### 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 | |

Publication status | Published - 1988 Mar |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Communications in Mathematical Physics*,

*115*(1), 31-48. https://doi.org/10.1007/BF01238852

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

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 115, no. 1, pp. 31-48. https://doi.org/10.1007/BF01238852

}

TY - JOUR

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

AU - Hattori, Kumiko

AU - Hattori, Tetsuya

AU - Watanabe, Hiroshi

PY - 1988/3

Y1 - 1988/3

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+.

UR - http://www.scopus.com/inward/record.url?scp=34250092858&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250092858&partnerID=8YFLogxK

U2 - 10.1007/BF01238852

DO - 10.1007/BF01238852

M3 - Article

AN - SCOPUS:34250092858

VL - 115

SP - 31

EP - 48

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -