. Assuming that the degrees follow a power-law distribution with exponent τ, we present results in the case of finite variance (τ>3), in the case of finite mean but infinite variance (2<τ<3) and in the case of infinite mean (1<τ<2): is it possible for the two infection types to coexist as the number of vertices n tends to infinity? I will conclude with a brief mention to some ongoing research projects.

Vi aspettiamo numerosi!

Alberto Chiarini e Alekos Cecchin

Sito web del seminario: https://www.math.unipd.it/~chiarini/seminars/