Rigidity of self-affine tilings and related topics

This is a RIMS cooperative research meeting. Several surveys will be delivered on rigidity of substitutive systems and tilings. Here `rigidity' means unavoidable algebraic constraints for self-similar tilings and related Delone sets with specific spectral properties.

Organizers: Shigeki Akiyama and Kazushi Komatsu

Date: 20 Dec - 22 Dec, 2011
Place : RIMS 420, Kyoto University

Japanese Version


Tuesday 20 Dec
14:00 ~ 14:30 Fumihiko Nakano (Gakushuin Univ.) & Taizo Sadahiro (Tsuda College)
Domino tilings and minors of hitting matrices.
14:45 ~ 15:15 Hideki Tsuiki (Kyoto Univ.)
Self-homeomorphic tiling of the disk generated by full-folding maps.
15:30 ~ 16:00 Takamichi Sushida, Akio Hizume, Yoshikazu Yamagishi (Ryukoku Univ.)
Voronoi similarity tilings.
16:15 ~ 16:45 Hiromi Ei (Hirosaki Univ.)
Tilings generated by automorphisms on the free group.


Wednesday 21 Dec
9:30 ~ 11:00 Boris Solomyak (Univ. Washington, US)
Some aspects of rigidity in self-affine tilings.
11:10 ~ 12:10 Jeong-Yup Lee (Kwandong Univ., Korea)
Algebraic coincidence and model set in self-affine tilings.

14:00 ~ 14:30 Yukihiro Hashimoto (Aichi Univ. Edu.)
Interval preserving map approximation of 3x+1 problem.
14:40 ~ 15:10 Katsunobu Imai (Hiroshima Univ.)
On cellular automata rules on Penrose tilings. mov1 mov2
15:20 ~ 16:20 Shunji Ito (Kanazawa Univ. Alumni) & Maki Furukado (Yokohama Nat. Univ.)
Non-Pisot substitutions and quasi-periodic tilings.
16:30 ~ 17:00 Hiroko Hayashi, Kazumasa Kawatani, Kazushi Komatsu (Kochi Univ)
Directions of growth in tilings.
17:00 ~ 17:30 Miyuki Komai (Niigata Univ)
On aperiodic monotile by Socolar-Taylor.


Thursday 22 Dec
9:15 ~ 9:45 Hideki Tsuiki (Kyoto Univ.)
Imaginary Cubes.
9:50 ~ 10:20 Yohji Akama (Tohoku Univ.)
Spherical Tilings by Congruent Quadrangles over Pseudo-Double Wheels.
10:25 ~ 11:25 Hui Rao (HuaZhong Normal Univ., China)
Dual systems of algebraic iterated function systems. (10Mb)
11:30 ~ 12:00 Shigeki Akiyama (Niigata Univ.)
Can we construct an easy aperiodic monotile ?

Related meetings 2001 2002 2003 2004 2005 2006(Keio) 2006 2007 2008 2009 2010

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