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Pinned repetitions in symbolic flows: preliminary results. (English) Zbl 1184.37013
Summary: We consider symbolic flows over finite alphabets and study certain kinds of repetitions in these sequences. Positive and negative results for the existence of such repetitions are given for codings of interval exchange transformations and codings of quadratic polynomials.

MSC:
37B10 Symbolic dynamics
68R15 Combinatorics on words
37A45 Relations of ergodic theory with number theory and harmonic analysis (MSC2010)
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