Convex minorants of Brownian paths and scaling limits of minimum spanning trees

Speaker: Nicolas Broutin，索邦大学            

Inviter: 施展 研究员

Title: Convex minorants of Brownian paths and scaling limits of minimum spanning trees

Language: English

Time & Venue: 2026.05.16  11:00-12:00  南楼N620

Abstract: I will present a family of random trees which are constructed from the convex minorants of Brownian functions. When the function is a Brownian excursion, this construction yields a Brownian continuum random tree and unifies the points of view of Aldous-Pitman and Bertoin on the additive coalescent. Starting from a certain modified Brownian motion yields an object related to the multiplicative coalescent, and to the minimum spanning tree of a complete graph with iid uniform edge weights. This is based on joint work with J.-F. Marckert.