Yutaka ISHII ~ associate professor ~ Department of Mathematics, Kyushu University ~ Motooka, Fukuoka 819-0395, Japan ~ #contents *Publications and Preprints [#t830a1d2] **Henon maps, polynomial diffeomorphisms of C^2 [#ma01ac09] - 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 [#l4929a55] - 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 [#je3ccdd9] - 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 ~ Unpublished manuscript (1999).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 [#d69523fa] - 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 [#u6ca74d7] - Japanese translation of "An Introduction to Chaotic Dynamical Systems" by R.Devaney (with H.Kokubu, M.Kisaka and S.Nii). ~ Kyoritsu Publisher. #br // #attach // - &mimetex("\frac{1}{\pi}");