4 citations · 21 across the 13 of their papers we have counts for
5 papers · 1 filter
q-Parikh Matrices and q-deformed binomial coefficients of words
Antoine Renard, Michel Rigo, Markus A. Whiteland
We have introduced a q-deformation, i.e., a polynomial in q with natural coefficients, of the binomial coefficient of two finite words u and v counting the number of occurrences of…
The boundedness and zero isolation problems for weighted automata over nonnegative rationals
Wojciech Czerwiński, Engel Lefaucheux, Filip Mazowiecki +2
We consider linear cost-register automata (equivalent to weighted automata) over the semiring of nonnegative rationals, which generalise probabilistic automata. The two problems of…
Avoiding abelian powers cyclically
Jarkko Peltomäki, Markus A. Whiteland
We study a new notion of cyclic avoidance of abelian powers. A finite word avoids abelian -powers cyclically if for each abelian -power of period occurring in the inf…
Every nonnegative real number is an abelian critical exponent
Jarkko Peltomäki, Markus A. Whiteland
The abelian critical exponent of an infinite word is defined as the maximum ratio between the exponent and the period of an abelian power occurring in . It was shown by Fici…
More on the dynamics of the symbolic square root map
Jarkko Peltomäki, Markus Whiteland
In our earlier paper [A square root map on Sturmian words, Electron. J. Combin. 24.1 (2017)], we introduced a symbolic square root map. Every optimal squareful infinite word co…