高橋智 業績リスト

Papers

1. S. Takahashi, Limiting behaviour of linear cellular automata, Proc. Japan Acad. 63A (1987) 182-185.

2. S. Takahashi, Cellular automata and multifractals: dimension spectra of linear cellular automata, Physica D 45 (1990) 36-48.

3. S. Takahashi, Self-similarity of linear cellular automata, J. Comput. Sytem Sci. 44 (1992) 114-140.

4. T. Namba and S. Takahashi, Competitive coexistence in a seasonally fluctuating environment II. Multiple stable states and invasion success, Theor. Popl. Biol. 44 (1993) 374-402.

5. S. Takahashi, A variational formula for dimension spectra of linear cellular automata, J. Analyse Math. 64 (1994) 1-51.

6. Y. Yasui and S. Takahashi, Unstable geodesics and topological field theory, J. Math. Phys. 35 (1994) 4547-4567.

7. S. Takahashi and M. Hori, Unstable evolutionarily stable strategy and oscillation -- a model on lateral asymmetry in scale-eating cichlids, American Naturalist 144 (1994) 1001-1020.

8. J. M. Dumont, T. Kamae and S. Takahashi, Minimal cocycles with the scaleing property and substitutions, Israel J. Math. 95 (1996) 393-410.

9. M. Kamae and S. Takahashi, A shape theorem for the spread of epidemics and forest fires in two dimensional Euclidean space, Osaka J. Math. 33 (1996) 915-925.

10. A. Iwasaki, S. Takahashi, T. Yamakura, M. Kanzaki, A. Itoh, T. Ohkubo, K. Ogino, E. O. K. Chai, H. S. Lee and P. S. Ashton, Fractal dimension of the spatial distribution of Dryobalanops lanceolata in a tropical rain forest, at Lambir, Sarawak, Tropics 7 (1997) 1-8.

11. S. Takahashi and M. Hori, Oscillation maintains polymorphisms -- a model of lateral asymmetry in two competing scale-eating cichlids, J. Theor. Biol. 195 (1998) 1-12.

Reprints of 4, 6-9, 11 are available.

Proceedings

S. Takahashi, Cellular automata fractals and multifractals: space-time patterns and dimension spectra of linear cellular automata, in G. Brown and A. Opie ed., Chaos in Australia, World Scientific, 1993, 173-195.

Books

高橋智,セルオートマトンにおけるカオスとフラクタル,合原一幸(編著),「カオス」,第8章(258頁−288頁),サイエンス社,1990年.(S. Takahashi, Chaos and Fractal in Cellular Automata, K. Aihara(ed.), "Chaos", Section 8, 258-288, Saiensu-sha, 1990, in Japanese)

釜江哲朗,高橋智(共著),「エルゴード理論とフラクタル」,シュプリンガー・フェアラーク東京,1993年.(T. Kamae and S. Takahashi, "Ergodic Theory and Fractals", Springer-Verlag Tokyo, 1993, in Japanese)

高橋智,「Macintosh ではじめる C」,牧野書店,1996年.(S. Takahashi, "Beginning C with Macintosh", Makino Shoten, 1996, in Japanese)

Preprints

S. Takahashi, Coexistence of prey and predators in seasonally varying environments.

S. Takahashi, Multifractal formalism for sofic measures.

S. Takahashi, Dimension spectra of self-affine sets.



さっちゃんホームページに戻る