- 追加された行はこの色です。
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&size(20){This is a webpage of Yutaka ISHII (石井 豊)}; ~
&size(24){Yutaka ISHII (石井 豊)}; ~
#ref(Daguerre.JPG) ~
&size(12){(Cafe Daguerre at Paris, March 2011)}; ~
My new webpage:
https://sites.google.com/site/webpageyutakaishii/
Associate professor ~
Department of Mathematics, Kyushu University ~
Motooka, Fukuoka 819-0395, Japan ~
Email: yutaka_at_math_dot_kyushu-u_dot_ac_dot_jp
#contents
#br
*Curriculum Vitae [#m189ebc5]
Name: Yutaka Ishii ~
Date of Birth: March 4, 1970 ~
Place of Birth: Yokohama, Japan ~
Civil status: married, two children ~
Nationality: Japanese ~
Languages: Japanese > English > French ~
**Academic degrees [#f1b2ef12]
- Eiko High School, graduated in March 1988. ~
- B. Sc., "mainly in mathematics'', Kyoto University, March 1992. ~
- M. Sc., mathematics, Kyoto University, March 1994. ~
- Ph. D., mathematical sciences, University of Tokyo, March 1998. ~
Title of the thesis: A kneading theory for Lozi mappings. ~
Advisor: Professor Mitsuhiro Shishikura (currently at Kyoto University)
**Positions held [#q3e2adc2]
- JSPS research fellow (DC1), University of Tokyo, April 1994 - March 1997.
- Research associate, Department of Mathematics, Kyushu University, January 1998 - August 2003. ~
- Maitre de conference (mois d'invit'e), Universit'e de Paris XI (Orsay), France, March 2002 - April 2002. ~
- Associate professor, Department of Mathematics, Kyushu University, September 2003 - to date. ~
- Professeur invit'e, Universit'e de Rennes, France, May 2006. ~
**Lecture series [#f6e3cf6e]
- "Data storage and symbolic dynamics'', at Tokushima University (2002)
- "Dynamics of complex H'enon maps'', at Tokyo Institute of Technology (2005).
- "Dynamics of complex H'enon maps'', at Hokkaido University (2005).
- "Data storage and symbolic dynamics'', at Kyoto University (2008).
**Research visits (long term and invited) [#d3dd2ff3]
- Universit'e de Paris XI (Orsay), France, July 1994 - August 1996.
- IMS, SUNY at Stony Brook, USA, November 1997 - December 1997.
- Cornell University, USA, October 1999 - September 2000.
- Universite de Paris XI (Orsay), France, March 2001.
- Cornell University, USA, September 2001.
- Universit'e de Paris XI (Orsay), France, March 2002 - April 2002.
- RIMS, Kyoto University, Japan, September 2003 - December 2003.
- Institut Henri Poincar'e, France, January 2004 - February 2004.
- Scuola Normale Superiore di Pisa, Italy, November 2005.
- Universit'e de Rennes, France, May 2006.
- Ecole Polytechnique, France, March 2010 - March 2011.
** Visitors [#o40df13e]
- Vincent Naudot (Kyoto University, Japan), 1998.
- Duncan Sands (State University of New York at Stony Brook, USA), July 1998.
- John H. Hubbard (Cornell University, USA and Universit'e de Provence, France), May 2001.
- Charles Favre (CNRS and Universit'e de Paris VII, France), July 2003.
- Pieter Collins (CWI, The Netherlands), February 2005.
- Yi-Chiuan Chen (Academia Sinica, Taiwan), November - December 2006.
- Anton Zorich (Universit'e de Rennes, France), May 2008.
**Research areas [#df4c13bd]
Dynamical systems (in particular, low-dimensional dynamics, symbolic dynamics, and complex dynamics). ~
Key words are; Lozi map, kneading theory, pruning front, lap number entropy formula, monotonicity of entropy, boundary of chaos, real and complex H'enon map, Julia set, hyperbolicity, Hubbard tree, horseshoe locus.
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*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: 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). ~
See also the comments on this article.
- 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).
- Review of a paper by Sarah Koch. ~
for Mathematical Reviews (2011).
**Books [#u6ca74d7]
- Japanese translation of "An Introduction to Chaotic Dynamical Systems" by R. Devaney (with H. Kokubu, M. Kisaka and S. Nii). ~
Kyoritsu Publisher.
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*Travel Plans [#v29e1f1e]
**2011 [#t3746d36]
- Seminar at Universite de Rennes, January 9 - 11, Rennes, France ~
- Seminar at Warwick University, January 24 - 25, Warwick, UK ~
- Seminar at Universite de Paris VI (Jussieu), February 1, Paris, France ~
- Seminar at Scuola Normale Superiore di Pisa, February 9 - 11, Pisa, Italy ~
- SIAM Conference on Applied Dynamics, May 21 - 26, Snowbird, USA ~
- Kyoto Symposium on Complex Analysis in Several Variables XIV, July 18 - 21, Kyoto, Japan ~
- Gottingen-Penn State International Summer School, August 7 - 14, Gottingen, Germany ~
- Summer School on "Entropy Structure", September 19 - 23, Kyoto, Japan ~
- Symposium on Complex Analysis, October 8 - 10, Chiba, Japan ~
- Workshop at RIMS, November 21 - 25, Kyoto, Japan ~
- Automorphisms of Algebraic Varieties, December 19 - 23, Shirahama, Japan ~
**2010 [#u28fca06]
- Seminar at Kyoto University, January 29 - 30, Kyoto, Japan ~
- Seminar at Universite de Provence, June 13 - 15, Marseille, France ~
- Visit to Georg-August-Universitat Gottingen, August 24 - 26, Gottingen, Germany ~
- Seminar at Institut Henri Poincare, October 22, Paris, France ~
- Seminar at Universite de Paris VI & VII (Chevaleret), October 29, Paris, France ~
- Seminar at Ecole Polytechnique, November 8, Palaiseau, France ~
- Seminar at Universite Paris-Sud, November 15, Orsay, France ~
![[PukiWiki]](image/pukiwiki.png "[PukiWiki]")
