Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/71415
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | en_US |
dc.creator | 陳隆奇 | zh_TW |
dc.creator | Chen, Lung-Chi | en_US |
dc.creator | Akira Sakai | en_US |
dc.date | 2008.09 | en_US |
dc.date.accessioned | 2014-11-13T09:22:14Z | - |
dc.date.available | 2014-11-13T09:22:14Z | - |
dc.date.issued | 2014-11-13T09:22:14Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/71415 | - |
dc.description.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. | en_US |
dc.format.extent | 498865 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en_US | - |
dc.relation | Probability Theory and Related Fields, 140, 151-188 | en_US |
dc.title | Critical behavior and the limit distribution for long-range oriented percolation | en_US |
dc.type | article | en |
item.grantfulltext | restricted | - |
item.openairetype | article | - |
item.fulltext | With Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en_US | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | 期刊論文 |
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File | Description | Size | Format | |
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150-188.pdf | 487.17 kB | Adobe PDF2 | View/Open |
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