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Mathematica programs to compute overlap coincidence

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Related meetings

Advances on fractals and related topics, 10-14 Dec 2012, at HongKong
Aperiodic 2012, 2-7 Sep 2012, Cairns, Australia
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..)


Research Interest:

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.



Introductory Articles:

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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