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<p>This paper is the sequel to another with the same name (Buttigieg et al. Comput. Methods Funct. Theory 23:469–488, 2023), and is concerned with results of the same type. We deduce a result on the moments of the exit time of Brownian motion from domains whose boundary curve is replaced by a dashed line, and from domains arising from a periodic tiling of the plane. We also give a construction of a type of domain which is similar to a wedge domain, but the behaviour of whose exit time moments answer several questions that had been speculated upon.</p>

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A Collection of Results Relating the Geometry of Plane Domains and the Exit Time of Planar Brownian Motion, II

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  • 发表日期：

    2026年5月12日

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  • Greg Markowsky,
  • Clayton McDonald

摘要

This paper is the sequel to another with the same name (Buttigieg et al. Comput. Methods Funct. Theory 23:469–488, 2023), and is concerned with results of the same type. We deduce a result on the moments of the exit time of Brownian motion from domains whose boundary curve is replaced by a dashed line, and from domains arising from a periodic tiling of the plane. We also give a construction of a type of domain which is similar to a wedge domain, but the behaviour of whose exit time moments answer several questions that had been speculated upon.