100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Eleanora Archer

Scaling limit of high-dimensional uniform spanning trees
Tuesday, 2 May, 2023 - 14:30 to 15:30
Résumé : 

A spanning tree of a finite connected graph $G$ is a connected subgraph of $G$ that touches every vertex and contains no cycles. In this talk we will consider uniformly drawn spanning trees of high-dimensional graphs, and explain why, under appropriate rescaling, they converge in distribution as metric-measure spaces to Aldous' Brownian CRT. This extends an earlier result of Peres and Revelle (2004) who previously showed a form of finite-dimensional convergence. Based on joint works with Asaf Nachmias and Matan Shalev.

Institution de l'orateur : 
Thème de recherche : 
Salle : 
logo uga logo cnrs