学术
国际标准刊号：ISSN 1001-9847
国内统一刊号：CN 42-1184
摘 要:
利用围道估计的方法，刻划在相变点处的平移不变随机串测度，证明了：对二维以上情况，当口充分大时，在临界点处，平移不变随机串测度有且只有两个极点，也即任一平移不变随机串测度都是这两个极点的凸组合．[著者文摘]
关 键 词:
文章出处:
《应用数学》-2007年20卷1期 -37-46页
Mathematica Applicata
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）01-0037-10
[参考文献]
The Translation Invariant Random Cluster Measures
WANG Ying-zhe （School of Mathematic Science, Beijing Normal University, Beijing 100875, China）
Abstract:
Using the method of contour estimates to describe the translation invariant random cluster measrues. The set of these measures on ￡d is proved to have only two extremal measures for d ≥2, the critical parameter pc and sufficiently large q. That is to say,any such measure is a linear combination of the two extremal measures.[著者文摘]
Key words:
Random cluster model;Translation invariant random cluster measure; Extremal measure ;Contour
收稿日期: 2006-03-01
基金资助:
Supported by the National Natural Science Foundation of China （10121101） and Foundation of Tian Yuan （10126032）
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