yutaka の変更点 - PukiWiki

&size(24){Yutaka ISHII (石井 豊)}; ~

#ref(Daguerre.JPG) ~
&size(12){(Caf'e 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

Number of visitors to this webpage: &counter;

#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 conf'erence (mois d'invit'e), Universit'e Paris-Sud (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 Paris-Sud (Orsay), France, July 1994 - August 1996.
- IMS, SUNY at Stony Brook, USA, November 1997 - December 1997.
- Cornell University, USA, October 1999 - September 2000.
- Universit'e Paris-Sud (Orsay), France, March 2001.
- Cornell University, USA, September 2001.
- Universit'e Paris-Sud (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.
- David Burguet (Ecole Normale Superieure Cachan, France), September 2011.
- Yi-Chiuan Chen (Academia Sinica, Taiwan), October 2011.
- Volodymyr Nekrashevych (Texas A&M University, USA), January 2012.

**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.

#br

*Publications and Preprints [#t830a1d2]

**H'enon 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. ~
Preprint (2011).

- On the parameter loci of the H'enon family. (with Z. Arai) ~
In preparation (2012).

**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 (2012).

**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 H'enon 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).

- Describing the Julia sets by group actions. (in Japanese) ~
Notes for a lecture in an annual meeting of the Mathematical Society of Japan (2008).

- Review of a paper by Sarah Koch. ~
A document 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.

#br

*Travel Plans [#v29e1f1e]

**2013 [#d5b65d46]

- Project workshop, June 10 - 14, RIMS at Kyoto University, Kyoto, Japan ~
- Pacific Rim Conference on Mathematics 2013, July 1 - 5, Hokkaido University, Sapporo, Japan ~
- Dynamics, Entropy and Semialgebraic Sets, July 8 - 12, RIMS at Kyoto University, Kyoto, Japan ~

**2012 [#h9cc3e60]

- Integrated Research on Complex Dynamics, January 23 - 25, RIMS at Kyoto University, Kyoto, Japan ~
- Research visit, March 4 - 9, University of Tokyo, Tokyo, Japan ~
- Recent Progress in Lagrangian & Hamiltonian Dynamics, June 3 - 11, Ecole Normale Superi'eure de Lyon, Lyon, France ~
- Research visit, August 20 - 25, Hokkaido University, Sapporo, Japan ~
- Dynamics School on differential Galois theory, September 14 - 17, Kyushu Seminar House, Kuju, Japan ~
- Annual meeting of the Mathematical Society of Japan, September 18 - 21, Kyushu University, Fukuoka, Japan ~
- Research visit, September 25, Integrated Research Center of Kobe University, Kobe, Japan ~
- Informal seminar: Dynamics and Geometry, November 25 - December 2, Harvard University, Boston, USA ~
- Workshop on Holomorphic Vector Fields and Foliations, December 7 - 9, Ryukoku University Seminar House, Kyoto, Japan ~
- New Progress in Complex Dynamical Systems, December 10 - 14, RIMS at Kyoto University, Kyoto, Japan ~

**2011 [#t3746d36]

- S'eminaire de Th'eorie Ergodique, January 9 - 11, Universit'e de Rennes, Rennes, France ~
- Ergodic Theory and Dynamical Systems Seminar, January 24 - 25,  Warwick University, Coventry, UK ~
- S'eminaire de Th'eorie Ergodique, February 1, Universit'e de Paris VI (Jussieu), Paris, France ~
- Seminario di Sistemi Dinamici Olomorfi, February 9 - 11, Scuola Normale Superiore, Pisa, Italy ~
- SIAM Conference on Applications of Dynamical Systems, May 21 - 26, Snowbird Ski and Summer Resort, Snowbird, USA ~
- Kyoto Symposium on Complex Analysis in Several Variables XIV,  July 18 - 21, Kyoto University, Kyoto, Japan ~
- G"ottingen-Penn State International Summer School, August 7 - 14, Georg-August-Universit"at G"ottingen, G"ottingen, Germany ~
- Summer School on Entropy Structure, September 19 - 23, Kyoto University, Kyoto, Japan ~
- Symposium on Complex Analysis, October 8 - 10, Chiba University, Chiba, Japan ~
- Frontiers in Dynamical Systems and Topology, November 21 - 25, RIMS at Kyoto University, Kyoto, Japan ~
- Automorphisms of Algebraic Varieties, December 19 - 23, Hotel Laforet, Shirahama, Japan ~

**2010 [#u28fca06]

- Dynamics Seminar, January 29 - 30, Kyoto University, Kyoto, Japan ~
- Alg'ebre Dynamique et Topologie, June 13 - 15, Universit'e de Provence, Marseille, France ~
- Research visit, August 24 - 26, Georg-August-Universit"at G"ottingen, G"ottingen, Germany ~
- S'eminaire COOL, October 22, Institut Henri Poincar'e, Paris, France ~
- S'eminaire de Syst`emes Dynamiques, October 29, Universit'e de Paris VI & VII (Chevaleret), Paris, France ~
- S'eminaire de G'eom'etrie Ergodique, November 8, Ecole Polytechnique, Palaiseau, France ~
- Groupe de travail, November 15, Universit'e Paris-Sud (Orsay), Orsay, France ~


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