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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/15154

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/15154

Title:	Critical Behavior for an Oriented Percolation with Long-Range Interactions in dimensions $d>2$
Authors:	陳隆奇 Chen, Lung-Chi 謝南瑞 Shieh, Narn-Rueih
Keywords:	Oriented percolation;Critical exponent;Infrared bound;Lace expansion;Connectivity function;Mean-field behavior;Long-range interaction
Date:	2006.09
Issue Date:	2008-12-17 09:46:10 (UTC+8)
Abstract:	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.
Relation:	Taiwanese Journal of Mathematics, 10, 1345-1378
Data Type:	article
Appears in Collections:	[應用數學系] 期刊論文

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