Convex minorants of Brownian paths and scaling limits of minimum spanning trees
数学专题报告
报告题目(Title)：Convex minorants of Brownian paths and scaling limits of minimum spanning trees
报告人(Speaker)：Nicolas Broutin教授（Sorbonne Université）
地点(Place)：后主楼1220
时间(Time)：2026年5月20日（周三）10:00-11:00
邀请人(Inviter)：何辉
报告摘要
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.
