2011 Fiscal Year Final Research Report
Development of probability theory on randomly grown networks
| Project/Area Number |
21740087
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Osaka Electro-Communication University |
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Principal Investigator |
TAKEI Masato 大阪電気通信大学, 情報通信工学部, 講師 (60460789)
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| Project Period (FY) |
2009 – 2011
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| Keywords | パーコレーション / Isingモデル / 拡散律速凝集モデル / 強化ランダムウォーク / セルオートマトン / フラクタル |
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| Research Abstract |
We studied stochastic models related to randomly grown networks : The scaling relations for percolation in the two-dimensional high-temperature Ising model are derived. We analyze the DLA model with impurities from the viewpoint of percolation. Some results on reinforced random walks on ladder graphs and one-dimensional linear cellular automata are obtained.
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