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Séminaire de Probabilités
# Scaling limit of high-dimensional random spanning trees.

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Europe/Paris

Amphi Schwartz (IMT)
### Amphi Schwartz

#### IMT

Description

A spanning tree of a finite connected graph G is a connected subgraph of G that contains every vertex and no cycles. A well-known result of Aldous states that the scaling limit of the uniform spanning tree of the complete graph is the Brownian CRT. In fact, this statement is more general: the CRT is the scaling limit of uniform spanning trees for a large set of high-dimensional graphs. In this talk, we will explain this universal phenomenon using sampling algorithms. Time permitting, we may also discuss scaling limits of random spanning trees with non-uniform laws. Based on joint works with Asaf Nachmias and Matan Shalev.