Boshernitzan, M.; Damanik, David Pinned repetitions in symbolic flows: preliminary results. (English) Zbl 1184.37013 Discrete Contin. Dyn. Syst. 2009, Suppl., 869-878 (2009). 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. Cited in 2 Documents MSC: 37B10 Symbolic dynamics 68R15 Combinatorics on words 37A45 Relations of ergodic theory with number theory and harmonic analysis (MSC2010) Keywords:symbolic flows; subshifts; repetitions; powers; interval exchange transformations PDFBibTeX XMLCite \textit{M. Boshernitzan} and \textit{D. Damanik}, Discrete Contin. Dyn. Syst. 2009, 869--878 (2009; Zbl 1184.37013) Full Text: arXiv