ON RUSSOS APPROXIMATE ZERO-ONE LAW
成果类型：
Article
署名作者：
TALAGRAND, M
署名单位：
University System of Ohio; Ohio State University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176988612
发表日期：
1994
页码：
1576-1587
关键词：
摘要：
Consider the product measure mu(p) on {0, 1}(n), when 0 (resp. 1) is given weight 1 - p (resp, p). Consider a monotone subset A of {0, 1}(n). We give a precise quantitative form to the following statement: if A does not depend much on any given coordinate, d mu(p)(A)/dp is large. Thus, in that case, there is a threshold effect and mu(p)(A) jumps from near 0 to near 1 in a small interval.
来源URL：