• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2011 Fiscal Year Final Research Report

New classification of fractals by probabilistic models

Research Project

  • PDF
Project/Area Number 21740075
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionNara Women's University

Principal Investigator

SHINODA Masato  奈良女子大学, 理学部, 准教授 (50271044)

Project Period (FY) 2009 – 2011
Keywordsフラクタル / 確率モデル / 統計力学 / 相転移 / 確率ゲーム
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.

  • Research Products

    (5 results)

All 2012 2011 2010 2009

All Journal Article (2 results) (of which Peer Reviewed: 1 results) Presentation (3 results)

  • [Journal Article] 3* N AB gameの最適戦略2012

    • Author(s)
      篠田正人
    • Journal Title

      情報処理学会論文誌ジャーナル

      Volume: 53巻6号 Pages: 1-6

    • Peer Reviewed
  • [Journal Article] Existence of phase transition of percolation on Sierpinski carpet lattices2012

    • Author(s)
      M. SHINODA
    • Journal Title

      COE Lecture Note Series(Institute of Mathematics for Industry, Kyushu University)

      Volume: Vol.39 Pages: 12-21

  • [Presentation] Existence of phase transition of percolation on fractal lattices2011

    • Author(s)
      M. SHINODA
    • Organizer
      Multiscale Mathematics : Hierarchy of Collective Phenomena and Interrelations between Hierarchical Structures
    • Place of Presentation
      Kyushu University
    • Year and Date
      2011-12-09
  • [Presentation] Random spanning trees on the Sierpinski gasket2010

    • Author(s)
      M. SHINODA
    • Organizer
      34th Conference on Stochastic Processes and Their Applications
    • Place of Presentation
      Senri Life Science Center Building
    • Year and Date
      2010-09-10
  • [Presentation] Uniform spanning trees and loop-erased random walks on the pre-Sierpinski gasket2009

    • Author(s)
      篠田正人
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24

URL: 

Published: 2013-07-31  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi