Block spin approach to the singularity properties of the continued fractions

Kumiko Hattori, Tetsuya Hattori, Hiroshi Watanabe

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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 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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