Probability and Stochastic Analysis Seminar  RSS

28/02/2024, 16:00 — 17:00 — Online
Quentin Berger, LPSM, Sorbonne Université, and DMA, Ecole Normale Supérieure, Paris

Some results about the Ising model on a Galton-Watson tree

The goal of my talk is to present some results on the Ising model on a Galton-Watson tree. I will start with a general introduction, recalling in particular the seminal results of Russell Lyons. I will the present the results obtained in collaboration with Irene Ayuso Ventura (University Paris-Est Créteil), which estimate the effect of a sparse external field or boundary condition on the magnetisation of the root.

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Except for a few of the oldest sessions these are from the Seminário de Probabilidade e Mecânica Estatística at IMPA which is co-sponsored by several institutions, in particular Instituto Superior Técnico.