### 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 |
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Pages (from-to) | 31-48 |

Number of pages | 18 |

Journal | Communications in Mathematical Physics |

Volume | 115 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Mar 1988 |

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## Cite this

Hattori, K., Hattori, T., & Watanabe, H. (1988). Block spin approach to the singularity properties of the continued fractions.

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