| dc.contributor | 應數系 | en_US |
| dc.creator (作者) | 陳隆奇 | zh_TW |
| dc.creator (作者) | Chen, Lung-Chi | en_US |
| dc.creator (作者) | Akira Sakai | en_US |
| dc.date (日期) | 2008.09 | en_US |
| dc.date.accessioned | 13-Nov-2014 17:22:14 (UTC+8) | - |
| dc.date.available | 13-Nov-2014 17:22:14 (UTC+8) | - |
| dc.date.issued (上傳時間) | 13-Nov-2014 17:22:14 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/71415 | - |
| dc.description.abstract (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. | en_US |
| dc.format.extent | 498865 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.relation (關聯) | Probability Theory and Related Fields, 140, 151-188 | en_US |
| dc.title (題名) | Critical behavior and the limit distribution for long-range oriented percolation | en_US |
| dc.type (資料類型) | article | en |
