Speaker: Alexandre Gaudilliere (CNRS Marseille, France) Martedi' 11 Giugno 2019 ORE 14:30 Dipartimento di Matematica e Fisica Universita' degli Studi Roma Tre Largo San Leonardo Murialdo,1 - Pal.C - Aula 211 Titolo: Random forests and Markovian spectra Abstract: Starting from a theorem of Michelli and Willoughby we will see how some loop-erased random walk make a bridge between the spanning forest of a graph and the spectrum of its Laplacian. We will give more examples of the links between these two sets, introducing in particular a fragmentation and coalescence process that allows for the study of this spectrum from a probabilistic point of view.