6533b826fe1ef96bd128493a

RESEARCH PRODUCT

BALANCE PROPERTIES AND DISTRIBUTION OF SQUARES IN CIRCULAR WORDS

Antonio RestivoSabrina MantaciRoberto Mantaci

subject

combinatoria delle parole parole circolari parole bilanciateCombinatoricsCombinatorics on wordsSettore INF/01 - InformaticaComputer Science (miscellaneous)Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Computer Science::Formal Languages and Automata TheoryMathematics

description

We study balance properties of circular words over alphabets of size greater than two. We give some new characterizations of balanced words connected to the Kawasaki-Ising model and to the notion of derivative of a word. Moreover we consider two different generalizations of the notion of balance, and we find some relations between them. Some of our results can be generalized to non periodic infinite words as well.

https://doi.org/10.1142/s0129054110007477