Speed of the biased random walk on a Galton-Watson tree

成果类型:
Article
署名作者:
Aidekon, Elie
署名单位:
Sorbonne Universite
刊物名称:
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN:
0178-8051
DOI:
10.1007/s00440-013-0515-y
发表日期:
2014
页码:
597-617
关键词:
摘要:
We give an expression of the speed of the biased random walk on a Galton-Watson tree. In the particular case of the simple random walk, we recover the result of Lyons et al. (Erg Theory Dyn Syst 15:593-619, 1995). The proof uses a description of the invariant distribution of the environment seen from the particle.
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