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https://ah.lib.nccu.edu.tw/handle/140.119/15154| 題名: | Critical Behavior for an Oriented Percolation with Long-Range Interactions in dimensions $d>2$ | 作者: | 陳隆奇 Chen, Lung-Chi 謝南瑞 Shieh, Narn-Rueih |
關鍵詞: | Oriented percolation;Critical exponent;Infrared bound;Lace expansion;Connectivity function;Mean-field behavior;Long-range interaction | 日期: | 2006 | 上傳時間: | 17-Dec-2008 | 摘要: | We consider a model of oriented percolation on Z d ×Z , d>2 , with long-range interactions, in which the bond occupation probability decays as the α -stable distribution with α=1 . We use the lace expansion to get an L 1 infrared bound estimate which implies several critical exponents via the triangle condition. | 關聯: | Taiwanese Journal of Mathematics, 10, 1345-1378 | 資料類型: | article |
| Appears in Collections: | 期刊論文 |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 1345-1378.pdf | 245.79 kB | Adobe PDF2 | View/Open |
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