The spectrum of the random environment and localization of noise
成果类型：
Article
署名作者：
Cheliotis, Dimitris; Virag, Balint
署名单位：
Eindhoven University of Technology; University of Toronto
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-009-0225-7
发表日期：
2010
页码：
141-158
关键词：
摘要：
We consider random walk on a mildly random environment on finite transitive d-regular graphs of increasing girth. After scaling and centering, the analytic spectrum of the transition matrix converges in distribution to a Gaussian noise. An interesting phenomenon occurs at d = 2: as the limit graph changes from a regular tree to the integers, the noise becomes localized.
来源URL：