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Block spin approach to the singularity properties of the continued fractions |
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| Authors: | Kumiko Hattori Tetsuya Hattori Hiroshi Watanabe |
| Affiliation: | (1) Department of Mathematics, Faculty of Science, University of Tokyo, Bunkyo-ku, 113 Tokyo, Japan;(2) Department of Physics, Faculty of Science, Gakushuuin University, Toshima-ku, 171 Tokyo, Japan;(3) Department of Mathematics, Faculty of Science, Tokyo Metropolitan University, Setagaya-ku, 158 Tokyo, Japan |
| Abstract: | The massless singularity of a ferromagnetic Gaussian measure on  + 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 +. |
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