New classification of fractals by probabilistic models
Project/Area Number |
21740075
|
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 | Nara Women's University |
Principal Investigator |
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | フラクタル / 確率モデル / 統計力学 / 相転移 / 確率ゲーム / パーコレーション / ランダムウォーク / 全域木 / 臨界確率 / 確率論 |
Research Abstract |
We constructed some percolation models and random minimal spanning tree models on fractal-like graphs and studied some properties of these probabilistic models. Especially we showed that there is a difference of critical values between minimal spanning trees and uniform spanning trees.
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Report
(4 results)
Research Products
(8 results)