AI 中文总结
本文通过Bernardi等人的结果建立三角剖分渗流界面剥离过程边界与Kreweras游走的几何关系,扩展至分支剥离探索,揭示了生长-碎裂过程与相关布朗游程的联系。
AI 中文摘要
本文利用Bernardi、Holden和Sun的结果,明确给出三角剖分渗流界面处剥离过程的边界与对应Kreweras游走之间的几何关系,该关系可自然扩展至分支剥离探索,这为Da Silva、Powell和Watson发现的生长-碎裂过程与相关布朗游程之间的联系提供了新的见解。
英文摘要
In this note, using a result of Bernardi, Holden and Sun, we give an explicit geometric relation between the perimeter of the peeling process along the percolation interface of a triangulation, and the corresponding Kreweras walk. The relation naturally extends to the branching peeling exploration. This sheds light on the relation between the growth-fragmentation process and correlated Brownian excursions discovered by Da Silva, Powell and Watson.
Comments16 pages, 8 figures