Sublinear variance in first-passage percolation for general distributions
成果类型：
Article
署名作者：
Damron, Michael; Hanson, Jack; Sosoe, Philippe
署名单位：
Princeton University; Princeton University
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-014-0591-7
发表日期：
2015
页码：
223-258
关键词：
摘要：
We prove that the variance of the passage time from the origin to a point in first-passage percolation on is sublinear in the distance to when , obeying the bound , under minimal assumptions on the edge-weight distribution. The proof applies equally to absolutely continuous, discrete and singular continuous distributions and mixtures thereof, and requires only moments. The main result extends work of Benjamini-Kalai-Schramm (Ann Prob 31, 2003) and Benaim-Rossignol (Ann Inst Henri Poincar, Prob Stat 3, 2008).
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