ID | 14929 |
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Sort Key | 7
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フルテキストURL | |
著者 | |
抄録 | In 1993, Menshikov and Zuev introduced ρ−percolation model, in which a path of a graph is ρ−passable in a
bond percolation configuration if the concentration of open bonds on it is at least ρ, and concerning this model,
they gave four open problems. In this paper, we answer three problems out of them : the first one is whether the ρ−percolation critical probability is equal to the critical probability corresponding to finite/infinite expectation of the number of ρ−connectable vertices from a fixed vertex, the second is whether the 1-p ercolation critical probability is equal to the Bernoulli bond percolation critical probability, and finally the third is whether the probability of the existence of ρ−passable path of length exceeding n starting from a fixed vertex always decays exponentially in the subcritical phase.
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出版物タイトル |
岡山大学経済学会雑誌
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発行日 | 2009-03-10
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巻 | 40巻
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号 | 4号
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出版者 | 岡山大学経済学会
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出版者(別表記) | The economic association of okayama university
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開始ページ | 115
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終了ページ | 125
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ISSN | 0386-3069
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NCID | AN00032897
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資料タイプ |
学術雑誌論文
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関連URL | http://www.e.okayama-u.ac.jp/~shiryou/gakkaishi.htm
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OAI-PMH Set |
岡山大学
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言語 |
英語
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著作権者 | 岡山大学経済学会
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論文のバージョン | publisher
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NAID | |
Eprints Journal Name | oer
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