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Morlet Chair: Tiling and Discrete Geometry, Aug 2017-Jan 2018

New Advances in Symbolic Dynamics (CNRS Thematic School), 1/30-2/3 2017 at CIRM

Mathematical Physics of Quasi-Periodic system and related topics, 7-9 Nov, 2016 at RIMS.

Fractal Geometry and Related Areas 21-22 Mar, 2016 at HKUST

Substitutions and continued fractions 7-11 Mar, 2016 at Paris 7

Number Theory and Ergodic Theory 6-8 Feb, 2016 at Kanazawa

Natural extention of arithmetic algorithms and S-adic system, 20-24 Jul 2015, at Tambara

Workshop on Measurable and Topological Dynamical Systems, 29 Jun - 2 Jul 2015, at NIMS, Korea

FAN workshop in Admont, 9-13 Jun 2015, at Admont, Austria

Number Theory and Ergodic Theory, 7-9 Feb, 2015 at Kanazawa

Mathematical Model of quasi-crystals and related topics , 27-29 Oct, 2014, at RIMS

The Pisot Conjecture , 1-5 Sep 2014, at Leiden

Number Theory and Ergodic Theory, 8-10 Feb 2014, at Kanazawa

Measurable and Topological Dynamical Systems, 11-14 Dec 2013, at Keio

Tilings dynamical system and related topics, 17-19 Sep, 2013, at RIMS

PRIMA 2013, Special Session, 24-28 Jun 2013, at Shanghai

Number theory and Dynamics, Summer School, 17 Jun-5 Jul 2013, at Grenoble

SubTile 2013, 14-18 Jan 2013, at CIRM

Advances on fractals and related topics, 10-14 Dec 2012, at HongKong

Topology of tiling spaces and related topics, 3-5 Oct 2012 at RIMS

Aperiodic 2012, 2-7 Sep 2012, Cairns, Australia

Numeration and Substitution, 4-8 June 2012 at RIMS, Kyoto

Periodic orbits in dynamical systems, 21-25 May 2012 at ESI, Austria

Rigidity of self-similar tilings and related topics, 20-22 Dec 2011 at RIMS

MaThCryst Workshop on Mathematical Crystallography, 2-6 Nov 2011 at Manila

Almost periodic order: spectral, dynamical, and stochastic approaches, 25-30 Sep 2011 at Banff

Piecewise and Low-Dimensional Dynamics, 4-6 July 2011 at Warwick

Numération, 6-10 Jun 2011 at Liège

The Mathematics of Aperiodic Order, 27 Sep -1 Oct 2010 at KIAS

Japan-Korea Workshop on Number Theory and Ergodic Theory, 26-30 Jul 2010 at RIMS

Mathematics of Quasi-Periodic Order,
21-23 Jun 2010 at RIMS (Proceedings Available)

MathInfo : Seminar on Tilings and Substitutions, 2010 at CIRM (discard possible warnings..)

**Pisot number, Number system**

Non-standard way to express numbers, such as beta-expansion, canonical number system, 3/2 number system, Shift radix system, e.t.c. Applications to number theory, Diophantine approximation and others.

**Fractal Tiling, Symbolic Dynamical System**

Tiling associated with discrete dynamical systems. Arithmetic/ergodic studies of number theoretical algorithms. Quasiperiodic structures and their spectral study.

**Uniform Distribution**

Irregularity of distribution of a given sequence. Coding of irrational rotation and its generalization. Continued fractions.

**Automorphic Forms, L-function**

Selberg's trace formula. Riemann Hypothesis of zeta functions. Fourier coefficients of automorphic forms.

**Analytic Number Theory in general**

All topics related to analytic number theory. Primes, integers, special numbers like (Seki-)Benoulli numbers. Multiple zeta function.

Open Problems:

Finiteness and periodicity of beta expansions, Number theoretical and Dynamical
open problems (2009 CIRM)

Pisot expansion in self-inducing systems, Open problems for youngsters (2009 Kanazawa).

Dual Pisot tiling:

Pisot number system and its dual tiling, IOS Press (2007) 133-154.

Shift Radix System:

From number systems to shift radix systems, Nihonkai Math. J. 16 (2005) no. 2, 95-106.

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