Some combinatorial properties of Sturmian words

From MaRDI portal
Publication:1349698

DOI10.1016/0304-3975(94)00035-HzbMath0874.68245OpenAlexW2006661113MaRDI QIDQ1349698

Filippo Mignosi, Aldo De Luca

Publication date: 27 February 1997

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(94)00035-h




Related Items

Bit catastrophes for the Burrows-Wheeler transformWords and special factorsMinimal forbidden factors of circular wordsCOMBINATORIAL PROPERTIES OF STURMIAN PALINDROMESMULTIPSEUDOPERIODIC WORDSOccurrences of palindromes in characteristic Sturmian wordsExponents of Diophantine approximation in dimension 2 for a general class of numbersRECENT RESULTS ON EXTENSIONS OF STURMIAN WORDSThe sequence of open and closed prefixes of a Sturmian wordNovel results on the number of runs of the Burrows-Wheeler-transformCharacterisations of balanced words via orderingsMoments of conjugacy classes of binary wordsAutomata and forbidden wordsOn a generalization of Christoffel words: epichristoffel wordsWords that almost commuteA note on the Markov condition and central wordsGeneralized Hausdorff dimensions of sets of real numbers with zero entropy expansionPalindromes in the Fibonacci wordOn the structure of bispecial Sturmian wordsFarey codes and languagesPalindromic prefixes and episturmian wordsMinimal complexity of equidistributed infinite permutationsCounting Lyndon factorsA periodicity result of partial words with one holeRandom generation of finite Sturmian wordsThe Burrows-Wheeler Transform between Data Compression and Combinatorics on Words\(\alpha\)-words and factors of characteristic sequencesOn Sturmian graphsOn the conjugation of standard morphismsSturmian words: structure, combinatorics, and their arithmeticsWords with many palindrome pair factorsSturmian words, Lyndon words and treesStandard Sturmian morphismsA representation theorem of the suffixes of characteristic sequencesReprint of: ``Palindromization and construction of Markoff triplesEuclidean stringsSturmian graphs and integer representations over numeration systemsWeak repetitions in Sturmian strings.A new geometric approach to Sturmian wordsSturmian and Episturmian WordsLocating factors of a characteristic word via the generalized Zeckendorf representation of numbersA standard correspondence on epicentral wordsPalindromes and Sturmian wordsSturmian morphisms and \(\alpha\)-wordsA combinatorial view on string attractorsGraph connectivity, partial words, and a theorem of Fine and WilfOn generating binary words palindromicallyFine and Wilf words for any periodsDecimations and sturmian wordsA remark on morphic sturmian wordsTwo-variable word equationsStandard Sturmian words and automata minimization algorithmsCombinatorial properties of sequences defined by the billiard in the tesselation trianglesFrequencies of factors of Sturmian sequencesA division property of the Fibonacci wordCyclic complexity of wordsGeneralized Sturmian languagesOn an involution of Christoffel words and Sturmian morphismsSturmian numeration systems and decompositions to palindromesDiscrete segments of \(\mathbb{Z}^3\) constructed by synchronization of wordsCodes of central Sturmian wordsMinimal non-convex wordsSome characterizations of finite Sturmian words.On the number of episturmian palindromesFactors of characteristic words of irrational numbersLanguages under substitutions and balanced wordsFactors of characteristic words: location and decompositionsCharacteristic Sturmian words are extremal for the critical factorization theoremOn factorially balanced sets of wordsPseudopalindrome closure operators in free monoidsOn Christoffel and standard words and their derivativesA characterization of Sturmian sequences by indistinguishable asymptotic pairsSturmian morphisms, the braid group \(B_4\), Christoffel words and bases of \(F_2\)A palindromization map on free monoidsOn \(\theta\)-episturmian wordsPalindromization and construction of Markoff triplesOn Lazy Representations and Sturmian GraphsA Challenging Family of Automata for Classical Minimization AlgorithmsBurrows-Wheeler transform and Sturmian wordsOn Christoffel classesUnbordered factors of the characteristic sequences of irrational numbersOn Sturmian and episturmian words, and related topicsTwo linear-time algorithms for computing the minimum length polygon of a digital contourHarmonic and gold Sturmian wordsWell-balanced sequencesSOME EXTREMAL PROPERTIES OF THE FIBONACCI WORDA NEW COMPLEXITY FUNCTION FOR WORDS BASED ON PERIODICITYOn graphs of central episturmian wordsOn the combinatorics of finite wordsFine and Wilf's theorem for three periods and a generalization of Sturmian wordsFurther steps on the reconstruction of convex polyominoes from orthogonal projectionsRepetitions in Sturmian stringsRepetitive perhaps, but certainly not boringForbidden words in symbolic dynamicsObituary: Aldo de Luca 1941--2018Semiperiodic words and root-conjugacy.Second Order Balance Property on Christoffel WordsSturmian words and the Stern sequenceOn bispecial factors of the Thue-Morse wordWords and forbidden factorsCombinatorial, ergodic and arithmetic properties of the Tribonacci substitutionOn low-complexity bi-infinite words and their factorsOn a group theoretic generalization of the Morse-Hedlund theoremStudies on finite Sturmian wordsAsymptotic formula for balanced words



Cites Work