6533b85bfe1ef96bd12ba29f

RESEARCH PRODUCT

Balance Properties and Distribution of Squares in Circular Words

Roberto MantaciAntonio RestivoSabrina Mantaci

subject

CombinatoricsBalance (metaphysics)Distribution (number theory)Settore INF/01 - InformaticaComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Combinatoria delle Parole Parole Sturmiane parole circolari Parole BilanciateComputer Science::Formal Languages and Automata TheoryBinary alphabetWord (group theory)Mathematics

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 generalised to non periodic infinite words as well.

yearjournalcountryeditionlanguage
2008-01-01
http://hdl.handle.net/10447/40114