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## Shallit, Jeffrey O.

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 Author ID: shallit.jeffrey-o Published as: Shallit, J.; Shallit, J. O.; Shallit, Jeffrey; Shallit, Jeffrey O. Homepage: https://cs.uwaterloo.ca/~shallit/ External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 254 Publications since 1975, including 7 Books Reviewing Activity: 25 Reviews
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#### Co-Authors

 38 single-authored 30 Rampersad, Narad 28 Allouche, Jean-Paul Simon 16 Wang, Mingwei 10 Schaeffer, Luke 9 Mousavi, Hamoon 7 Mignosi, Filippo 6 Bach, Eric 6 Goč, Daniel 6 Krieger, Dalia 5 Domaratzki, Michael 5 Ochem, Pascal 5 van der Poorten, Alfred J. 4 Brzozowski, Janusz Antoni 4 Charlier, Emilie 4 Currie, James D. 4 Epifanio, Chiara 4 Gabric, Daniel 4 Krawetz, Bryan 4 Mendès France, Michel 4 Pighizzini, Giovanni 4 Rowland, Eric S. 4 Shur, Arseny M. 4 Xu, Zhi 3 Baranwal, Aseem R. 3 Du, Chen Fei 3 Ellul, Keith 3 Glaister, Ian 3 Grant, Elyot 3 Henshall, Dane 3 Kao, Jui-Yi 3 Lubiw, Anna 3 Manea, Florin 3 Okhotin, Alexander 3 Rajasekaran, Aayush 3 Richmond, L. Bruce 3 Santean, Nicolae 3 Skordev, Gencho S. 3 Smith, Tim 3 Williams, Hugh Cowie 2 Ackerman, Margareta 2 Anderson, Terry L. 2 Au, Yu-Hin 2 Bell, Jason P. 2 Bell, Paul C. 2 Berthé, Valérie 2 Câmpeanu, Cezar 2 Cateland, E. 2 Domaratzki, Mike 2 Driscoll, James R. 2 Frougny, Christiane 2 Gabriele, Alessandra 2 Gawrychowski, Paweł 2 Granville, Andrew James 2 Haque, Sajed 2 Harju, Tero 2 Holub, Štěpán 2 Ilie, Lucian 2 Karhumaki, Juhani 2 Lagarias, Jeffrey C. 2 Lawrence, John C. 2 Lidbetter, Thomas F. 2 Loftus, John 2 Mól, Lucas A. S. 2 Nowotka, Dirk 2 Peitgen, Heinz-Otto 2 Pomerance, Carl Bernard 2 Ravikumar, Bala 2 Reidenbach, Daniel 2 Riasat, Samin 2 Robson, John Michael 2 Sorenson, Jonathan P. 2 Stoll, Thomas 2 Tromp, John T. 2 Vasiga, Troy M. J. 2 Venturini, Ilaria 2 Wilson, David A. 2 Yu, Sheng 1 Allouche, Gabrielle 1 Alpoge, Levent 1 Ang, Thomas 1 Badziahin, Dzmitry A. 1 Bétréma, Jean 1 Biedl, Therese C. 1 Biniaz, Ahmad 1 Bonardo, Pierre 1 Boros, George 1 Borwein, Jonathan Michael 1 Breitbart, Yuri 1 Bridy, Andrew 1 Bright, Curtis 1 Brown, Shandy 1 Bugeaud, Yann 1 Buss, Jonathan F. 1 Cassaigne, Julien 1 Cautis, Sabin 1 Chistikov, Dmitry V. 1 Clokie, Trevor 1 Cohen, Henri 1 Colbourn, Charles J. 1 Coons, Michael ...and 84 more Co-Authors
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#### Serials

 24 Theoretical Computer Science 15 International Journal of Foundations of Computer Science 12 Information Processing Letters 10 The Fibonacci Quarterly 10 The Electronic Journal of Combinatorics 8 Discrete Mathematics 8 Journal of Automata, Languages and Combinatorics 6 Journal of Number Theory 4 Acta Arithmetica 4 Information and Computation 4 Journal de Théorie des Nombres de Bordeaux 4 Integers 3 Discrete Applied Mathematics 3 Mathematics of Computation 3 Journal of Computer and System Sciences 3 Experimental Mathematics 2 Mathematics Magazine 2 Journal of Combinatorial Theory. Series A 2 Journal of Symbolic Computation 2 SIAM Journal on Discrete Mathematics 2 The Ramanujan Journal 2 Theory of Computing Systems 2 Discrete Mathematics and Theoretical Computer Science. DMTCS 2 Fundamenta Informaticae 2 Lecture Notes in Computer Science 2 RAIRO. Theoretical Informatics and Applications 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Gazette des Mathématiciens 1 Journal of the London Mathematical Society. Second Series 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 Journal of Algorithms 1 European Journal of Combinatorics 1 Combinatorica 1 Graphs and Combinatorics 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Bulletin of the European Association for Theoretical Computer Science (EATCS) 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Aequationes Mathematicae 1 L’Enseignement Mathématique. 2e Série 1 Historia Mathematica 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 RAIRO. Informatique Théorique et Applications 1 Indagationes Mathematicae. New Series 1 Computational Complexity 1 PU.M.A. Pure Mathematics and Applications 1 Fractals 1 European Mathematical Society Newsletter 1 Journal of the ACM 1 Bulletin of the European Association for Theoretical Computer Science EATCS 1 Journal of Integer Sequences 1 RAIRO. Theoretical Informatics and Applications 1 Journal of the Australian Mathematical Society 1 Oberwolfach Reports 1 Journal of Research of the National Bureau of Standards 1 Australian Mathematical Society Lecture Series 1 Publications Mathématiques d’Orsay 1 Journal of Mathematics and Music 1 Scientia. Series A: Mathematical Sciences. New Series 1 Proceedings of the American Mathematical Society. Series B
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#### Fields

 192 Computer science (68-XX) 129 Number theory (11-XX) 26 Combinatorics (05-XX) 8 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 Mathematical logic and foundations (03-XX) 4 Group theory and generalizations (20-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

189 Publications have been cited 2,090 times in 1,425 Documents Cited by Year
Automatic sequences. Theory, applications, generalizations. Zbl 1086.11015
Allouche, Jean-Paul; Shallit, Jeffrey
2003
Algorithmic number theory, Vol. 1: Efficient algorithms. Zbl 0873.11070
Bach, Eric; Shallit, Jeffrey
1996
The ubiquitous Prouhet-Thue-Morse sequence. Zbl 1005.11005
Allouche, Jean-Paul; Shallit, Jeffrey
1999
The ring of $$k$$-regular sequences. Zbl 0774.68072
Allouche, Jean-Paul; Shallit, Jeffrey
1992
A second course in formal languages and automata theory. Zbl 1163.68025
Shallit, Jeffrey
2009
Unary language operations, state complexity and Jacobsthal’s function. Zbl 1066.68072
Pighizzini, Giovanni; Shallit, Jeffrey
2002
A lower bound technique for the size of nondeterministic finite automata. Zbl 0900.68313
Glaister, Ian; Shallit, Jeffrey
1996
Simple continued fractions for some irrational numbers. Zbl 0404.10003
Shallit, Jeffrey
1979
The ring of $$k$$-regular sequences. II. Zbl 1058.68066
Allouche, Jean-Paul; Shallit, Jeffrey
2003
Numeration systems, linear recurrences, and regular sets. Zbl 0810.11006
Shallit, Jeffrey
1994
On the iteration of certain quadratic maps over GF($$p$$). Zbl 1045.11086
Vasiga, Troy; Shallit, Jeffrey
2004
Polynomial versus exponential growth in repetition-free binary words. Zbl 1065.68080
Karhumäki, Juhani; Shallit, Jeffrey
2004
Folded continued fractions. Zbl 0753.11005
van der Poorten, A. J.; Shallit, J.
1992
Real numbers with bounded partial quotients: A survey. Zbl 0753.11006
Shallit, Jeffrey
1992
Regular expressions: new results and open problems. Zbl 1143.68434
Ellul, Keith; Krawetz, Bryan; Shallit, Jeffrey; Wang, Ming-Wei
2005
Factoring with cyclotomic polynomials. Zbl 0661.10008
Bach, Eric; Shallit, Jeffrey
1989
Simple continued fractions for some irrational numbers. II. Zbl 0481.10005
Shallit, J. O.
1982
Enumeration and decidable properties of automatic sequences. Zbl 1282.68186
2012
Automaticity. I: Properties of a measure of descriptional complexity. Zbl 0859.68059
Shallit, Jeffrey; Breitbart, Yuri
1996
A generalization of automatic sequences. Zbl 0662.68052
Shallit, Jeffrey
1988
On the number of distinct languages accepted by finite automata with $$n$$ states. Zbl 1137.68421
Domaratzki, Michael; Kisman, Derek; Shallit, Jeffrey
2002
The computational complexity of some problems of linear algebra. Zbl 0941.68059
Buss, Jonathan F.; Frandsen, Gudmund S.; Shallit, Jeffrey O.
1999
Avoiding large squares in infinite binary words. Zbl 1099.68080
2005
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
2014
Counting abelian squares. Zbl 1191.68479
Richmond, L. B.; Shallit, Jeffrey
2009
Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044
2009
Sums of digits, overlaps, and palindromes. Zbl 1013.11004
Allouche, Jean-Paul; Shallit, Jeffrey
2000
Factor refinement. Zbl 0784.11058
Bach, Eric; Driscoll, James; Shallit, Jeffrey
1993
Decision algorithms for Fibonacci-automatic words. III: Enumeration and abelian properties. Zbl 1366.68224
Du, Chen Fei; Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
2016
Unary context-free grammars and pushdown automata, descriptional complexity and auxiliary space lower bounds. Zbl 1059.68068
Pighizzini, Giovanni; Shallit, Jeffrey; Wang, Ming-wei
2002
Wire bending. Zbl 0663.10056
Mendès France, Michel; Shallit, J. O.
1989
On NFAs where all states are final, initial, or both. Zbl 1194.68140
2009
Automatic maps in exotic numeration systems. Zbl 0870.68105
Allouche, Jean-Paul; Cateland, E.; Gilbert, W. J.; Peitgen, Heinz-Otto; Shallit, Jeffrey O.; Skordev, Gencho
1997
A generalization of repetition threshold. Zbl 1079.68082
Ilie, Lucian; Ochem, Pascal; Shallit, Jeffrey
2005
Regular expressions: New results and open problems. Zbl 1098.68069
Ellul, Keith; Krawetz, Bryan; Shallit, Jeffrey; Wang, Ming-Wei
2004
Automatic complexity of strings. Zbl 1004.68077
Shallit, Jeffrey; Wang, Ming-Wei
2001
Sums of divisors, perfect numbers and factoring. Zbl 0606.10003
Bach, Eric; Miller, Gary; Shallit, Jeffrey
1986
Avoiding three consecutive blocks of the same size and same sum. Zbl 1295.68173
Cassaigne, Julien; Currie, James D.; Schaeffer, Luke; Shallit, Jeffrey
2014
Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184
Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey
2011
Simultaneous avoidance of large squares and fractional powers in infinite binary words. Zbl 1067.68119
Shallit, Jeffrey
2004
Subword complexity of a generalized Thue-Morse word. Zbl 0875.68596
Tromp, John; Shallit, Jeffrey
1995
Continued fractions for some alternating series. Zbl 0719.11038
Davison, J. L.; Shallit, J. O.
1991
Decision algorithms for Fibonacci-automatic words. I: Basic results. Zbl 1366.68226
Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
2016
The critical exponent is computable for automatic sequences. Zbl 1285.68138
Schaeffer, Luke; Shallit, Jeffrey
2012
Decision problems for convex languages. Zbl 1217.68125
Brzozowski, Janusz; Shallit, Jeffrey; Xu, Zhi
2011
Every real number greater than 1 is a critical exponent. Zbl 1188.68216
Krieger, Dalia; Shallit, Jeffrey
2007
State complexity and the monoid of transformations of a finite set. Zbl 1115.68443
Krawetz, Bryan; Lawrence, John; Shallit, Jeffrey
2005
State complexity and the monoid of transformations of a finite set. Zbl 1097.68065
Krawetz, Bryan; Lawrence, John; Shallit, Jeffrey
2005
Origins of the analysis of the Euclidean algorithm. Zbl 0859.01004
Shallit, Jeffrey
1994
Infinite products associated with counting blocks in binary strings. Zbl 0629.05004
Allouche, J.-P.; Shallit, J. O.
1989
Decidability and enumeration for automatic sequences: a survey. Zbl 1381.68238
Shallit, Jeffrey
2013
On the number of unbordered factors. Zbl 1377.68191
Goč, Daniel; Mousavi, Hamoon; Shallit, Jeffrey
2013
Avoiding squares and overlaps over the natural numbers. Zbl 1215.68193
Guay-Paquet, Mathieu; Shallit, Jeffrey
2009
Words avoiding reversed subwords. Zbl 1081.68076
2005
Extremal infinite overlap-free binary words. Zbl 0890.68107
Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey
1998
On the maximum number of distinct factors of a binary string. Zbl 0779.05028
Shallit, Jeffrey
1993
Sur des points fixes de morphismes d’un monoïde libre. Zbl 0691.68065
Allouche, J.-P.; Betrema, J.; Shallit, J. O.
1988
Randomized algorithms in number theory. Zbl 0622.10002
Rabin, Michael O.; Shallit, Jeffrey O.
1986
Metric theory of Pierce expansions. Zbl 0598.10057
Shallit, J. O.
1986
On the number of multiplicative partitions. Zbl 0523.10007
Hughes, John F.; Shallit, J. O.
1983
Palindromic rich words and run-length encodings. Zbl 1371.68221
Guo, Chuan; Shallit, Jeffrey; Shur, Arseny M.
2016
Closed, palindromic, rich, privileged, trapezoidal, and balanced words in automatic sequences. Zbl 1338.11039
Schaeffer, Luke; Shallit, Jeffrey
2016
Automatic theorem-proving in combinatorics on words. Zbl 1297.68215
Goč, Daniel; Henshall, Dane; Shallit, Jeffrey
2012
The computational complexity of universality problems for prefixes, suffixes, factors, and subwords of regular languages. Zbl 1279.68171
2012
Closures in formal languages and Kuratowski’s theorem. Zbl 1246.68139
Brzozowski, Janusz; Grant, Elyot; Shallit, Jeffrey
2011
Finding the growth rate of a regular of context-free language in polynomial time. Zbl 1161.68528
2008
Indian kolam patterns, sand drawings in the Vanuatu Islands, the Sierpiński curve, and monoid morphisms. Zbl 1147.11015
Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey
2006
Simulating finite automata with context-free grammars. Zbl 1042.68060
Domaratzki, Michael; Pighizzini, Giovanni; Shallit, Jeffrey
2002
Results and estimates on pseudopowers. Zbl 0853.11103
Bach, Eric; Lukes, Richard; Shallit, Jeffrey; Williams, H. C.
1996
Explicit descriptions of some continued fractions. Zbl 0472.10012
Shallit, J. O.
1982
Mechanical proofs of properties of the Tribonacci word. Zbl 1350.68218
Mousavi, Hamoon; Shallit, Jeffrey
2015
Subword complexity and $$k$$-synchronization. Zbl 1381.68234
Goč, Daniel; Schaeffer, Luke; Shallit, Jeffrey
2013
Remarks on separating words. Zbl 1341.68087
Demaine, Erik D.; Eisenstat, Sarah; Shallit, Jeffrey; Wilson, David A.
2011
Finding the growth rate of a regular or context-free language in polynomial time. Zbl 1206.68172
2010
Detecting palindromes, patterns and borders in regular languages. Zbl 1192.68403
2009
The Frobenius problem and its generalizations. Zbl 1161.11319
Shallit, Jeffrey
2008
Binary words containing infinitely many overlaps. Zbl 1108.68094
2006
On two-sided infinite fixed points of morphisms. Zbl 0988.68141
Shallit, Jeffrey; Wang, Ming-wei
2002
Number theory and formal languages. Zbl 0973.11032
Shallit, Jeffrey
1999
Linear fractional transformations of continued fractions with bounded partial quotients. Zbl 0901.11024
Lagarias, J. C.; Shallit, J. O.
1997
On the vector space of the automatic reals. Zbl 0874.11029
Lehr, Siegfried; Shallit, Jeffrey; Tromp, John
1996
De nouveaux curieux produits infinis. (On new curious infinite products). Zbl 0584.10024
Allouche, J.-P.; Cohen, H.; Mendès France, Michel; Shallit, J. O.
1987
Decision algorithms for Fibonacci-automatic words. II: Related sequences and avoidability. Zbl 1366.68223
Du, Chen Fei; Mousavi, Hamoon; Rowland, Eric; Schaeffer, Luke; Shallit, Jeffrey
2017
Repetition avoidance in circular factors. Zbl 1381.68236
Mousavi, Hamoon; Shallit, Jeffrey
2013
Primitive words and Lyndon words in automatic and linearly recurrent sequences. Zbl 1377.68192
Goč, Daniel; Saari, Kalle; Shallit, Jeffrey
2013
Shuffling and unshuffling. Zbl 1394.68212
2012
A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016
Allouche, Jean-Paul; Shallit, Jeffrey
2012
Words avoiding repetitions in arithmetic progressions. Zbl 1133.68066
2008
On Sturmian graphs. Zbl 1115.68121
Epifanio, Chiara; Mignosi, Filippo; Shallit, Jeffrey; Venturini, Ilaria
2007
Squares and overlaps in the Thue-Morse sequence and some variants. Zbl 1110.68117
2006
On integer sequences whose first iterates are linear. Zbl 1069.39026
2005
A generalization of repetition threshold. Zbl 1097.68110
Ilie, Lucian; Ochem, Pascal; Shallit, Jeffrey
2004
Periodicity, morphisms, and matrices. Zbl 1046.68084
Cautis, Sabin; Mignosi, Filippo; Shallit, Jeffrey; Wang, Ming-wei; Yazdani, Soroosh
2003
The 2-adic valuation of the coefficients of a polynomial. Zbl 1121.11022
Boros, George; Moll, Víctor; Shallit, Jeffrey
2002
New problems of pattern avoidance. Zbl 1013.68103
Loftus, John; Shallit, Jeffrey; Wang, Ming-Wei
2000
Automaticity. II: Descriptional complexity in the unary case. Zbl 0959.11015
Pomerance, Carl; Robson, John Michael; Shallit, Jeffrey
1997
Automaticity. IV: Sequences, sets, and diversity. Zbl 0876.11010
Shallit, Jeffrey
1996
Complexity of generalized Rudin-Shapiro sequences. Zbl 0817.11014
Allouche, J.-P.; Shallit, J. O.
1993
The ring of $$k$$-regular sequences. Zbl 0742.11012
Allouche, Jean-Paul; Shallit, Jeffrey
1990
On infinite products associated with sums of digits. Zbl 0573.10005
Shallit, J. O.
1985
Circularly squarefree words and unbordered conjugates: a new approach. Zbl 1436.68273
Clokie, Trevor; Gabric, Daniel; Shallit, Jeffrey
2019
Repetitions in infinite palindrome-rich words. Zbl 1447.68010
Baranwal, Aseem R.; Shallit, Jeffrey
2019
Critical exponent of infinite balanced words via the Pell number system. Zbl 1447.68009
Baranwal, Aseem R.; Shallit, Jeffrey
2019
More infinite products: Thue-Morse and the gamma function. Zbl 07067657
Allouche, J.-P.; Riasat, S.; Shallit, J.
2019
Critical exponents of infinite balanced words. Zbl 1446.68132
2019
Circular critical exponents for Thue-Morse factors. Zbl 1445.68185
Shallit, Jeffrey; Zarifi, Ramin
2019
Waring’s theorem for binary powers. Zbl 07175045
Kane, Daniel M.; Sanna, Carlo; Shallit, Jeffrey
2019
New results on pseudosquare avoidance. Zbl 1444.68154
2019
The number of valid factorizations of Fibonacci prefixes. Zbl 1423.68367
Bonardo, Pierre; Frid, Anna E.; Shallit, Jeffrey
2019
Additive number theory via approximation by regular languages. Zbl 06983372
Bell, Jason P.; Lidbetter, Thomas F.; Shallit, Jeffrey
2018
When is an automatic set an additive basis? Zbl 1437.11017
Bell, Jason; Hare, Kathryn; Shallit, Jeffrey
2018
Sums of palindromes: an approach via automata. Zbl 07228445
Rajasekaran, Aayush; Shallit, Jeffrey; Smith, Tim
2018
Decision algorithms for Fibonacci-automatic words. II: Related sequences and avoidability. Zbl 1366.68223
Du, Chen Fei; Mousavi, Hamoon; Rowland, Eric; Schaeffer, Luke; Shallit, Jeffrey
2017
Periodicity in rectangular arrays. Zbl 1392.68216
Gamard, Guilhem; Richomme, Gwenaël; Shallit, Jeffrey; Smith, Taylor J.
2017
Hankel matrices for the period-doubling sequence. Zbl 1356.15011
Fokkink, Robbert J.; Kraaikamp, Cor; Shallit, Jeffrey
2017
Abelian-square-rich words. Zbl 1395.68224
Fici, Gabriele; Mignosi, Filippo; Shallit, Jeffrey
2017
Decision algorithms for Fibonacci-automatic words. III: Enumeration and abelian properties. Zbl 1366.68224
Du, Chen Fei; Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
2016
Decision algorithms for Fibonacci-automatic words. I: Basic results. Zbl 1366.68226
Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
2016
Palindromic rich words and run-length encodings. Zbl 1371.68221
Guo, Chuan; Shallit, Jeffrey; Shur, Arseny M.
2016
Closed, palindromic, rich, privileged, trapezoidal, and balanced words in automatic sequences. Zbl 1338.11039
Schaeffer, Luke; Shallit, Jeffrey
2016
Periods and borders of random words. Zbl 1388.68244
Holub, Štěpán; Shallit, Jeffrey
2016
Remarks on privileged words. Zbl 1353.68223
Forsyth, Michael; Jayakumar, Amlesh; Peltomäki, Jarkko; Shallit, Jeffrey
2016
Discriminators and $$k$$-regular sequences. Zbl 1386.11048
Haque, Sajed; Shallit, Jeffrey
2016
Repetitions in words. Zbl 06787748
2016
Minimal elements for the prime numbers. Zbl 1370.11141
Bright, Curtis; Devillers, Raymond; Shallit, Jeffrey
2016
Mechanical proofs of properties of the Tribonacci word. Zbl 1350.68218
Mousavi, Hamoon; Shallit, Jeffrey
2015
Enumeration and automatic sequences. Zbl 1374.11038
Shallit, Jeffrey
2015
Optimal bounds for the similarity density of the Thue-Morse word with overlap-free and $$\frac73$$-power-free infinite binary words. Zbl 1341.68143
Du, Chen Fei; Shallit, Jeffrey; Shur, Arseny M.
2015
Factorization in formal languages. Zbl 1434.68232
Bell, Paul C.; Reidenbach, Daniel; Shallit, Jeffrey
2015
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
2014
Avoiding three consecutive blocks of the same size and same sum. Zbl 1295.68173
Cassaigne, Julien; Currie, James D.; Schaeffer, Luke; Shallit, Jeffrey
2014
Three series for the generalized golden mean. Zbl 1384.11025
Hare, Kevin; Prodinger, Helmut; Shallit, Jeffrey
2014
Counting the palstars. Zbl 1300.05017
Richmond, L. Bruce; Shallit, Jeffrey O.
2014
Decidability and enumeration for automatic sequences: a survey. Zbl 1381.68238
Shallit, Jeffrey
2013
On the number of unbordered factors. Zbl 1377.68191
Goč, Daniel; Mousavi, Hamoon; Shallit, Jeffrey
2013
Subword complexity and $$k$$-synchronization. Zbl 1381.68234
Goč, Daniel; Schaeffer, Luke; Shallit, Jeffrey
2013
Repetition avoidance in circular factors. Zbl 1381.68236
Mousavi, Hamoon; Shallit, Jeffrey
2013
Primitive words and Lyndon words in automatic and linearly recurrent sequences. Zbl 1377.68192
Goč, Daniel; Saari, Kalle; Shallit, Jeffrey
2013
Automatic theorem-proving in combinatorics on words. Zbl 1304.68143
Goč, Daniel; Henshall, Dane; Shallit, Jeffrey
2013
Sets represented as the length-$$n$$ factors of a word. Zbl 1398.68425
Tan, Shuo; Shallit, Jeffrey
2013
Counting sequences with small discrepancies. Zbl 1325.11076
Leong, Alexander; Shallit, Jeffrey
2013
Enumeration and decidable properties of automatic sequences. Zbl 1282.68186
2012
The critical exponent is computable for automatic sequences. Zbl 1285.68138
Schaeffer, Luke; Shallit, Jeffrey
2012
Automatic theorem-proving in combinatorics on words. Zbl 1297.68215
Goč, Daniel; Henshall, Dane; Shallit, Jeffrey
2012
The computational complexity of universality problems for prefixes, suffixes, factors, and subwords of regular languages. Zbl 1279.68171
2012
Shuffling and unshuffling. Zbl 1394.68212
2012
A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016
Allouche, Jean-Paul; Shallit, Jeffrey
2012
Avoiding 3/2-powers over the natural numbers. Zbl 1239.68058
Rowland, Eric; Shallit, Jeffrey
2012
The state complexity of star-complement-star. Zbl 1370.68178
Jirásková, Galina; Shallit, Jeffrey
2012
Sturmian graphs and integer representations over numeration systems. Zbl 1237.68134
Epifanio, C.; Frougny, C.; Gabriele, A.; Mignosi, F.; Shallit, J.
2012
Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184
Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey
2011
Decision problems for convex languages. Zbl 1217.68125
Brzozowski, Janusz; Shallit, Jeffrey; Xu, Zhi
2011
Closures in formal languages and Kuratowski’s theorem. Zbl 1246.68139
Brzozowski, Janusz; Grant, Elyot; Shallit, Jeffrey
2011
Remarks on separating words. Zbl 1341.68087
Demaine, Erik D.; Eisenstat, Sarah; Shallit, Jeffrey; Wilson, David A.
2011
Inverse star, borders, and palstars. Zbl 1260.68212
2011
A pattern sequence approach to Stern’s sequence. Zbl 1315.11019
Coons, Michael; Shallit, Jeffrey
2011
Fife’s theorem revisited. Zbl 1221.68145
Shallit, Jeffrey
2011
Finite orbits of language operations. Zbl 1260.68197
Charlier, Émilie; Domaratzki, Mike; Harju, Tero; Shallit, Jeffrey
2011
Thue-Morse at multiples of an integer. Zbl 1246.11159
Morgenbesser, Johannes F.; Shallit, Jeffrey; Stoll, Thomas
2011
Unbounded discrepancy in Frobenius numbers. Zbl 1226.11040
Shallit, Jeffrey; Stankewicz, James
2011
Fife’s theorem for $$\frac 73$$-powers. Zbl 1331.68173
2011
Enumeration and decidable properties of automatic sequences. Zbl 1221.68122
2011
Van der Waerden’s theorem and avoidability in words. Zbl 1209.68392
Au, Yu-Hin; Robertson, Aaron; Shallit, Jeffrey
2011
Finding the growth rate of a regular or context-free language in polynomial time. Zbl 1206.68172
2010
Detecting patterns in finite regular and context-free languages. Zbl 1206.68181
2010
A second course in formal languages and automata theory. Zbl 1163.68025
Shallit, Jeffrey
2009
Counting abelian squares. Zbl 1191.68479
Richmond, L. B.; Shallit, Jeffrey
2009
Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044
2009
On NFAs where all states are final, initial, or both. Zbl 1194.68140
2009
Avoiding squares and overlaps over the natural numbers. Zbl 1215.68193
Guay-Paquet, Mathieu; Shallit, Jeffrey
2009
Detecting palindromes, patterns and borders in regular languages. Zbl 1192.68403
2009
State complexity of unique rational operations. Zbl 1168.68029
2009
Decision problems for convex languages. Zbl 1234.68201
Brzozowski, Janusz; Shallit, Jeffrey; Xu, Zhi
2009
Bounds for the discrete correlation of infinite sequences on $$k$$ symbols and generalized Rudin–Shapiro sequences. Zbl 1223.11096
Grant, E.; Shallit, J.; Stoll, T.
2009
Efficient enumeration of words in regular languages. Zbl 1191.68370
Ackerman, Margareta; Shallit, Jeffrey
2009
Closures in formal languages and Kuratowski’s theorem. Zbl 1247.68129
Brzozowski, Janusz; Grant, Elyot; Shallit, Jeffrey
2009
Decimations of languages and state complexity. Zbl 1168.68026
2009
Finding the growth rate of a regular of context-free language in polynomial time. Zbl 1161.68528
2008
The Frobenius problem and its generalizations. Zbl 1161.11319
Shallit, Jeffrey
2008
Words avoiding repetitions in arithmetic progressions. Zbl 1133.68066
2008
The Frobenius problem in a free monoid. Zbl 1259.68166
Kao, Jui-Yi; Shallit, Jeffrey; Xu, Zhi
2008
Finite automata, palindromes, powers, and patterns. Zbl 1156.68441
2008
Avoiding approximate squares. Zbl 1155.68068
2008
Every real number greater than 1 is a critical exponent. Zbl 1188.68216
Krieger, Dalia; Shallit, Jeffrey
2007
On Sturmian graphs. Zbl 1115.68121
Epifanio, Chiara; Mignosi, Filippo; Shallit, Jeffrey; Venturini, Ilaria
2007
Avoiding approximate squares. Zbl 1202.68296
2007
Summation of series defined by counting blocks of digits. Zbl 1131.11009
Allouche, J.-P.; Shallit, J.; Sondow, J.
2007
Efficient enumeration of regular languages. Zbl 1139.68351
Ackerman, Margareta; Shallit, Jeffrey
2007
Indian kolam patterns, sand drawings in the Vanuatu Islands, the Sierpiński curve, and monoid morphisms. Zbl 1147.11015
Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey
2006
Binary words containing infinitely many overlaps. Zbl 1108.68094
2006
Squares and overlaps in the Thue-Morse sequence and some variants. Zbl 1110.68117
2006
Regular expressions: new results and open problems. Zbl 1143.68434
Ellul, Keith; Krawetz, Bryan; Shallit, Jeffrey; Wang, Ming-Wei
2005
Avoiding large squares in infinite binary words. Zbl 1099.68080
2005
A generalization of repetition threshold. Zbl 1079.68082
Ilie, Lucian; Ochem, Pascal; Shallit, Jeffrey
2005
State complexity and the monoid of transformations of a finite set. Zbl 1115.68443
Krawetz, Bryan; Lawrence, John; Shallit, Jeffrey
2005
State complexity and the monoid of transformations of a finite set. Zbl 1097.68065
Krawetz, Bryan; Lawrence, John; Shallit, Jeffrey
2005
Words avoiding reversed subwords. Zbl 1081.68076
2005
On integer sequences whose first iterates are linear. Zbl 1069.39026
2005
Non-uniqueness and radius of cyclic unary NFAs. Zbl 1080.68052
Domaratzki, Michael; Ellul, Keith; Shallit, Jeffrey; Wang, Ming-Wei
2005
Enumerating regular expressions and their languages. Zbl 1115.68444
Lee, Jonathan; Shallit, Jeffrey
2005
...and 89 more Documents
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#### Cited by 1,567 Authors

 85 Shallit, Jeffrey O. 42 Rampersad, Narad 40 Salomaa, Kai T. 37 Allouche, Jean-Paul Simon 26 Rigo, Michel 24 Bell, Jason P. 21 Currie, James D. 21 Jirásková, Galina 20 Han, Yo-Sub 19 Bugeaud, Yann 17 Holzer, Markus 16 Kutrib, Martin 15 Blanchet-Sadri, Francine 15 Zamboni, Luca Quardo 14 Coons, Michael 13 Adamczewski, Boris 13 Brzozowski, Janusz Antoni 13 Honkala, Juha 13 Richomme, Gwénaël 13 Wen, Zhixiong 12 Grytczuk, Jarosław 12 Ochem, Pascal 12 Yu, Sheng 11 de Luca, Aldo 11 Dekking, Frederik Michel 11 Okhotin, Alexander 11 Pighizzini, Giovanni 11 Rowland, Eric S. 11 Shparlinski, Igor E. 10 Cassaigne, Julien 10 Frid, Anna Èduardovna 10 Ng, Timothy 9 Bach, Eric 9 Carpi, Arturo 9 Charlier, Emilie 9 Drmota, Michael 9 Harju, Tero 9 Ko, Sang-Ki 9 Mendès France, Michel 9 Schaeffer, Luke 9 Shur, Arseny M. 9 Skordev, Gencho S. 9 Wu, Wen 8 Barbé, André M. 8 Berthé, Valérie 8 Gao, Yuan 8 Mauduit, Christian 8 Reutenauer, Christophe 8 Séébold, Patrice 8 Spiegelhofer, Lukas 7 Borwein, Jonathan Michael 7 Chen, Jin 7 Dubickas, Artūras 7 Hare, Kevin G. 7 Jirásek, Jozef jun. 7 Karhumaki, Juhani 7 Kärki, Tomi 7 Kong, Derong 7 Krieger, Dalia 7 Mignosi, Filippo 7 Rytter, Wojciech 7 Saari, Kalle 7 Szykuła, Marek 7 von Haeseler, Fritz 6 Badkobeh, Golnaz 6 Caron, Pascal 6 Champarnaud, Jean-Marc 6 Cho, Da-Jung 6 Deshouillers, Jean-Marc 6 Domaratzki, Michael 6 Frougny, Christiane 6 Glen, Amy 6 Guo, Yingjun 6 Jenkinson, Oliver 6 Kari, Lila 6 Le Gonidec, Marion 6 Leroy, Julien 6 Malcher, Andreas 6 Mercaş, Robert George 6 Mkaouar, Mohamed 6 Mól, Lucas A. S. 6 Müllner, Clemens 6 Panario, Daniel 6 Piao, Xiaoxue 6 Puzynina, Svetlana 6 Rojas, J. Maurice 6 Scheicher, Klaus 6 Thuswaldner, Jörg Maximilian 6 von zur Gathen, Joachim 6 Wang, Mingwei 6 Winterhof, Arne 5 Bašić, Bojan 5 Borel, Jean-Pierre 5 Grimm, Uwe 5 Gruber, Hermann 5 Ilie, Lucian 5 Konieczny, Jakub 5 Mignot, Ludovic 5 Miret, Josep M. 5 Moshe, Yossi ...and 1,467 more Authors
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#### Cited in 219 Serials

 259 Theoretical Computer Science 61 International Journal of Foundations of Computer Science 53 Journal of Number Theory 37 Mathematics of Computation 36 Information Processing Letters 35 Discrete Applied Mathematics 35 Discrete Mathematics 35 Journal de Théorie des Nombres de Bordeaux 34 Information and Computation 30 Advances in Applied Mathematics 23 Journal of Computer and System Sciences 22 Theory of Computing Systems 21 RAIRO. Theoretical Informatics and Applications 19 RAIRO. Theoretical Informatics and Applications 18 Journal of Combinatorial Theory. Series A 16 Journal of Symbolic Computation 16 Finite Fields and their Applications 16 Journal of Integer Sequences 16 Integers 15 European Journal of Combinatorics 14 Annales de l’Institut Fourier 14 Journal of Algebra 14 Monatshefte für Mathematik 14 International Journal of Number Theory 11 Designs, Codes and Cryptography 11 The Ramanujan Journal 10 Acta Arithmetica 10 Proceedings of the American Mathematical Society 10 The Electronic Journal of Combinatorics 8 Acta Informatica 8 Transactions of the American Mathematical Society 8 Linear Algebra and its Applications 8 Indagationes Mathematicae. New Series 7 Bulletin of the Australian Mathematical Society 7 Advances in Mathematics 7 Compositio Mathematica 7 Ergodic Theory and Dynamical Systems 7 Algorithmica 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 The Mathematical Intelligencer 6 SIAM Journal on Discrete Mathematics 6 International Journal of Algebra and Computation 6 Fractals 5 American Mathematical Monthly 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Functiones et Approximatio. Commentarii Mathematici 5 Mathematische Annalen 5 Discrete Mathematics and Theoretical Computer Science. DMTCS 5 Journal of Discrete Algorithms 4 Israel Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 4 Semigroup Forum 4 Acta Mathematica Hungarica 4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 4 International Journal of Computer Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Computational Complexity 4 Discrete and Continuous Dynamical Systems 4 Journal of the European Mathematical Society (JEMS) 4 Journal of the Australian Mathematical Society 4 Logical Methods in Computer Science 3 Journal of Mathematical Physics 3 Nonlinearity 3 Acta Mathematica 3 Czechoslovak Mathematical Journal 3 Information Sciences 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Functional Analysis 3 Journal of Pure and Applied Algebra 3 Journal of Complexity 3 Aequationes Mathematicae 3 Applicable Algebra in Engineering, Communication and Computing 3 Russian Mathematics 3 Journal of Mathematical Sciences (New York) 3 Documenta Mathematica 3 Actes des Rencontres du C.I.R.M. 2 Communications in Algebra 2 Computers & Mathematics with Applications 2 Journal of Statistical Physics 2 Periodica Mathematica Hungarica 2 Problems of Information Transmission 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin de la Société Mathématique de France 2 Canadian Journal of Mathematics 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Kybernetika 2 Mathematika 2 Notre Dame Journal of Formal Logic 2 Proceedings of the London Mathematical Society. Third Series 2 Annals of Pure and Applied Logic 2 Graphs and Combinatorics 2 Discrete & Computational Geometry 2 Journal of Theoretical Probability 2 Journal of Cryptology 2 Random Structures & Algorithms 2 Historia Mathematica ...and 119 more Serials
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#### Cited in 48 Fields

 847 Computer science (68-XX) 624 Number theory (11-XX) 170 Combinatorics (05-XX) 99 Dynamical systems and ergodic theory (37-XX) 57 Information and communication theory, circuits (94-XX) 39 Mathematical logic and foundations (03-XX) 38 Measure and integration (28-XX) 35 Group theory and generalizations (20-XX) 28 Algebraic geometry (14-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 22 Field theory and polynomials (12-XX) 22 Probability theory and stochastic processes (60-XX) 19 Commutative algebra (13-XX) 19 Numerical analysis (65-XX) 17 Associative rings and algebras (16-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Convex and discrete geometry (52-XX) 12 Functions of a complex variable (30-XX) 11 Real functions (26-XX) 11 Biology and other natural sciences (92-XX) 10 Special functions (33-XX) 10 Operations research, mathematical programming (90-XX) 9 Quantum theory (81-XX) 8 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Systems theory; control (93-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General algebraic systems (08-XX) 3 Partial differential equations (35-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX) 1 Relativity and gravitational theory (83-XX)

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