Mathematical Model of quasi-crystals and related topics

RIMS cooperative research will take place under this title. Several surveys on physics of quasi-crystals will be delivered. We welcome anyone who is interested in.

Organizer: Shigeki Akiyama.

Date: 27 Oct - 29 Oct, 2014
Place : RIMS Room 110, Kyoto University

Japanese Version


Monday 27 Oct
12:10 ~ 12:50 Katsunobu Imai (Hiroshima Univ.)
On the homogeneous propagation of signals in cellular automata on quasi periodic tilings.
13:00 ~ 13:40 Ikuro Sato (Miyagi Cancer Center)
Higher dimensional crystals -- as an application of Wythoff arithmetic --.
13:50 ~ 14:50 Tomonari Dotera (Kinki Univ.)
Mosaic quasicrystals: Isosceles triangular tilings.

15:10 ~ 15:50 Nobuhisa Fujita (Tohoku Univ.)
Canonical-cell approach to cluster packing in icosahedral quasicrystals.
16:00 ~ 16:40 Hajime Kaneko (Univ. Tsukuba)
p-adic expansions of algebraic irrational numbers.
16:50 ~ 17:30 Damien Jamet (Univ. H. Poincare - Nancy 1, France)
Combinatorics on arithmetical discrete planes : an overview.
17:30 ~ 17:40 Miho Tagawa (Nagoya Univ.)
DNA-mediated nanoparticle assembly. (Short announcement)


Tuesday 28 Oct
9:00 ~   9:40 Ryoko Tomiyasu (KEK, JST PRESTO)
Application of C-type reduction theory to a lattice determination problem in crystallography.
9:50 ~ 10:50 Horoyuki Takakuta (Hokkaido Univ.)
Structure and physical properties of quasi-crystals.
11:00 ~ 11:40 Shin'ichi Yasutomi (Toho Univ.), Jun'ichi Tamura (Tsuda College)
Multidimensional continued fraction algorithms powered by LLL.

13:00 ~ 13:40 Robert Moody (Univ Victoria, Canada)
A hexagonal tango: how the Taylor-Socolar and Penrose hexagonal tilings dance together. Part 1.
13:40 ~ 14:20 Jeong-Yup Lee (Kwandong Univ., Korea)
A hexagonal tango: how the Taylor-Socolar and Penrose hexagonal tilings dance together. Part 2.

14:40 ~ 15:20 Yasushi Nagai (Keio Univ.)
Finite and infinite sequences in tilings.
15:30 ~ 16:10 Shozo Ishihara (Saitama Pref. Univ.)
Origami model of quasi-crystals.
16:20 ~ 17:00 Akio Hizume (Ryukoku Univ.), Takamichi Sushida (Meiji Univ.), Yoshikazu Yamagishi (Ryukoku Univ.)
Phyllotaxis Voronoi diagram of parabolic spirals.


Wednesday 29 Oct.
9:00 ~   9:40 Hirohito Inoue, Koichiro Naito (Kumamoto Univ.)
Simultaneous approximation problems of p-adic numbers and their applications to cryptography.
  9:50 ~ 10:30 M. Louise A. De las Penas (Ateneo de Manila Univ., Phillipines)
Colour symmetries associated with cyclotomic integers.

10:50 ~ 11:30 Maki Furukado (Yokohama Nat'l Univ.), Shunji Ito (Toho Univ), Shin'ichi Yasutomi (Toho Univ)
The generation of the stepped surface in terms of the modified Jacobi-Perron algorithm.
11:40 ~ 12:20 Jun Yagi (Kochi Univ.)
The configuration space of a model for 5-membered straight-chain hydrocarbon molecules parametrized by chain lengths.


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