Peeling the Brownian half-plane

• 成果类型: Article
• 署名作者: Le Gall, Jean-Francois; Riera, Armand
• 署名单位: Universite Paris Cite; Sorbonne Universite
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051; 1432-2064
• DOI: 10.1007/s00440-025-01427-z
• 发表日期: 2026-06
• 页码: 369-411
• 关键词: Brownian half-plane; Brownian disk; hull; Peeling; MAPS

摘要

We establish a new spatial Markov property of the Brownian half-plane. According to this property, if one removes a hull centered at a boundary point, the remaining space equipped with an intrinsic metric is still a Brownian half-plane, which is independent of the part that has been removed. This is an analog of the well-known peeling procedure for random planar maps. We also investigate several distributional properties of hulls centered at a boundary point, and we provide a new construction of the Brownian half-plane giving information about distances from a half-boundary.