Balance properties of multi-dimensional words

[1]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[2]  J. Littlewood,et al.  Some problems of diophantine approximation , 1914 .

[3]  A. Ostrowski.  Bemerkungen zur Theorie der Diophantischen Approximationen , 1922 .

[4]  G. A. Hedlund,et al.  Symbolic Dynamics II. Sturmian Trajectories , 1940 .

[5]  H. Kesten.  On a conjecture of Erdös and Szüsz related to uniform distribution mod 1 , 1966 .

[6]  Ronald L. Graham,et al.  Covering the Positive Integers by Disjoint Sets of the Form {[n alpha + beta]: n = 1, 2, ...} , 1973, J. Comb. Theory, Ser. A.

[7]  Gérard Rauzy.  Ensembles à restes bornés. , 1984 .

[8]  S. Dulucq,et al.  On the factors of the Sturmian sequences , 1990 .

[9]  Dominique Gouyou-Beauchamps,et al.  Sur les Facteurs des Suites de Sturm , 1990, Theor. Comput. Sci..

[10]  Filippo Mignosi,et al.  On the Number of Factors of Sturmian Words , 1991, Theor. Comput. Sci..

[11]  Gérard Rauzy,et al.  Représentation géométrique de suites de complexité $2n+1$ , 1991 .

[12]  Sébastien Ferenczi.  Bounded remainder sets , 1992 .

[13]  Tom C. Brown,et al.  Sums of Fractional Parts of Integer Multiples of an Irrational , 1995 .

[14]  R. Tijdeman,et al.  On complementary triples of Sturmian bisequences , 1996 .

[15]  Anton Zorich,et al.  Deviation for interval exchange transformations , 1997, Ergodic Theory and Dynamical Systems.

[16]  Christopher Pinner.  On Sums of Fractional Parts {nα+γ} , 1997 .

[17]  Laurent Vuillon,et al.  Combinatoire des motifs d'une suite sturmienne bidimensionnelle , 1998, Theor. Comput. Sci..

[18]  Laurent Vuillon.  Combinatorics of patterns of a bidimensional Sturmian sequence. , 1998 .

[19]  Robert Tijdeman.  Fraenkel's conjecture for six sequences , 2000, Discret. Math..

[20]  Sébastien Ferenczi,et al.  Imbalances in Arnoux-Rauzy sequences , 2000 .

[21]  Pascal Hubert,et al.  Suites équilibrées , 2000, Theor. Comput. Sci..

[22]  Eitan Altman,et al.  Balanced sequences and optimal routing , 2000, JACM.

[23]  Valérie Berthé,et al.  Suites doubles de basse complexité , 2000 .

[24]  Laurent Vuillon,et al.  Tilings and rotations on the torus: a two-dimensional generalization of Sturmian sequences , 2000, Discret. Math..

[25]  Giuseppe Pirillo,et al.  Episturmian words and some constructions of de Luca and Rauzy , 2001, Theor. Comput. Sci..

[26]  R. TijdemanMay.  Exact Covers of Balanced Sequences and Fraenkel's Conjecture. , 2001 .

[27]  Laurent Vuillon,et al.  Generalized balances in Sturmian words , 2002, Discret. Appl. Math..

[28]  J. van Leeuwen,et al.  Theoretical Computer Science , 2003, Lecture Notes in Computer Science.