Beta-integers as natural counting systems for quasicrystals

JOURNAL ARTICLE published 31 July 1998 in Journal of Physics A: Mathematical and General

Authors: C Burdik | Ch Frougny | J P Gazeau | R Krejcar

BETA-INTEGERS AS A GROUP

PROCEEDINGS ARTICLE published July 2000 in Dynamical Systems

Authors: ČESTMIR BURDíK | CHRISTIANE FROUGNY | JEAN-PIERRE GAZEAU | RUDOLPH KREJCAR

Counting Systems with Irrational Basis for Quasicrystals

BOOK CHAPTER published 2000 in From Quasicrystals to More Complex Systems

Authors: J. P. Gazeau | R. Krejcar

Additive and multiplicative properties of point sets based on beta-integers

JOURNAL ARTICLE published July 2003 in Theoretical Computer Science

Authors: Christiane Frougny | Jean-Pierre Gazeau | Rudolf Krejcar

Asymptotic Behavior of Beta-Integers

JOURNAL ARTICLE published June 2008 in Letters in Mathematical Physics

Authors: Lubomira Balková | Jean-Pierre Gazeau | Edita Pelantová

Wavelet multiresolutions for the Fibonacci chain

JOURNAL ARTICLE published 4 February 2000 in Journal of Physics A: Mathematical and General

Authors: Miroslav Andrle | Cestmír Burdík | Jean Pierre Gazeau | Rudolf Krejcar

Energy gauge and electron confinement in quasicrystals

JOURNAL ARTICLE published 16 January 1998 in Journal of Physics A: Mathematical and General

Authors: Peter Kramer

Minimal distances in quasicrystals

JOURNAL ARTICLE published 13 February 1998 in Journal of Physics A: Mathematical and General

Authors: Z Masáková | J Patera | E Pelantová

A symmetry group of a Thue - Morse quasicrystal

JOURNAL ARTICLE published 12 June 1998 in Journal of Physics A: Mathematical and General

Authors: Jean-Pierre Gazeau | Jacek Miekisz

Octagonal quasicrystals and a formula for shelling

JOURNAL ARTICLE published 20 November 1998 in Journal of Physics A: Mathematical and General

Authors: Jun Morita | Kuniko Sakamoto

Self-similar Delone sets and quasicrystals

JOURNAL ARTICLE published 29 May 1998 in Journal of Physics A: Mathematical and General

Authors: Zuzana Masáková | Jirí Patera | Edita Pelantová

Geometric study of the beta-integers for a Perron number and mathematical quasicrystals

JOURNAL ARTICLE published 2004 in Journal de Théorie des Nombres de Bordeaux

Authors: Jean-Pierre Gazeau | Jean-Louis Verger-Gaugry

Inflation centres of the cut and project quasicrystals

JOURNAL ARTICLE published 6 February 1998 in Journal of Physics A: Mathematical and General

Authors: Zuzana Masáková | Jirí Patera | Edita Pelantová

On the canonical projection method for one-dimensional quasicrystals and invertible substitution rules

JOURNAL ARTICLE published 8 May 1998 in Journal of Physics A: Mathematical and General

Authors: Jeroen S W Lamb

From Quasicrystals to More Complex Systems

BOOK published 2000

Editors: Françoise Axel | Françoise Dénoyer | Jean-Pierre Gazeau

Symmetry groups for beta-lattices

JOURNAL ARTICLE published June 2004 in Theoretical Computer Science

Authors: Avi Elkharrat | Christiane Frougny | Jean-Pierre Gazeau | Jean-Louis Verger-Gaugry

Voronoi Cells of Beta-Integers

BOOK CHAPTER published 2005 in Developments in Language Theory

Authors: Avi Elkharrat | Christiane Frougny

Limit-(quasi)periodic point sets as quasicrystals withp-adic internal spaces

JOURNAL ARTICLE published 10 July 1998 in Journal of Physics A: Mathematical and General

Authors: Michael Baake | Robert V Moody | Martin Schlottmann

Quasicrystals: atomic coverings and windows are dual projects

JOURNAL ARTICLE published 6 August 1999 in Journal of Physics A: Mathematical and General

Authors: Peter Kramer

Superintegrable systems on the loop algebras

JOURNAL ARTICLE published 27 February 1998 in Journal of Physics A: Mathematical and General

Authors: A V Tsiganov