# American Institute of Mathematical Sciences

2009, 2009(Special): 869-878. doi: 10.3934/proc.2009.2009.869

## Pinned repetitions in symbolic flows: preliminary results

 1 Department of Mathematics, Rice Unviersity, Houston, TX 77005 2 Department of Mathematics, Rice University, Houston, TX 77005

Received  July 2008 Revised  January 2009 Published  September 2009

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.
Citation: Michael Boshernitzan, David Damanik. Pinned repetitions in symbolic flows: preliminary results. Conference Publications, 2009, 2009 (Special) : 869-878. doi: 10.3934/proc.2009.2009.869
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