Scaling limit for the ant in a simple high-dimensional labyrinth

成果类型:
Article
署名作者:
Ben Arous, Gerard; Cabezas, Manuel; Fribergh, Alexander
署名单位:
New York University; Pontificia Universidad Catolica de Chile; Universite de Montreal
刊物名称:
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN:
0178-8051
DOI:
10.1007/s00440-018-0876-3
发表日期:
2019
页码:
553-646
关键词:
摘要:
We prove that, after suitable rescaling, the simple random walk on the trace of a large critical branching random walk in Zd converges to the Brownian motion on the integrated super-Brownian excursion when d>14.