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

Renormalization Group Approach to Stochastic Geometric Models

Research Project

Project/Area Number 21654020
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyushu University

Principal Investigator

HARA Takashi  九州大学, 大学院・数理学研究院, 教授 (20228620)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥1,750,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2009: ¥600,000 (Direct Cost: ¥600,000)
Keywordsくりこみ群 / 臨界現象 / 自己回避ランダムウォーク / パーコレーション / イジングモデル / 低温相
Research Abstract

Water changes into vapor when heated. This is an example of phenomena called a phase transition. When a phase transition occurs, a lot of physical quantities diverge(or show singular behavior). This is an example of critical phenomena. One of the most effective tools in the analysis of critical phenomena is the method of re normalization group. The purpose of this research is to extend the existing re normalization group techniques to the analysis of stochastic geometric models(such as self-avoiding walk) and low-temperature phase of spin systems.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (1 results)

All 2009

All Presentation (1 results)

  • [Presentation] q-lattice animals-a model which interpolates lattice animals and percolation2009

    • Author(s)
      原隆
    • Organizer
      Above the critical dimension
    • Place of Presentation
      Institut Henri Poincare(Paris)
    • Year and Date
      2009-12-07
    • Related Report
      2009 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi