New approximate renormalization method on fractals

Kumiko Hattori, Tetsuya Hattori, Hiroshi Watanabe

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We introduce a new approximate block-spin transformation, and applying this method to the massless free field on fractals, we obtain approximate values of the spectral dimension. For fractals of the Sierpiński type, the results are smaller than the values obtained by the Migdal-Kadanoff renormalization.

Original languageEnglish
Pages (from-to)3730-3733
Number of pages4
JournalPhysical Review A
Volume32
Issue number6
DOIs
Publication statusPublished - 1985
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

New approximate renormalization method on fractals. / Hattori, Kumiko; Hattori, Tetsuya; Watanabe, Hiroshi.

In: Physical Review A, Vol. 32, No. 6, 1985, p. 3730-3733.

Research output: Contribution to journalArticle

Hattori, Kumiko ; Hattori, Tetsuya ; Watanabe, Hiroshi. / New approximate renormalization method on fractals. In: Physical Review A. 1985 ; Vol. 32, No. 6. pp. 3730-3733.
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