anti powers in innite words 1 2 3 gabriele fici antonio restivo manuel silva and 4 luca q zamboni 1 dipartimento di matematica e informatica universita di palermo palermo italy ...
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...Anti powers in innite words gabriele fici antonio restivo manuel silva and luca q zamboni dipartimento di matematica e informatica universita palermo italy unipa it faculdade de ciencias tecnologia universidade nova lisboa lisbon portugal mnasilva gmail com institut camille jordan universite claude bernard lyon france math univ fr abstract combinatorics of a concatenation k consecutive equal blocks is called power order this paper we take dierent point view dene an as pairwise distinct the same length main result show that every word contains any or existence unavoidable regularity indeed prove stronger which relates density to factor occurs with arbitrary exponent from these results derive at position aperiodic uniformly recurrent start further avoiding ultimately periodic there exist also leave open question whether for acm subject classication f formal languages keywords phrases avoidability digital object identier lipics icalp introduction suppose you are room hundred people somebo...