Multi angle Palindromes patterns
Auteurs : Brlek, Srecko (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : The study of palindromes and their generalizations in a word has gained a lot of interest in the last 20 years, motivated by applications in physics, biology, discrete geometry, to name only a few. Using Sebastien Ferenczi as an example, we illustrate the computation of its palindromic complexity and its relation with the usual factor complexity, via an identity attributed to Brlek and Reutenauer involving also the palindromic defect. Periodic infinite words as well as the family of words with language closed by reversal also satisfy the identity. The identity remains valid when palindromic is replaced by $\sigma$-palindromic, and we also discuss some other patterns.Codes MSC :
68Q45 - Formal languages and automata
68R15 - Combinatorics on words