✦ LIBER ✦

On sequences resulting from iteration of modified quadratic and palindromic mappings

✍ Scribed by Anton Černý

Book ID: 104326245
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 874 KB
Volume: 188
Category: Article
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(96)00294-0

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✦ Synopsis

Blanchard and Fabre (1994)

have considered description of symbolic systems by sequences obtained by iteration of two mappings $1, and d,, defined by g,(u) = u[u], and L/, J u[u]:, m here the word [u], is obtained from a word u by removing the last ,j symbols. They stated a conjecture thal the iteration of (I, results in an automatic sequence. We prove here that t/, ix. while (1) 1s not, a 2.automatic sequence. Our result is obtained by investigation of two wider classes of sequences.

* E-mail: cerny(qmath-I .sci.kuniv.edu.kw.

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