## DYNAMICS OF COMPLEX SYSTEMS 2012

- Date
- 2012-3-6 - 2012-3-8
- Place
- Hokkaido University, Faculty of Science, Bldg #5, 5-201
- Organizer
- Michiko Yuri, Ichiro Tsuda, Takao Namiki (Hokkaido Univ.)
**International Conference --- DYNAMICS OF COMPLEX SYSTEMS 2012 ---**

March 6(Tuesday) - March 8(Thursday), 2012

Hokkaido University, Faculty of Science、

Bldg #5, 5-201 (Kita 10, Nishi 8, Kita-ku, Sapporo JAPAN)

The conference will focus on Mathematical modeling and methods which

are relevant in predicting complex phenomena. Our aim is to re-consider

" Limitations on predictability " from ergodic theoretical point of view.

Special attention will be paid to the application in neuroscience, physics,

chemistry and economics.

In the end of the conference, there will be a session for "more

questions than

answers" in which the following themes will be discussed.

・Nonhyperbolic phenomena

・Nonstationary process and random dynamical systems

・Large deviation principle

Organizers : Michiko Yuri, Ichiro Tsuda, Takao Namiki

#### Program(JPEG)

**»**Program (PDF:21.1MB)

**PROGRAM****March 6 (Tuesday), 2012**

10:00 - 11:00 Yakov Pesin (Penn State Univeristy)

" Genericity of chaotic behavior "

11:15 - 12:15 Vitaly Bergelson (Ohaio State University)

" Dynamical systems with continuous spectrum: some new results and open

problems "

12:15 - 13:45 Lunch

13:45 - 14:45 Omri Sarig (The Weizmann Instutute for Science)

" Symbolic dynamics for surface diffeomorphisms "

15:00 - 15:45 Hitoshi Nakada (Keio University)

" On costs of some Euclidean type algorithms over F_q[X]3 "

15:55 - 16:35 Naoya Sumi (Tokyo Institute of Technology)

" On the ergodicity of hyperbolic SRB measures

(joint work with M. Hirayama)"

16:45 - 17:45 Yoichiro Takahashi (Tokyo University)

" Unitary matrices and random permutations: conjecture and degenerated

Laplacian "

**March 7 (Wednesday), 2012**

10:00 - 11:00 Tamiki Komatsuzaki (RIES Hokkaido University)

" The dynamical origin of reactions: why and how does a system change

its state?

11:15 - 12:15 Yuri Kifer (Hebrew University)

" Nonconventional limit theorems in probabality and dynamical systems "

12:15 - 13:40 Lunch

13:40 - 14:40 Yoji Aizawa (Waseda University)

" Empirical laws of earthquake statistics in view of Chaos theory "

14:55 - 15:55 Manfred Denker（Penn State University)

" Iterated functions systems: a general approach with applications "

16:05 - 16:35 Johannes Jaerisch (Osaka University)

" A Fr\'{e}chet law for Maximal Cuspidal Windings

(joint work with Marc Kesseb\"ohmer and Bernd Stratmann)"

16:50 - 17:40 Michiko Yuri (Hokkaido University)

" Nonequilibrium steady states with internal noise:

dicidability of the infinite past and time reversibility "

18:05 - 20:05 Banquet

**March 8 (Thursday), 2012**

9:40 - 10:40 Ichiro Tsuda (RIES Research Center for Integrative Mathematics

Hokkaido University)

" Communicating brains: the origin of mind "

10:50 - 11:30 Chun Biu Li (RIES Hokkaido University)

"An information theoretic approach to dynamical irreversibility from

time series "

11:40 - 12:25 Makoto Mori (Nihon University)

" Higher dimensional random sequence and dynamical system with fractal

structure "

12:25 - 14:00 Lunch

14:00 - 17:30 " More questions than answers "

Yong Moo Chung (Hiroshima University)

" Large deviation principle for Benedicks-Carleson quadratic maps

(joint work with Hiroki Takahasi)"

Hiroki Takahasi (Tokyo University)

" Multifractal formalism for Benedicks-Carleson quadratic maps

(joint work with Yong Moo Chung) "

(5 minutes break)

Shinnosuke Kawai (RIES Hokkaido University)

" Dynamics of Molecules Analyzed by the Generalized Langevin Equation "

Soya Shinkai (Waseda University)

" Anomalous diffusion driven by infinite ergodic systems "

Masaki Nakagawa (Waseda University)

" Ergodic theory of transient behaviors "

(10 minutes break)

Hiroki Sumi (Osaka University)

" Randomness-induced phenomena in random complex dynamics "

Yukiko Iwata (Tokyo University)

" Some random dynamical systems "

**Poster Session :**

Satoru Tsugawa (Waseda University)

" On the stickiness properties of perturbed mushroom billiards "

Yoshitaka Saiki (Hokkaido University)

" Numerical study of non-hyperbolic dynamics through Lyapunov vectors "

Miki U. Kobayashi(Tokyo University)

" Manifold structures of unstable periodic orbits and the appearance

of periodic windows in chaotic systems "

Yong Moo Chung (Hiroshima University)

" Large deviation principle for Benedicks-Carleson quadratic maps

(joint work with Hiroki Takahasi)"

Hiroki Takahasi (Tokyo University)

" Multifractal formalism for Benedicks-Carleson quadratic maps

(joint work with Yong Moo Chung) "

Masaki Nakagawa (Waseda University)

" Transient behaviors and absolutely continuous invariant measures

of dissipative ergodic transformation with infinite measure "

Soya Shinkai (Waseda University)

" Anomalous diffusion driven by infinite ergodic systems "

Shinnosuke Kawai (RIES Hokkaido University)

" Dynamics of Molecules Analyzed by the Generalized Langevin Equation "

Yukiko Iwata (Tokyo University)

" Some random dynamical systems "