2 citations · 2 across the 1 of their papers we have counts for
5 papers
A characterization of Sturmian sequences by indistinguishable asymptotic pairs
Sebastián Barbieri, Sébastien Labbé, Štěpán Starosta
We give a new characterization of biinfinite Sturmian sequences in terms of indistinguishable asymptotic pairs. Two asymptotic sequences on a full -shift are indistingu…
Substitutive structure of Jeandel-Rao aperiodic tilings
Sébastien Labbé
Jeandel and Rao proved that 11 is the size of the smallest set of Wang tiles, i.e., unit squares with colored edges, that admit valid tilings (contiguous edges of adjacent tiles ha…
A self-similar aperiodic set of 19 Wang tiles
Sébastien Labbé
We define a Wang tile set of cardinality 19 and show that the set of all valid Wang tilings is self-similar, aperiodic an…
A Set of Sequences of Complexity
Julien Cassaigne, Sébastien Labbé, Julien Leroy
We prove the existence of a ternary sequence of factor complexity for any given vector of rationally independent letter frequencies. Such sequences are constructed from an i…
On the Zero Defect Conjecture
Sébastien Labbé, Edita Pelantová, Štěpán Starosta
Brlek et al. conjectured in 2008 that any fixed point of a primitive morphism with finite palindromic defect is either periodic or its palindromic defect is zero. Bucci and Vaslet…