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https://ah.lib.nccu.edu.tw/handle/140.119/71415
題名: | Critical behavior and the limit distribution for long-range oriented percolation | 作者: | 陳隆奇 Chen, Lung-Chi Akira Sakai |
貢獻者: | 應數系 | 日期: | 2008 | 上傳時間: | 13-Nov-2014 | 摘要: | 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. | 關聯: | Probability Theory and Related Fields, 140, 151-188 | 資料類型: | article |
Appears in Collections: | 期刊論文 |
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