Séminaire Poincaré XXIV - Gravité quantique

Collection Séminaire Poincaré XXIV - Gravité quantique

Organizer(s)
Date(s) 16/12/2023 - 16/12/2023
linked URL http://www.bourbaphy.fr
1 6

Géométrie des surfaces browniennes

By Jean-François Le Gall

We discuss the random metric spaces called Brownian surfaces, which arise as scaling limits of large graphs embedded in the sphere or in a surface of higher genus. In particular, we give a detailed construction of the Brownian sphere, and we briefly present recent results of Bettinelli and Miermont concerning Brownian surfaces with holes in higher genus. We also state a few open problems and conjectures.

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