1 citations · 2 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
Standard words and solutions of the word equation
Jarkko Peltomäki, Aleksi Saarela
We consider solutions of the word equation such that the squares are minimal squares found in optimal squareful infinite words. We…
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…
Automatic sequences based on Parry or Bertrand numeration systems
Adeline Massuir, Jarkko Peltomäki, Michel Rigo
We study the factor complexity and closure properties of automatic sequences based on Parry or Bertrand numeration systems. These automatic sequences can be viewed as generalizatio…
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…