Transition density of diffusion on the Sierpinski gasket and extension of Flory's formula

Tetsuya Hattori, Hideo Nakajima

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Some problems related to the transition density u(t,x) of the diffusion on the Sierpinski gasket are considered, based on recent rigorous results and detailed numerical calculations. The main contents are an extension of Flory's formula for the end-to-end distance exponent of self-avoiding walks on the fractal spaces, and evidence of the oscillatory behavior of u(t,x) on the Sierpinski gasket.

Original languageEnglish
Pages (from-to)1202-1205
Number of pages4
JournalPhysical Review E
Volume52
Issue number1
DOIs
Publication statusPublished - 1995

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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