Speaker: Alexandre Gaudilliere

(CNRS Marseille, France)

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.