Block spin approach to the singularity properties of the continued fractions

Kumiko Hattori, Tetsuya Hattori, Hiroshi Watanabe

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The massless singularity of a ferromagnetic Gaussian measure on ℤ+ is studied by means of the coarse graining renormalization group method. The result gives information about a singularity behavior of a continued fraction and a time decay rate of a diffusion (random walk) on ℤ+.

Original languageEnglish
Pages (from-to)31-48
Number of pages18
JournalCommunications in Mathematical Physics
Volume115
Issue number1
DOIs
Publication statusPublished - 1988 Mar
Externally publishedYes

Fingerprint

Continued fraction
Singularity
Coarse-graining
Gaussian Measure
renormalization group methods
random walk
Decay Rate
Renormalization Group
decay rates
Random walk

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Block spin approach to the singularity properties of the continued fractions. / Hattori, Kumiko; Hattori, Tetsuya; Watanabe, Hiroshi.

In: Communications in Mathematical Physics, Vol. 115, No. 1, 03.1988, p. 31-48.

Research output: Contribution to journalArticle

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