Homogenization on disconnected selfsimilar fractal sets in r

Hiroshi Takahashi, Yozo Tamura

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We construct diffusion processes on disconnected selfsimilar fractal sets as limits of suitably scaled random walks. We also consider homogenization problems on disconnected fractal sets. We treat environments whose means are not only finite but infinite.

Original languageEnglish
Pages (from-to)127-138
Number of pages12
JournalTokyo Journal of Mathematics
Volume28
Issue number1
DOIs
Publication statusPublished - 2005 Jan 1

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Self-similar Set
Fractal Set
Homogenization
Diffusion Process
Random walk

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Homogenization on disconnected selfsimilar fractal sets in r. / Takahashi, Hiroshi; Tamura, Yozo.

In: Tokyo Journal of Mathematics, Vol. 28, No. 1, 01.01.2005, p. 127-138.

Research output: Contribution to journalArticle

Takahashi, Hiroshi ; Tamura, Yozo. / Homogenization on disconnected selfsimilar fractal sets in r. In: Tokyo Journal of Mathematics. 2005 ; Vol. 28, No. 1. pp. 127-138.
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