The Brownian Conga line
成果类型:
Article
署名作者:
Banerjee, Sayan
署名单位:
University of Warwick
刊物名称:
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN:
0178-8051
DOI:
10.1007/s00440-015-0649-1
发表日期:
2016
页码:
901-961
关键词:
摘要:
We introduce a new model called the Brownian Conga line. It is a random curve evolving in time, generated when a particle performing a two dimensional Gaussian random walk leads a long chain of particles connected to each other by cohesive forces. We approximate the discrete Conga line in some sense by a smooth random curve and subsequently study the properties of this smooth curve.
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