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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 2006.09
上傳時間 17-Dec-2008 09:46:10 (UTC+8)
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
dc.creator (作者) 陳隆奇zh_TW
dc.creator (作者) Chen, Lung-Chi-
dc.creator (作者) 謝南瑞zh_TW
dc.creator (作者) Shieh, Narn-Rueihen_US
dc.date (日期) 2006.09en_US
dc.date.accessioned 17-Dec-2008 09:46:10 (UTC+8)-
dc.date.available 17-Dec-2008 09:46:10 (UTC+8)-
dc.date.issued (上傳時間) 17-Dec-2008 09:46:10 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/15154-
dc.description.abstract (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.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Taiwanese Journal of Mathematics, 10, 1345-1378en_US
dc.subject (關鍵詞) Oriented percolation;Critical exponent;Infrared bound;Lace expansion;Connectivity function;Mean-field behavior;Long-range interaction-
dc.title (題名) Critical Behavior for an Oriented Percolation with Long-Range Interactions in dimensions $d>2$en_US
dc.type (資料類型) articleen