Development of probability theory on randomly grown networks
Project/Area Number |
21740087
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Osaka Electro-Communication University |
Principal Investigator |
TAKEI Masato 大阪電気通信大学, 情報通信工学部, 講師 (60460789)
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
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 |
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.
|
Report
(4 results)
Research Products
(25 results)