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| 平移不变的随机串测度 | |
| 引用本文： | 王颖喆. 平移不变的随机串测度[J]. 应用数学, 2007, 20(1): 37-46 |
| 作者姓名： | 王颖喆 |
| 作者单位： | 北京师范大学数学科学学院,北京,100875 |
| 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． |
| 关 键 词： | 随机串模型 平移不变的随机串测度 极点 围道 |
| 文章编号： | 1001-9847(2007)01-0037-10 |
| 修稿时间： | 2006-03-01 |
The Translation Invariant Random Cluster Measures |
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| WANG Ying-zhe. The Translation Invariant Random Cluster Measures[J]. Mathematica Applicata, 2007, 20(1): 37-46 | |
| Authors: | WANG Ying-zhe |
| Affiliation: | 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 Zd 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. |
| Keywords: | Random cluster model Translation invariant random cluster measure Extremal measure Contour |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |