yutaka の履歴(No.3) - PukiWiki

yutaka の履歴(No.3) - PukiWiki

Yutaka ISHII
associate professor
Department of Mathematics, Kyushu University
Motooka, Fukuoka 819-0395, Japan

Publications and Preprints
Lecture notes etc
Books

Publications and Preprints†

Henon maps, polynomial diffeomorphisms of C^2†

Hyperbolic polynomial diffeomorphisms of C^2. I: A non--planar map.
Adv. Math. 218, no. 2, pp. 417-464 (2008).

Hyperbolic polynomial diffeomorphisms of C^2. II: Hubbard trees.
Adv. Math. 220, no. 4, pp. 985-1022 (2009).

Corrigendum to the article above, Adv. Math. 226, no. 4, pp. 3850-3855 (2011).

Homotopy shadowing. (with J.Smillie)
Amer. J. Math. 132, no. 4, pp. 987-1029 (2010).

Hyperbolic polynomial diffeomorphisms of C^2. III: Iterated monodromy groups.
In preparation (2011).

On the parameter loci of the Henon family. (with Z.Arai)
In preparation (2011).

Lozi maps, piecewise affine/projective maps†

Towards a kneading theory for Lozi mappings I: A solution of the pruning front conjecture and the first tangency problem.
Nonlinearity 10, no. 3, pp. 731--747 (1997).

Towards a kneading theory for Lozi mappings II: Monotonicity of the topological entropy and Hausdorff dimension of attractors.
Commun. Math. Phys. 190, no. 2, pp. 375--394 (1997).

Monotonicity of the Lozi family near the tent-maps. (with D.Sands)
Commun. Math. Phys. 198, no. 2, pp. 397--406 (1998).

Lap number entropy formula for piecewise affine and projective maps in several dimensions. (with D.Sands)
Nonlinearity 20, no. 12, 2755--2772 (2007). Corrigendum: Nonlinearity 21, no. 6, pp. 1411-1411 (2008).

On some conjectures concerning the entropy of Lozi maps. (with D.Sands)
In preparation (2011).

Physics-related papers and others†

Quantum tunneling phenomena and complex dynamics.
Unpublished manuscript (1999).

Julia set describes quantum tunnelling in the presence of chaos. (with A.Shudo and K.S.Ikeda)
J. Phys. A: Math. Gen. 35, no. 17, L225--L231 (2002).

Note on a paper by Kawasaki and Sasa on Bernoulli coupled map lattices.
J. Phys. A: Math. Gen. 39, no. 45, 14043--14046 (2006).

Chaos attracts tunneling trajectories: A universal mechanism of chaotic tunneling. (with A.Shudo and K.S.Ikeda)
Europhys. Lett. 81, no. 5, 50003 (2008).

Julia sets and chaotic tunneling I. (with A.Shudo and K.S.Ikeda)
J. Phys. A: Math. Theor. 42, article number 265101 (26pp), (2009).

Julia sets and chaotic tunneling II. (with A.Shudo and K.S.Ikeda)
J. Phys. A: Math. Theor. 42, article number 265102 (34pp), (2009).

Lecture notes etc†

On some results of Bedford and Smillie concerning the complex dynamics of C^2. (in Japanese)
Kyoto University RIMS Kokyuroku, No. 1042, pp. 193--220 (1998).

Physical phenomena and complex dynamics. (in Japanese)
Suuri Kagaku (2002).

Dynamics of the complex Henon maps and the first tangency problem (after Bedford and Smillie).
Notes for lectures at Ryukoku University (2002).

Discrete integrable systems and discrete dynamical systems. (in Japanese)
Suuri Kagaku (2003).

Books†

Japanese translation of "An Introduction to Chaotic Dynamical Systems" by R.Devaney (with H.Kokubu, M.Kisaka and S.Nii).
Kyoritsu Publisher.