3 papers
math.PR2020
Spine representations for non-compact models of random geometry
Jean-François Le Gall, Armand Riera
We provide a unified approach to the three main non-compact models of random geometry, namely the Brownian plane, the infinite-volume Brownian disk, and the Brownian half-plane. Th…
math.PR2018
Brownian geometry
Jean-François Le Gall
We present different continuous models of random geometry that have been introduced and studied in the recent years. In particular, we consider the Brownian map, which is the unive…
math.PR2000
Super-Brownian motion with reflecting historical paths
Krzysztof Burdzy, Jean-Francois Le Gall
We consider super-Brownian motion whose historical paths reflect from each other, unlike those of the usual historical super-Brownian motion. We prove tightness for the family of d…