RIMS Camp Style Seminar

Natural extention of arithmetic algorithms and S-adic system

July 20-24, 2015

Tambara Institute of Mathematical Sciences

Photo1, Photo2, Photo3, Photo4, Photo5

Organizers:
Shigeki Akiyama (Univ. Tsukuba)
Shin'ichi Yasutomi (Toho Univ.)
Hisatoshi Yuasa (Osaka Kyoiku Univ.)
Masamichi Yoshida (Osaka City Univ.)
Hiromi Ei (Hirosaki Univ.)


Monday 20

15:00-17:30 Tomas Schmidt (Oregon State Univ.)
Continued Fraction: Old and New

Tuesday 21
 9:00-11:30 Pierre Arnoux (Univ. Aix-Marseille, Inst. Luminy)
Invariant densities for continued fractions, models of natural extensions and fixed point theorems.
11:30-12:00 Tomas Schmidt (Oregon State Univ.)
Q&A: Farey Map, Tent Map, Minkowski ? function and Keading sequence

15:00-17:30 Yasushi Nagai (Keio Univ.)
Distribution of patches in tilings, tiling spaces and tiling dynamical systems

Wednesday 22

 9:00-11:10 Valérie Berthé (LIAFA, Paris 7 Univ.)
S-adic systems related to continued fractions
11:20-12:00 Dong-Han Kim (Dongguk Univ.)
Subball complexity and Sturmian colorings of regular trees

15:00-17:00 Hisatoshi Yuasa (Osaka Kyoiku Univ.)
Linearly recurrent sequences and S-adic sequences
17:15-18:00 Fumiaki Sugisaki (Kumamoto Univ.)
Necessary and Sufficient condition that Bratteli-Vershik adic system is uniquely ergodic

Thursday 23

 9:00-12:15 Brigitte Vallée (GREYC, CNRS and University of Caen))
Lattice Reduction Algorithms: Euclid, Gauss, LLL; Description and Probablistic Analysis

15:00-15:50 De-Jun Feng (Chinese Univ. Hongkong)
Haussdorff dimension of self-similar sets and measures
16:00-16:50 Tomohiro Ooto (Univ. Tsukuba)
Mahler's classification and a certain class of p-adic numbers
17:00-17:50 Jun'ichi Tamura
The Kolaloski word and transformations on the set of words over Z≥0

Friday 24

 9:00-9:30 Shin'ichi Yasutomi (Toho Univ.)
Certain multidimensional continued fraction algorithm
 9:40-11:15 Masamichi Yoshida (Osaka City Univ.)
Denjoy odometer with cut number 1 or 2