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Mean-Field Behavior for the Survival Probability and the Percolation Point-to-Surface Connectivity

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タイトル: Mean-Field Behavior for the Survival Probability and the Percolation Point-to-Surface Connectivity
著者: Sakai, Akira 著作を一覧する
キーワード: Contact process
percolation
survival probability
point-to-surface connectivity
critical exponents
mean-field behavior
発行日: 2004年10月 1日
出版者: Kluwer
誌名: Journal of Statistical Physics
巻: 117
号: 1-2
開始ページ: 111
終了ページ: 130
出版社 DOI: 10.1023/B:JOSS.0000044061.83860.62
抄録: We consider the critical survival probability (up to timet) for oriented percolation and the contact process, and the point-to-surface (of the ball of radiust) connectivity for critical percolation. Let θt denote both quantities. We prove in a unified fashion that, if θt exhibits a power law and both the two-point function and its certain restricted version exhibit the same mean-field behavior, then θt=t-1 for the time-oriented models with d > 4 and θt=t-2 for percolation with d > 7.
Rights: The final publication is available at link.springer.com
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/57817
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 坂井 哲

 

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