Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A proof of Dejean’s conjecture - MaRDI portal

A proof of Dejean’s conjecture

From MaRDI portal
Publication:3168740

DOI10.1090/S0025-5718-2010-02407-XzbMath1215.68192arXiv0905.1129OpenAlexW2148206455WikidataQ57253997 ScholiaQ57253997MaRDI QIDQ3168740

Narad Rampersad, James D. Currie

Publication date: 19 April 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1129




Related Items (49)

Fractional meanings of nonrepetitivenessTransition Property for $$\alpha $$-Power Free Languages with $$\alpha \ge 2$$ and $$k\ge 3$$ LettersThe critical exponent functionsBranching frequency and Markov entropy of repetition-free languages\((2+\epsilon )\)-nonrepetitive list colouring of pathsFewest repetitions in infinite binary wordsOn Abelian repetition thresholdThe undirected repetition threshold and undirected pattern avoidanceGrowth of power-free languages over large alphabetsOn minimal critical exponent of balanced sequencesMinimal critical exponent of quasiperiodic wordsCircular repetition thresholds on some small alphabets: last cases of Gorbunova's conjectureApproaching repetition thresholds via local resampling and entropy compressionInterview with Jeffrey ShallitAbelian combinatorics on words: a surveyCritical Exponents of Regular Arnoux-Rauzy SequencesComputing maximal-exponent factors in an overlap-free wordTight Upper Bounds on Distinct Maximal (Sub-)Repetitions in Highly Compressible StringsExtensions and reductions of squarefree wordsAn upper bound on asymptotic repetition threshold of balanced sequences via colouring of the Fibonacci sequenceAvoidance of split overlapsExtremal overlap-free and extremal \(\beta\)-free binary wordsOn the number of Dejean words over alphabets of 5, 6, 7, 8, 9 and 10 lettersFewest repetitions versus maximal-exponent powers in infinite binary wordsGrowth properties of power-free languagesAvoiding abelian powers cyclicallyOstrowski-automatic sequences: theory and applicationsLower-bounds on the growth of power-free languages over large alphabetsOn avoidability of formulas with reversalEfficient computation of maximal anti-exponent in palindrome-free stringsOn repetition thresholds of caterpillars and trees of bounded degreeBounds for the generalized repetition thresholdLast cases of Dejean's conjectureOn shuffling of infinite square-free wordsThe Number of Threshold Words on $n$ Letters Grows Exponentially for Every $n\geq 27$On the growth rates of complexity of threshold languagesGrowth rates of complexity of power-free languagesOn the D0L Repetition ThresholdNonrepetitive list colorings of the integersHighly nonrepetitive sequences: Winning strategies from the local lemmaNonrepetitive and pattern-free colorings of the planeThe repetition threshold for binary rich wordsDejean's conjecture holds for N ≥ 27ON PANSIOT WORDS AVOIDING 3-REPETITIONSSubword complexity and power avoidanceAbelian repetition threshold revisitedThe weak circular repetition threshold over large alphabetsAsymptotic repetitive threshold of balanced sequencesRich square-free words



Cites Work


This page was built for publication: A proof of Dejean’s conjecture