Papers
Papers
- (with M. Nakada) The Nielsen development and transitive points
under a certain Fuchsian group, T\^{o}hoku Math. J., 37(1985), 107-123.
- Transitive points under the modular group and continued fractions, RIMS Kokyuroku 571(1985), 111-122.
- A property of transitive points under Fuchsian groups, T\^{o}hoku
Math. J., 40(1988), 153-158.
- Limit points for infinitely generated Fuchsian groups, Math. Proc.
Camb. Phil. Soc., 104(1988), 539-545.
- Invariant subsets of the limit set for a Fuchsian group, T\^{o}hoku
Math. J., 42(1990), 429-437.
- Note on infinitely connected immediate basin of attracting cycles for
iteration of rational functions, Nonlinearity, 8(1995), 107-109.
- On the tangential limit set for a Fuchsian group,
Mem. Fac. Sci. Kochi Univ. (Math.), 16(1995), 57-64.
- An estimate of the Hausdorff dimensions of the Julia sets,
Mem. Fac. Sci. Kochi Univ. (Math.), 17(1996), 69-73.
- On the residual Julia sets of rational functions, Ergod.
Th. \& Dynam. Sys., 17(1997), 205-210.
- Note on the iteration of $f_{\mu}(z)=z\exp(z+\mu)$, Sci. Bul. Josai. Univ.,
Special Issue 4(1998), 11-16.
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- An example of cyclic Baker domains,
Mem. Fac. Sci. Kochi Univ. (Math.), 20(1999), 123-126.
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- Bounded Fatou components of transcendental entire functions, Research Reports of the
Nevanlinna Theory and its Applications II (eds. K. Ishizaki, S. Mori, N. Toda and K. Tohge),
Nippon Institute of Technology, October 1999, 65-69.
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- Local connectedness of Julia sets for transcendental entire functions,
Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis
(eds. W. Takahashi and T. Tanaka), World Scientific, November 1999, 266-273.
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- Julia sets of subhyperbolic rational functions, Complex Variables, 41(2000), 151-162.
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- The Carath\'{e}odory convergence of Fatou components of Polynomials to Baker domains or
wandering domains, Proceedings of the Second ISAAC Congress (eds. H. Begehr, R. P. Gilbert and J. Kajiwara),
Kluwer Academic Publishers, 2000, vol.1 347-356.
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- (With M. Taniguchi) Non-trivial deformation of an entire function $abz + e^{bz} + c$,
Taiwanese J. Math., 5(2001), 641-646.
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- (With W. Bergweiler) Semihyperbolic entire functions,
Nonlineality, 15(2002), 1673-1684.
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- The Carath\'{e}odory convergence of Fatou components of polynomials to Baker domains or
wandering domains II, Proceedings of the 10th International Conference on Finite Dimensional
Complex Analysis and Applications, 127-132.
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In Japanese
- On the boundaries of Fatou components of rational functions, RIMS Kokyuroku 959(1996), 51-58.
- Remarks on the iteration of $f(z)=z\exp(z+\mu)$、RIMS Kokyuroku 988(1997), 145-152.
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- On Julia set of decorated exponential maps, RIMS Kokyuroku 1042(1998), 221-230.
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- On the Hausedorff dimension of Julia set, Proceedings of the workshop of Hausedorff dimensions, 1998, 139-147.
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- On Carateodry convergence to Baker domains or wandering domains, RIMS Kokyuroku 1087(1999), 11-20.
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- Appearance of Baker domains and wandering domains, RIMS Kokyuroku 1153(2000), 113-121.
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- Dynamics of transcendental entire function of infinite singular type, RIMS Kokyuroku.
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Books
- A Primer on Complex Dynamics (in Japanese) (With M. Taniguchi and T. Ueda), Baihuukan, 1995 November.
- Holomorphic Dynamics (With Y. Nishimura, M. Taniguchi and T. Ueda), Cambridge University Press,
Cambridge Studies in Advanced Mathematics 66, 2000 January.