Spine representations for non-compact models of random geometry

• 成果类型: Article
• 署名作者: Le Gall, Jean-Francois; Riera, Armand
• 署名单位: Universite Paris Cite
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-021-01069-x
• 发表日期: 2021
• 页码: 571-645
• 关键词: bipartite planar maps; SCALING LIMITS; quadrangulations

摘要

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.