Block spin approach to the singularity properties of the continued fractions

Kumiko Hattori; Tetsuya Hattori; Hiroshi Watanabe

doi:10.1007/BF01238852

Block spin approach to the singularity properties of the continued fractions

Kumiko Hattori, Tetsuya Hattori, Hiroshi Watanabe

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	31-48
Number of pages	18
Journal	Communications in Mathematical Physics
Volume	115
Issue number	1
DOIs	https://doi.org/10.1007/BF01238852
Publication status	Published - 1988 Mar 1
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Block spin approach to the singularity properties of the continued fractions",

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+.",

author = "Kumiko Hattori and Tetsuya Hattori and Hiroshi Watanabe",

year = "1988",

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doi = "10.1007/BF01238852",

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T1 - Block spin approach to the singularity properties of the continued fractions

AU - Hattori, Kumiko

AU - Hattori, Tetsuya

AU - Watanabe, Hiroshi

PY - 1988/3/1

Y1 - 1988/3/1

N2 - 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+.

AB - 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+.

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Block spin approach to the singularity properties of the continued fractions

Abstract

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