mini-course of Professor Frank den Hollander

We are glad to announce that next week (March 9 to 11) in GSSI, Professor Frank den Hollander (Leiden University) will give a mini-course on

Interacting particle systems on random graphs

Venue

Main Lecture Hall, GSSI

Abstract

The goal of this mini-course is to sketch what is known and not known about interacting particle systems on random graphs. In particular, the mini-course highlights the role of sparse versus dense graphs, exhibits the relevant time scales for critical phenomena and identifies how these depend on the size of the graph, lists some open problems, and indicates some lines of future research. After reviewing the generic properties of interacting particle systems on regular lattice, three specific model on two classes of random graphs will be considered: configuration random graphs and Erdös--Rényi random graphs.

Main reference:

https://doi.org/10.21711/217504322024/em402

Detailed schedule

Lecture 1   March 9   10:45 - 12:15

Background and motivation for interacting particle systems on d-dim lattice, phase transitions and critical phenomena, key questions and core tool.

Lecture 2 & 3   March 10   9:00 - 10:30 & 16:00 - 17:30

Stochastic Ising model & Voter model

Lecture 4   March 11   10:45 - 12:15

Contact process

If you would like to follow online:

https://gssi-it.zoom.us/j/84521937298?pwd=cSPyhltXuWTXOBbC7LJmorgo5sEwb5.1

ID riunione: 845 2193 7298

Codice d’accesso: 355615