Tilings dynamical system and related topics

Tiling dynamical system is a generalization of substitutive dynamical system on letters, and has many applications. This is a RIMS cooperative research meeting on it, having broad spectrum. We welcome anyone who is interested in.

Organizer: Shigeki Akiyama.

Date: 17 Sep - 19 Sep, 2013
Place : RIMS Room 111, Kyoto University

Japanese Version


Tuesday 17 Sep
13:30 ~ 14:30 Katsunobu Imai (Hiroshima Univ.)
On the behavior of signals in cellular automata on quasi-periodic tilings.
14:40 ~ 15:40 Benoît Loridant (Leoben Univ.)
Fundamental groups of Rauzy fractals.
15:50 ~ 16:50 Yasushi Nagai (Keio Univ.)
A relation between order of tilings and properties of corresponding dynamical systems.


Wednesday 18 Sep
9:00 ~ 10:00 Takamichi Sushida, Akio Hizume and Yoshikazu Yamagishi (Ryukoku Univ.)
Shape convergence in Voronoi spiral tilings.
10:10 ~ 11:10 Ikuro Sato (Miyagi Cancer Center)
Space filling semi-regular polytopes and their Wythoff arithmetic.
11:20 ~ 12:20 Jörg Thuswaldner (Leoben Univ.)
On S-adic shifts that are conjugate to torus rotations.

13:40 ~ 14:40 Shin'ichi Yasutomi (Toho Univ.) , Maki Furukado (Yokohama Nat'l Univ.) and Shunji Ito (Kanazawa Univ., Alumni)
Algebraic condition on a generation of the 2-dimensional stepped surface via modified Jacobi-Perron algorithm.
14:50 ~ 15:50 Fumihiko Nakano (Gakushuin Univ.) and Taizo Sadahiro (Tsuda College)
A generalization to the carry process.
16:00 ~ 17:00 Robert Moody (Univ. Victoria)
What is pattern?


Thursday 19 Sep
9:00 ~ 9:30 Shozo Ishihara (Saitama Pref. Univ.)
Origami-model of Penrose Tiling.
9:30 ~ 10:30 Klaus Scheicher (Univ. Bodenkultur)
Digit systems with multiple bases.
10:40 ~ 11:10 Hiroko Hayashi
Non-periodic tilings having holes by the regular triangle and square tiles. (Joint work with K. Komatsu)
11:20 ~ 12:20 Shigeki Akiyama (Univ. Tsukuba)
Strong coincidence and overlap coincidence.

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