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Tetsuya Hattori: Papers; Renormalization group approach to stochastic chains and processes on lines and on fractals.
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K. Hattori, T. Hattori,
Displacement exponents of
self-repelling walks and self-attracting walks on the
pre-Sierpinski gasket,
Journal of Mathematical Sciences, the University of Tokyo, 12
(2005) 417--443.
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T. Hattori, K. Hattori,
Renormalization group approach to a generalization of
the law of iterated logarithms for one-dimensional
(non-Markovian) stochastic chains,
Kokyuroku (Kyoto Univ.) 1386 (2004) 35--49.
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B. Hambly, K. Hattori, T. Hattori,
Self-repelling Walk on the Sierpinski Gasket,
Probability Theory and Related Fields 124 (2002) 1-25.
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M. T. Barlow, K. Hattori, T. Hattori, H. Watanabe,
Weak homogenization of anisotropic diffusion on pre-Sierpinski
carpet,
Communications in Mathematical Physics 188 (1997) 1-28.
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M. T. Barlow, K. Hattori, T. Hattori, H. Watanabe,
Restoration of isotropy on fractals,
Physical Review Letters 75 (1995) 3042-3045.
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T. Hattori,
Asymptotically one-dimensional diffusions on scale-irregular gaskets,
Journal of Mathematical Science University of Tokyo, 4 (1997) 229-278.
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T. Hattori, H. Watanabe,
Anisotropic random walks and the asymptotically one-dimensional
diffusions on the abc-gaskets,
Journal of Statistical Physics 88 (1997) 105-128.
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T. Hattori, H. Nakajima,
Transition density of diffusion on the Sierpinski gasket
and extension of Flory's formula,
Physical Review E 52 (1995) 1202-1205.
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K. Hattori, T. Hattori, H. Watanabe,
Asymptotically one-dimensional diffusions
on the Sierpinski gasket and the abc-gaskets,
Probability Theory and Related Fields 100 (1994) 85-116.
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T. Hattori, H. Watanabe,
On a limit theorem for non-stationary branching processes,
in E. Ç inlar et al. (eds.),
Seminar on Stochastic Processes, 1992,
Birkhä user, Boston, 1993, 173-187.
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K. Hattori, T. Hattori, H. Watanabe,
Block spin approach to the singularity properties of the
continued fractions,
Communications in Mathematical Physics 115 (1988) 31-48.
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T. Hattori, K. Hattori,
POP approximation to the spectral dimension of dual three-dimensional
Sierpinski carpets,
Journal of Physics A 21 (1988) 3117-3129.
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K. Hattori, T. Hattori, H. Watanabe,
Gaussian field theories on general networks and the spectral
dimensions,
Progress of Theoretical Physics Supplement 92 (1987) 108-143.
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K. Hattori, T. Hattori, H. Watanabe,
Reasoning out the empirical rule ~d<2,
Physics Letters A 115 (1986) 207-212.
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K. Hattori, T. Hattori, H. Watanabe,
New approximate renormalization method on fractals,
Physical Review A 32 (1985) 3730-3733.
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