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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/71415

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/71415

Title:	Critical behavior and the limit distribution for long-range oriented percolation
Authors:	陳隆奇 Chen, Lung-Chi Akira Sakai
Contributors:	應數系
Date:	2008.09
Issue Date:	2014-11-13 17:22:14 (UTC+8)
Abstract:	We consider oriented percolation on Zd×Z+ whose bond-occupation probability is pD( · ), where p is the percolation parameter and D is a probability distribution on Zd . Suppose that D(x) decays as \|x\|−d−α for some α > 0. We prove that the two-point function obeys an infrared bound which implies that various critical exponents take on their respective mean-field values above the upper-critical dimension dc=2(α∧2) . We also show that, for every k, the Fourier transform of the normalized two-point function at time n, with a proper spatial scaling, has a convergent subsequence to e−c\|k\|α∧2 for some c > 0.
Relation:	Probability Theory and Related Fields, 140, 151-188
Data Type:	article
Appears in Collections:	[應用數學系] 期刊論文

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