Spine representations for non-compact models of random geometry

Autor: Gall, Jean-François Le, Riera, Armand
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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. This approach allows us to investigate relations between these models, and in particular to prove that complements of hulls in the Brownian plane are infinite-volume Brownian disks.
Comment: 53 pages
Databáze: arXiv