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7 research outputs found

Weak local rules for planar octagonal tilings

Author: A. Julien
A. Katz
A. Katz
Ch. Goodman-Strauss
F. P. M. Beenker
J. E. S. Socolar
J. E. S. Socolar
L. S. Levitov
M. Baake
M. Kleman
M. Senechal
N. Bédaride
N. Bédaride
N. Bédaride
N. G. Bruijn De
Nicolas Bédaride
S. E. Burkov
S. Mozes
T. Q. T. Le
T. Q. T. Le
T. Q. T. Le
T. Q. T. Le
T. Q. T. Le
T. Q. T. Le
Th. Fernique
Thomas Fernique
W. V. D. Hodge
Publication venue: 'Springer Science and Business Media LLC'
Publication date: 13/01/2016
Field of study

We provide an effective characterization of the planar octagonal tilings which admit weak local rules. As a corollary, we show that they are all based on quadratic irrationalities, as conjectured by Thang Le in the 90s.Comment: 23 pages, 6 figure

arXiv.org e-Print Archive

Symbolic Dynamics of a Piecewise Rotation: Case of the Non Symmetric Bijective Maps

Author: A Goetz
Idrissa Kaboré
M Boshernitzan
N Bédaride
Nicolas Bédaride
NP Fogg
Publication venue: 'Springer Science and Business Media LLC'
Publication date
Field of study

Tower power for S-adics

Author: AB Katok
Arnaud Hilion
F Durand
M Adamska
Martin Lustig
N Bédaride
Nicolas Bédaride
P Walters
S Bezuglyi
S Bezuglyi
S Ferenczi
V Berthé
WA Veech
Publication venue: 'Springer Science and Business Media LLC'
Publication date
Field of study

Weak local rules for planar octagonal tilings

Author: A. Julien
A. Katz
A. Katz
Ch. Goodman-Strauss
F. P. M. Beenker
J. E. S. Socolar
J. E. S. Socolar
L. S. Levitov
M. Baake
M. Kleman
M. Senechal
N. Bédaride
N. Bédaride
N. Bédaride
N. G. Bruijn De
Nicolas Bédaride
S. E. Burkov
S. Mozes
T. Q. T. Le
T. Q. T. Le
T. Q. T. Le
T. Q. T. Le
T. Q. T. Le
T. Q. T. Le
Th. Fernique
Thomas Fernique
W. V. D. Hodge
Publication venue: 'Springer Science and Business Media LLC'
Publication date
Field of study

Perron-Frobenius theory and frequency convergence for reducible substitutions

Author: B. Lemmens
Caglar Uyanik
G. M. Engel
H. Schneider
M. Akian
M. Hama
M. Lustig
M. Queffélec
Martin Lustig
N. Bédaride
P. Butkovič
S. Bezuglyi
S. Ferenczi
U. G. Rothblum
Publication venue: 'American Institute of Mathematical Sciences (AIMS)'
Publication date: 01/01/2017
Field of study

The Number of Khalimsky-Continuous Functions between Two Points

Author: A. Rosenfeld
A.W.M. Smeulders
C. Ronse
C.A. Berenstein
C.O. Kiselman
E. Melin
E.D. Khalimsky
J. Koplowitz
M.N. Huxley
N. Bédaride
R. Klette
S. Maloň
S. Samieinia
S. Samieinia
S. Samieinia
Y.M. Sharaiha
Publication venue: 'Springer Science and Business Media LLC'
Publication date: 01/01/2011
Field of study

Thermodynamic formalism and $k$ -bonacci substitutions

Author: A. Baraviera
B. Mossé
D. Coronel
D. Ruelle
F. Durand
G. Rauzy
H. Bruin
H. Bruin
J. Cassaigne
Jordan Emme
M. Queffélec
N. Bédaride
O. Sarig
P. Arnoux
R. Bowen
Publication venue: 'American Institute of Mathematical Sciences (AIMS)'
Publication date
Field of study

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