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Shallit, Jeffrey Outlaw

Author ID: shallit.jeffrey-o Recent zbMATH articles by "Shallit, Jeffrey Outlaw"
Published as: Shallit, Jeffrey; Shallit, J. O.; Shallit, J.; Shallit, Jeffrey O.
Homepage: https://cs.uwaterloo.ca/~shallit/
External Links: MGP · ORCID · Wikidata · Google Scholar · MathOverflow · dblp · GND · IdRef · theses.fr
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Co-Authors

60 single-authored
42 Rampersad, Narad
35 Allouche, Jean-Paul Simon
17 Wang, Mingwei
16 Schaeffer, Luke
10 Mousavi, Hamoon
9 Ochem, Pascal
8 Currie, James D.
8 Gabric, Daniel
7 Bell, Jason P.
7 Mignosi, Filippo
6 Bach, Eric
6 Fleischer, Lukas
6 Goč, Daniel
6 Krieger, Dalia
6 Mól, Lucas A. S.
5 Domaratzki, Michael
5 Du, Chen Fei
5 Lidbetter, Thomas F.
5 Shur, Arseny M.
5 van der Poorten, Alfred J.
4 Baranwal, Aseem R.
4 Brzozowski, Janusz Antoni
4 Charlier, Emilie
4 Epifanio, Chiara
4 Krawetz, Bryan
4 Lubiw, Anna
4 Manea, Florin
4 Mendès France, Michel
4 Nowotka, Dirk
4 Pighizzini, Giovanni
4 Rajasekaran, Aayush
4 Rowland, Eric S.
4 Stipulanti, Manon
4 Xu, Zhi
3 Clokie, Trevor
3 Cummings, Robert
3 Ellul, Keith
3 Fici, Gabriele
3 Gawrychowski, Paweł
3 Glaister, Ian
3 Grant, Elyot
3 Henshall, Dane
3 Holub, Štěpán
3 Kao, Jui-Yi
3 Okhotin, Alexander
3 Riasat, Samin
3 Richmond, L. Bruce
3 Santean, Nicolae
3 Shan, Sonja Linghui
3 Skordev, Gencho S.
3 Williams, Hugh Cowie
3 Yu, Sheng
2 Ackerman, Margareta
2 Au, Yu-Hin
2 Bell, Paul C.
2 Berthé, Valérie
2 Biedl, Therese C.
2 Biniaz, Ahmad
2 Bright, Curtis
2 Buss, Jonathan F.
2 Câmpeanu, Cezar
2 Cateland, E.
2 Domaratzki, Mike
2 Driscoll, James R.
2 Frandsen, Gudmund Skovbjerg
2 Frougny, Christiane
2 Gabriele, Alessandra
2 Granville, Andrew James
2 Haque, Sajed
2 Harju, Tero
2 Hieronymi, Philipp
2 Ilie, Lucian
2 Karhumaki, Juhani
2 Krenn, Daniel
2 Lagarias, Jeffrey C.
2 Lawrence, John William
2 Loftus, John
2 Ma, Dun
2 Meleshko, Joseph
2 Molina, Lovett Antonio J.
2 Oei, Reed
2 Peitgen, Heinz-Otto
2 Pomerance, Carl Bernard
2 Ravikumar, Bala
2 Reidenbach, Daniel
2 Robson, John Michael
2 Sanna, Carlo
2 Schulz, Christian
2 Sorenson, Jonathan P.
2 Stoll, Thomas
2 Tromp, John T.
2 Vasiga, Troy M. J.
2 Venturini, Ilaria
2 Wilson, David A.
2 Witzman, Leon
2 Zorcic, Stefan
1 Allouche, Gabrielle
1 Alpoge, Levent
1 Ang, Thomas
1 Badziahin, Dmitry
...and 123 more Co-Authors
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Serials

29 Theoretical Computer Science
18 International Journal of Foundations of Computer Science
13 Information Processing Letters
11 The Fibonacci Quarterly
11 The Electronic Journal of Combinatorics
10 Discrete Mathematics
9 Journal of Automata, Languages and Combinatorics
9 Integers
8 Journal of Number Theory
6 RAIRO. Theoretical Informatics and Applications
5 Information and Computation
5 Journal de Théorie des Nombres de Bordeaux
4 Acta Arithmetica
4 Discrete Mathematics and Theoretical Computer Science. DMTCS
3 Discrete Applied Mathematics
3 Mathematics of Computation
3 Mathematics Magazine
3 Journal of Combinatorial Theory. Series A
3 Journal of Computer and System Sciences
3 Experimental Mathematics
2 Canadian Journal of Mathematics
2 Journal of Symbolic Computation
2 SIAM Journal on Discrete Mathematics
2 Indagationes Mathematicae. New Series
2 The Ramanujan Journal
2 Theory of Computing Systems
2 Fundamenta Informaticae
2 Lecture Notes in Computer Science
1 American Mathematical Monthly
1 Communications on Pure and Applied Mathematics
1 Linear and Multilinear Algebra
1 Periodica Mathematica Hungarica
1 The Mathematical Intelligencer
1 Annales de l’Institut Fourier
1 Functiones et Approximatio. Commentarii Mathematici
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 Acta Mathematica Hungarica
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 Expositiones Mathematicae
1 RAIRO. Informatique Théorique et Applications
1 The Australasian Journal of Combinatorics
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 London Mathematical Society Lecture Note Series
1 Publications Mathématiques d’Orsay
1 Journal of Mathematics and Music
1 Scientia. Series A: Mathematical Sciences. New Series
1 Logical Methods in Computer Science
1 Cryptography and Communications
1 Communications in Mathematics
1 Proceedings of the American Mathematical Society. Series B
1 Enumerative Combinatorics and Applications

Publications by Year

Citations contained in zbMATH Open

256 Publications have been cited 3,438 times in 2,190 Documents Cited by Year
Automatic sequences. Theory, applications, generalizations. Zbl 1086.11015
Allouche, Jean-Paul; Shallit, Jeffrey
740
2003
Algorithmic number theory, Vol. 1: Efficient algorithms. Zbl 0873.11070
Bach, Eric; Shallit, Jeffrey
191
1996
The ubiquitous Prouhet-Thue-Morse sequence. Zbl 1005.11005
Allouche, Jean-Paul; Shallit, Jeffrey
164
1999
The ring of \(k\)-regular sequences. Zbl 0774.68072
Allouche, Jean-Paul; Shallit, Jeffrey
146
1992
A second course in formal languages and automata theory. Zbl 1163.68025
Shallit, Jeffrey
75
2009
Unary language operations, state complexity and Jacobsthal’s function. Zbl 1066.68072
Pighizzini, Giovanni; Shallit, Jeffrey
71
2002
A lower bound technique for the size of nondeterministic finite automata. Zbl 0900.68313
Glaister, Ian; Shallit, Jeffrey
68
1996
The ring of \(k\)-regular sequences. II. Zbl 1058.68066
Allouche, Jean-Paul; Shallit, Jeffrey
53
2003
The computational complexity of some problems of linear algebra. Zbl 0941.68059
Buss, Jonathan F.; Frandsen, Gudmund S.; Shallit, Jeffrey O.
52
1999
Enumeration and decidable properties of automatic sequences. Zbl 1282.68186
Charlier, Émilie; Rampersad, Narad; Shallit, Jeffrey
44
2012
Regular expressions: new results and open problems. Zbl 1143.68434
Ellul, Keith; Krawetz, Bryan; Shallit, Jeffrey; Wang, Ming-Wei
44
2005
Numeration systems, linear recurrences, and regular sets. Zbl 0810.11006
Shallit, Jeffrey
43
1994
Simple continued fractions for some irrational numbers. Zbl 0404.10003
Shallit, Jeffrey
42
1979
On the iteration of certain quadratic maps over GF(\(p\)). Zbl 1045.11086
Vasiga, Troy; Shallit, Jeffrey
41
2004
Polynomial versus exponential growth in repetition-free binary words. Zbl 1065.68080
Karhumäki, Juhani; Shallit, Jeffrey
38
2004
Folded continued fractions. Zbl 0753.11005
van der Poorten, A. J.; Shallit, J.
37
1992
Real numbers with bounded partial quotients: A survey. Zbl 0753.11006
Shallit, Jeffrey
30
1992
Suites automatiques à multi-indices. (Automatic sequences with multi- indices). Appendix by J. O. Shallit. Zbl 0653.10049
Salon, Olivier
29
1987
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
28
2014
Characterizing regular languages with polynomial densities. Zbl 1493.68195
Szilard, Andrew; Yu, Sheng; Zhang, Kaizhong; Shallit, Jeffrey
27
1992
Decision algorithms for Fibonacci-automatic words. I: Basic results. Zbl 1366.68226
Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
27
2016
A generalization of automatic sequences. Zbl 0662.68052
Shallit, Jeffrey
25
1988
On NFAs where all states are final, initial, or both. Zbl 1194.68140
Kao, Jui-Yi; Rampersad, Narad; Shallit, Jeffrey
25
2009
Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
24
2009
Automaticity. I: Properties of a measure of descriptional complexity. Zbl 0859.68059
Shallit, Jeffrey; Breitbart, Yuri
24
1996
Counting abelian squares. Zbl 1191.68479
Richmond, L. B.; Shallit, Jeffrey
23
2009
Simple continued fractions for some irrational numbers. II. Zbl 0481.10005
Shallit, J. O.
23
1982
Factoring with cyclotomic polynomials. Zbl 0661.10008
Bach, Eric; Shallit, Jeffrey
22
1989
Unary context-free grammars and pushdown automata, descriptional complexity and auxiliary space lower bounds. Zbl 1059.68068
Pighizzini, Giovanni; Shallit, Jeffrey; Wang, Ming-wei
21
2002
On the number of distinct languages accepted by finite automata with \(n\) states. Zbl 1137.68421
Domaratzki, Michael; Kisman, Derek; Shallit, Jeffrey
20
2002
Avoiding large squares in infinite binary words. Zbl 1099.68080
Rampersad, Narad; Shallit, Jeffrey; Wang, Ming-wei
20
2005
Factor refinement. Zbl 0784.11058
Bach, Eric; Driscoll, James; Shallit, Jeffrey
20
1993
Decision algorithms for Fibonacci-automatic words. III: Enumeration and abelian properties. Zbl 1366.68224
Du, Chen Fei; Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
19
2016
Automatic complexity of strings. Zbl 1004.68077
Shallit, Jeffrey; Wang, Ming-Wei
18
2001
Finding the growth rate of a regular or context-free language in polynomial time. Zbl 1206.68172
Gawrychowski, Paweł; Krieger, Dalia; Rampersad, Narad; Shallit, Jeffrey
18
2010
Sums of digits, overlaps, and palindromes. Zbl 1013.11004
Allouche, Jean-Paul; Shallit, Jeffrey
17
2000
Every real number greater than 1 is a critical exponent. Zbl 1188.68216
Krieger, Dalia; Shallit, Jeffrey
15
2007
Wire bending. Zbl 0663.10056
Mendès France, Michel; Shallit, J. O.
15
1989
Regular expressions: New results and open problems. Zbl 1098.68069
Ellul, Keith; Krawetz, Bryan; Shallit, Jeffrey; Wang, Ming-Wei
15
2004
Critical exponents of infinite balanced words. Zbl 1446.68132
Rampersad, Narad; Shallit, Jeffrey; Vandomme, Élise
15
2019
Randomized algorithms in number theory. Zbl 0622.10002
Rabin, Michael O.; Shallit, Jeffrey O.
14
1986
Extremal infinite overlap-free binary words. Zbl 0890.68107
Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey
14
1998
State complexity and the monoid of transformations of a finite set. Zbl 1097.68065
Krawetz, Bryan; Lawrence, John; Shallit, Jeffrey
14
2005
The logical approach to automatic sequences. Exploring combinatorics on words with Walnut. Zbl 07565707
Shallit, Jeffrey
14
2023
Subword complexity and power avoidance. Zbl 1447.68014
Shallit, Jeffrey; Shur, Arseny
14
2019
Sur des points fixes de morphismes d’un monoïde libre. Zbl 0691.68065
Allouche, J.-P.; Betrema, J.; Shallit, J. O.
13
1988
Subword complexity and \(k\)-synchronization. Zbl 1381.68234
Goč, Daniel; Schaeffer, Luke; Shallit, Jeffrey
13
2013
Metric theory of Pierce expansions. Zbl 0598.10057
Shallit, J. O.
13
1986
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
13
1997
Continued fractions for some alternating series. Zbl 0719.11038
Davison, J. L.; Shallit, J. O.
12
1991
Decidability and enumeration for automatic sequences: a survey. Zbl 1381.68238
Shallit, Jeffrey
12
2013
Detecting palindromes, patterns and borders in regular languages. Zbl 1192.68403
Anderson, Terry; Loftus, John; Rampersad, Narad; Santean, Nicolae; Shallit, Jeffrey
12
2009
Indian kolam patterns, sand drawings in the Vanuatu Islands, the Sierpiński curve, and monoid morphisms. (Kolam indiens, dessins sur le sable aux îles Vanuatu, courbe de Sierpiński et morphismes de monoïde.) Zbl 1147.11015
Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey
12
2006
Sums of divisors, perfect numbers and factoring. Zbl 0606.10003
Bach, Eric; Miller, Gary; Shallit, Jeffrey
12
1986
Synchronized sequences. Zbl 1494.68208
Shallit, Jeffrey
12
2021
A generalization of repetition threshold. Zbl 1079.68082
Ilie, Lucian; Ochem, Pascal; Shallit, Jeffrey
12
2005
Additive number theory via automata theory. Zbl 1475.11040
Rajasekaran, Aayush; Shallit, Jeffrey; Smith, Tim
12
2020
Avoiding three consecutive blocks of the same size and same sum. Zbl 1295.68173
Cassaigne, Julien; Currie, James D.; Schaeffer, Luke; Shallit, Jeffrey
12
2014
Closed, palindromic, rich, privileged, trapezoidal, and balanced words in automatic sequences. Zbl 1338.11039
Schaeffer, Luke; Shallit, Jeffrey
12
2016
Shuffling and unshuffling. Zbl 1394.68212
Henshall, Dane; Rampersad, Narad; Shallit, Jeffrey
12
2012
Periodicity in rectangular arrays. Zbl 1392.68216
Gamard, Guilhem; Richomme, Gwenaël; Shallit, Jeffrey; Smith, Taylor J.
12
2017
Palindromic rich words and run-length encodings. Zbl 1371.68221
Guo, Chuan; Shallit, Jeffrey; Shur, Arseny M.
12
2016
The computational complexity of universality problems for prefixes, suffixes, factors, and subwords of regular languages. Zbl 1279.68171
Rampersad, Narad; Shallit, Jeffrey; Xu, Zhi
11
2012
Closures in formal languages and Kuratowski’s theorem. Zbl 1246.68139
Brzozowski, Janusz; Grant, Elyot; Shallit, Jeffrey
11
2011
On the number of unbordered factors. Zbl 1377.68191
Goč, Daniel; Mousavi, Hamoon; Shallit, Jeffrey
11
2013
Remarks on separating words. Zbl 1341.68087
Demaine, Erik D.; Eisenstat, Sarah; Shallit, Jeffrey; Wilson, David A.
11
2011
Simultaneous avoidance of large squares and fractional powers in infinite binary words. Zbl 1067.68119
Shallit, Jeffrey
11
2004
Critical exponent of infinite balanced words via the Pell number system. Zbl 1447.68009
Baranwal, Aseem R.; Shallit, Jeffrey
11
2019
Avoiding squares and overlaps over the natural numbers. Zbl 1215.68193
Guay-Paquet, Mathieu; Shallit, Jeffrey
10
2009
Infinite products associated with counting blocks in binary strings. Zbl 0629.05004
Allouche, J.-P.; Shallit, J. O.
10
1989
Origins of the analysis of the Euclidean algorithm. Zbl 0859.01004
Shallit, Jeffrey
10
1994
Subword complexity of a generalized Thue-Morse word. Zbl 0875.68596
Tromp, John; Shallit, Jeffrey
10
1995
Automaticity. IV: Sequences, sets, and diversity. Zbl 0876.11010
Shallit, Jeffrey
10
1996
Words avoiding reversed subwords. Zbl 1081.68076
Rampersad, Narad; Shallit, Jeffrey
10
2005
Enumerating regular expressions and their languages. Zbl 1115.68444
Lee, Jonathan; Shallit, Jeffrey
10
2005
Sums of palindromes: an approach via automata. Zbl 1497.68277
Rajasekaran, Aayush; Shallit, Jeffrey; Smith, Tim
10
2018
Morphic and automatic words: maximal blocks and Diophantine approximation. Zbl 1233.68184
Bugeaud, Yann; Krieger, Dalia; Shallit, Jeffrey
9
2011
The critical exponent is computable for automatic sequences. Zbl 1285.68138
Schaeffer, Luke; Shallit, Jeffrey
9
2012
On the number of multiplicative partitions. Zbl 0523.10007
Hughes, John F.; Shallit, J. O.
9
1983
De nouveaux curieux produits infinis. (On new curious infinite products). Zbl 0584.10024
Allouche, J.-P.; Cohen, H.; Mendès France, Michel; Shallit, J. O.
9
1987
Decision problems for convex languages. Zbl 1217.68125
Brzozowski, Janusz; Shallit, Jeffrey; Xu, Zhi
9
2011
Finding the growth rate of a regular of context-free language in polynomial time. Zbl 1161.68528
Gawrychowski, Paweł; Krieger, Dalia; Rampersad, Narad; Shallit, Jeffrey
9
2008
On the maximum number of distinct factors of a binary string. Zbl 0779.05028
Shallit, Jeffrey
9
1993
Simulating finite automata with context-free grammars. Zbl 1042.68060
Domaratzki, Michael; Pighizzini, Giovanni; Shallit, Jeffrey
8
2002
Automatic theorem-proving in combinatorics on words. Zbl 1297.68215
Goč, Daniel; Henshall, Dane; Shallit, Jeffrey
8
2012
Results and estimates on pseudopowers. Zbl 0853.11103
Bach, Eric; Lukes, Richard; Shallit, Jeffrey; Williams, H. C.
8
1996
Explicit descriptions of some continued fractions. Zbl 0472.10012
Shallit, J. O.
8
1982
Continued fractions and linear recurrences. Zbl 0797.11006
Lenstra, H. W.; Shallit, J. O.
8
1993
State complexity and the monoid of transformations of a finite set. Zbl 1115.68443
Krawetz, Bryan; Lawrence, John; Shallit, Jeffrey
8
2005
Automatic theorem-proving in combinatorics on words. Zbl 1304.68143
Goč, Daniel; Henshall, Dane; Shallit, Jeffrey
8
2013
When is an automatic set an additive basis? Zbl 1437.11017
Bell, Jason; Hare, Kathryn; Shallit, Jeffrey
8
2018
Efficient enumeration of words in regular languages. Zbl 1191.68370
Ackerman, Margareta; Shallit, Jeffrey
7
2009
Thue-Morse at multiples of an integer. Zbl 1246.11159
Morgenbesser, Johannes F.; Shallit, Jeffrey; Stoll, Thomas
7
2011
Mechanical proofs of properties of the Tribonacci word. Zbl 1350.68218
Mousavi, Hamoon; Shallit, Jeffrey
7
2015
Sums of digits and the Hurwitz zeta function. Zbl 0711.11003
Allouche, Jean-Paul; Shallit, Jeffrey
7
1990
A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016
Allouche, Jean-Paul; Shallit, Jeffrey
7
2012
On Sturmian graphs. Zbl 1115.68121
Epifanio, Chiara; Mignosi, Filippo; Shallit, Jeffrey; Venturini, Ilaria
7
2007
Squares and overlaps in the Thue-Morse sequence and some variants. Zbl 1110.68117
Brown, Shandy; Rampersad, Narad; Shallit, Jeffrey; Vasiga, Troy
7
2006
Number theory and formal languages. Zbl 0973.11032
Shallit, Jeffrey
7
1999
The Frobenius problem and its generalizations. Zbl 1161.11319
Shallit, Jeffrey
7
2008
The logical approach to automatic sequences. Exploring combinatorics on words with Walnut. Zbl 07565707
Shallit, Jeffrey
14
2023
Counterexamples to a conjecture of Dombi in additive number theory. Zbl 1529.11022
Bell, J. P.; Shallit, J.
4
2023
Dyck words, pattern avoidance, and automatic sequences. Zbl 07716993
Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey
3
2023
Rudin-Shapiro sums via automata theory and logic. Zbl 07716994
Rampersad, Narad; Shallit, Jeffrey
3
2023
A Dombi counterexample with positive lower density. Zbl 07856106
Shallit, Jeffrey
1
2023
Pseudoperiodic words and a question of Shevelev. Zbl 07908406
Meleshko, Joseph; Ochem, Pascal; Shallit, Jeffrey; Shan, Sonja Linghui
1
2023
Properties of a ternary infinite word. Zbl 1527.11021
Currie, James; Ochem, Pascal; Rampersad, Narad; Shallit, Jeffrey
1
2023
Automatic sequences in negative bases and proofs of some conjectures of Shevelev. Zbl 1527.11022
Shallit, Jeffrey; Shan, Sonja Linghui; Yang, Kai Hsiang
1
2023
Transduction of automatic sequences and applications. Zbl 07810940
Shallit, Jeffrey; Zavyalov, Anatoly
1
2023
Decidability for Sturmian words. Zbl 1541.68304
Hieronymi, Philipp; Ma, Dun; Oei, Reed; Schaeffer, Luke; Schulz, Christian; Shallit, Jeffrey
6
2022
Lie complexity of words. Zbl 1537.68158
Bell, Jason P.; Shallit, Jeffrey
4
2022
Sumsets of Wythoff sequences, Fibonacci representation, and beyond. Zbl 07479498
Shallit, Jeffrey
4
2022
How to prove that a sequence is not automatic. Zbl 1497.11063
Allouche, J.-P.; Shallit, J.; Yassawi, R.
3
2022
Sumsets associated with Beatty sequences. Zbl 1484.11036
Phunphayap, Phakhinkon Napp; Pongsriiam, Prapanpong; Shallit, Jeffrey
2
2022
Decidability and \(k\)-regular sequences. Zbl 1533.68139
Krenn, Daniel; Shallit, Jeffrey
2
2022
Quotients of palindromic and antipalindromic numbers. Zbl 1507.11007
Bai, James Haoyu; Meleshko, Joseph; Riasat, Samin; Shallit, Jeffrey
1
2022
Properties of a class of Toeplitz words. Zbl 1492.68112
Fici, Gabriele; Shallit, Jeffrey
1
2022
Automatic sequences of rank two. Zbl 1529.68232
Bell, Jason P.; Shallit, Jeffrey
1
2022
Synchronized sequences. Zbl 1494.68208
Shallit, Jeffrey
12
2021
Abelian complexity and synchronization. Zbl 1475.11041
Shallit, Jeffrey
5
2021
Ostrowski-automatic sequences: theory and applications. Zbl 1467.68146
Baranwal, Aseem; Schaeffer, Luke; Shallit, Jeffrey
5
2021
Robbins and Ardila meet Berstel. Zbl 1515.11025
Shallit, Jeffrey
3
2021
Enumerating regular expressions and their languages. Zbl 1517.68190
Gruber, Hermann; Lee, Jonathan; Shallit, Jeffrey
2
2021
Subword complexity of the Fibonacci-Thue-Morse sequence: the proof of Dekking’s conjecture. Zbl 1489.11046
Shallit, Jeffrey
2
2021
A frameless 2-coloring of the plane lattice. Zbl 1505.05038
Kaplan, Craig S.; Shallit, Jeffrey
1
2021
Frobenius numbers and automatic sequences. Zbl 1490.11036
Shallit, Jeffrey
1
2021
An inequality for the number of periods in a word. Zbl 1522.68441
Gabric, Daniel; Rampersad, Narad; Shallit, Jeffrey
1
2021
Additive number theory via automata theory. Zbl 1475.11040
Rajasekaran, Aayush; Shallit, Jeffrey; Smith, Tim
12
2020
Extremal overlap-free and extremal \(\beta\)-free binary words. Zbl 1462.68151
Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey
6
2020
Automatic sequences are also non-uniformly morphic. Zbl 1485.68202
Allouche, Jean-Paul; Shallit, Jeffrey
5
2020
Lengths of words accepted by nondeterministic finite automata. Zbl 1461.68104
Potechin, Aaron; Shallit, Jeffrey
5
2020
Queens in exile: non-attacking queens on infinite chess boards. Zbl 1435.91038
Dekking, F. Michel; Shallit, Jeffrey; Sloane, N. J. A.
3
2020
Sum-free sets generated by the period-\(k\)-folding sequences and some Sturmian sequences. Zbl 1465.11078
Allouche, Jean-Paul; Shallit, Jeffrey; Wen, Zhi-Xiong; Wu, Wen; Zhang, Jie-Meng
3
2020
Existential length universality. Zbl 07650901
Gawrychowski, Paweł; Lange, Martin; Rampersad, Narad; Shallit, Jeffrey; Szykuła, Marek
2
2020
The state complexity of lexicographically smallest words and computing successors. Zbl 07601063
Fleischer, Lukas; Shallit, Jeffrey
1
2020
Computational fun with sturdy and flimsy numbers. Zbl 1515.68160
Clokie, Trevor; Lidbetter, Thomas F.; Molina, Lovett Antonio J.; Shallit, Jeffrey; Witzman, Leon
1
2020
Critical exponents of infinite balanced words. Zbl 1446.68132
Rampersad, Narad; Shallit, Jeffrey; Vandomme, Élise
15
2019
Subword complexity and power avoidance. Zbl 1447.68014
Shallit, Jeffrey; Shur, Arseny
14
2019
Critical exponent of infinite balanced words via the Pell number system. Zbl 1447.68009
Baranwal, Aseem R.; Shallit, Jeffrey
11
2019
Circular critical exponents for Thue-Morse factors. Zbl 1445.68185
Shallit, Jeffrey; Zarifi, Ramin
6
2019
Rollercoasters: long sequences without short runs. Zbl 1419.05005
Biedl, Therese; Biniaz, Ahmad; Cummings, Robert; Lubiw, Anna; Manea, Florin; Nowotka, Dirk; Shallit, Jeffrey
6
2019
More infinite products: Thue-Morse and the gamma function. Zbl 1466.11002
Allouche, J.-P.; Riasat, S.; Shallit, J.
6
2019
Repetitions in infinite palindrome-rich words. Zbl 1447.68010
Baranwal, Aseem R.; Shallit, Jeffrey
6
2019
Waring’s theorem for binary powers. Zbl 1463.11148
Kane, Daniel M.; Sanna, Carlo; Shallit, Jeffrey
4
2019
Natural exact covering systems and the reversion of the Möbius series. Zbl 1427.05022
Goulden, I. P.; Granville, Andrew; Richmond, L. Bruce; Shallit, Jeffrey
4
2019
Circularly squarefree words and unbordered conjugates: a new approach. Zbl 1436.68273
Clokie, Trevor; Gabric, Daniel; Shallit, Jeffrey
4
2019
New results on pseudosquare avoidance. Zbl 1444.68154
Ng, Tim; Ochem, Pascal; Rampersad, Narad; Shallit, Jeffrey
3
2019
Optimal regular expressions for permutations. Zbl 07561614
Molina, Lovett Antonio; Shallit, Jeffrey
2
2019
The generalized Nagell-Ljunggren problem: powers with repetitive representations. Zbl 1475.11050
Bridy, Andrew; Oliver, Robert J. Lemke; Shallit, Arlo; Shallit, Jeffrey
2
2019
Cobham’s theorem and automaticity. Zbl 1427.11029
Mol, Lucas; Rampersad, Narad; Shallit, Jeffrey; Stipulanti, Manon
2
2019
Generalized de Bruijn words and the state complexity of conjugate sets. Zbl 1434.68249
Gabric, Daniel; Holub, Štěpán; Shallit, Jeffrey
1
2019
The number of valid factorizations of Fibonacci prefixes. Zbl 1423.68367
Bonardo, Pierre; Frid, Anna E.; Shallit, Jeffrey
1
2019
Sums of palindromes: an approach via automata. Zbl 1497.68277
Rajasekaran, Aayush; Shallit, Jeffrey; Smith, Tim
10
2018
When is an automatic set an additive basis? Zbl 1437.11017
Bell, Jason; Hare, Kathryn; Shallit, Jeffrey
8
2018
Additive number theory via approximation by regular languages. Zbl 1462.11014
Bell, Jason P.; Lidbetter, Thomas F.; Shallit, Jeffrey
5
2018
Rollercoasters and caterpillars. Zbl 1499.68418
Biedl, Therese; Biniaz, Ahmad; Cummings, Robert; Lubiw, Anna; Manea, Florin; Nowotka, Dirk; Shallit, Jeffrey
4
2018
Lagrange’s theorem for binary squares. Zbl 1510.11168
Madhusudan, P.; Nowotka, Dirk; Rajasekaran, Aayush; Shallit, Jeffrey
3
2018
Counting subwords and regular languages. Zbl 1404.68067
Colbourn, Charles J.; Dougherty, Ryan E.; Lidbetter, Thomas F.; Shallit, Jeffrey
1
2018
Periodicity in rectangular arrays. Zbl 1392.68216
Gamard, Guilhem; Richomme, Gwenaël; Shallit, Jeffrey; Smith, Taylor J.
12
2017
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
7
2017
Abelian-square-rich words. Zbl 1395.68224
Fici, Gabriele; Mignosi, Filippo; Shallit, Jeffrey
5
2017
Hankel matrices for the period-doubling sequence. Zbl 1356.15011
Fokkink, Robbert J.; Kraaikamp, Cor; Shallit, Jeffrey
4
2017
The role of theory in computer science. Essays dedicated to Janusz Brzozowski. Zbl 1370.68007
1
2017
Undecidability and finite automata. Zbl 1494.68135
Endrullis, Jörg; Shallit, Jeffrey; Smith, Tim
1
2017
Notes and note pairs in Nørgård’s infinity series. Zbl 1390.00053
Au, Yu Hin (Gary); Drexler-Lemire, Christopher; Shallit, Jeffrey
1
2017
Fractional coverings, greedy coverings, and rectifier networks. Zbl 1402.68086
Chistikov, Dmitry; Iván, Szabolcs; Lubiw, Anna; Shallit, Jeffrey
1
2017
Decision algorithms for Fibonacci-automatic words. I: Basic results. Zbl 1366.68226
Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
27
2016
Decision algorithms for Fibonacci-automatic words. III: Enumeration and abelian properties. Zbl 1366.68224
Du, Chen Fei; Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
19
2016
Closed, palindromic, rich, privileged, trapezoidal, and balanced words in automatic sequences. Zbl 1338.11039
Schaeffer, Luke; Shallit, Jeffrey
12
2016
Palindromic rich words and run-length encodings. Zbl 1371.68221
Guo, Chuan; Shallit, Jeffrey; Shur, Arseny M.
12
2016
Remarks on privileged words. Zbl 1353.68223
Forsyth, Michael; Jayakumar, Amlesh; Peltomäki, Jarkko; Shallit, Jeffrey
5
2016
Periods and borders of random words. Zbl 1388.68244
Holub, Štěpán; Shallit, Jeffrey
5
2016
Repetitions in words. Zbl 1476.68222
Rampersad, Narad; Shallit, Jeffrey
3
2016
Discriminators and \(k\)-regular sequences. Zbl 1386.11048
Haque, Sajed; Shallit, Jeffrey
2
2016
An unusual continued fraction. Zbl 1334.11056
Badziahin, Dzmitry; Shallit, Jeffrey
1
2016
Minimal elements for the prime numbers. Zbl 1370.11141
Bright, Curtis; Devillers, Raymond; Shallit, Jeffrey
1
2016
Descriptional complexity of formal systems. 18th IFIP WG 1.2 international conference, DCFS 2016, Bucharest, Romania, July 5–8, 2016. Proceedings. Zbl 1342.68009
1
2016
Mechanical proofs of properties of the Tribonacci word. Zbl 1350.68218
Mousavi, Hamoon; Shallit, Jeffrey
7
2015
Enumeration and automatic sequences. Zbl 1374.11038
Shallit, Jeffrey
4
2015
A new approach to the paperfolding sequences. Zbl 1459.68163
Goč, Daniel; Mousavi, Hamoon; Schaeffer, Luke; Shallit, Jeffrey
3
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.
2
2015
On the parity of the number of small divisors of \(n\). Zbl 1391.11126
Ford, Kevin; Luca, Florian; Pomerance, Carl; Shallit, Jeffrey
2
2015
Automatic sets of rational numbers. Zbl 1398.11057
Rowland, Eric; Shallit, Jeffrey
1
2015
Factorization in formal languages. Zbl 1434.68232
Bell, Paul C.; Reidenbach, Daniel; Shallit, Jeffrey
1
2015
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
28
2014
Avoiding three consecutive blocks of the same size and same sum. Zbl 1295.68173
Cassaigne, Julien; Currie, James D.; Schaeffer, Luke; Shallit, Jeffrey
12
2014
Three series for the generalized golden mean. Zbl 1384.11025
Hare, Kevin; Prodinger, Helmut; Shallit, Jeffrey
5
2014
Counting the palstars. Zbl 1300.05017
Richmond, L. Bruce; Shallit, Jeffrey O.
3
2014
Subword complexity and \(k\)-synchronization. Zbl 1381.68234
Goč, Daniel; Schaeffer, Luke; Shallit, Jeffrey
13
2013
Decidability and enumeration for automatic sequences: a survey. Zbl 1381.68238
Shallit, Jeffrey
12
2013
On the number of unbordered factors. Zbl 1377.68191
Goč, Daniel; Mousavi, Hamoon; Shallit, Jeffrey
11
2013
Automatic theorem-proving in combinatorics on words. Zbl 1304.68143
Goč, Daniel; Henshall, Dane; Shallit, Jeffrey
8
2013
Repetition avoidance in circular factors. Zbl 1381.68236
Mousavi, Hamoon; Shallit, Jeffrey
5
2013
Primitive words and Lyndon words in automatic and linearly recurrent sequences. Zbl 1377.68192
Goč, Daniel; Saari, Kalle; Shallit, Jeffrey
5
2013
Sets represented as the length-\(n\) factors of a word. Zbl 1398.68425
Tan, Shuo; Shallit, Jeffrey
3
2013
Composition and orbits of language operations: finiteness and upper bounds. Zbl 1361.68119
Charlier, Émilie; Domaratzki, Mike; Harju, Tero; Shallit, Jeffrey
2
2013
Counting sequences with small discrepancies. Zbl 1325.11076
Leong, Alexander; Shallit, Jeffrey
1
2013
Enumeration and decidable properties of automatic sequences. Zbl 1282.68186
Charlier, Émilie; Rampersad, Narad; Shallit, Jeffrey
44
2012
Shuffling and unshuffling. Zbl 1394.68212
Henshall, Dane; Rampersad, Narad; Shallit, Jeffrey
12
2012
The computational complexity of universality problems for prefixes, suffixes, factors, and subwords of regular languages. Zbl 1279.68171
Rampersad, Narad; Shallit, Jeffrey; Xu, Zhi
11
2012
...and 156 more Documents
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Cited by 2,210 Authors

150 Shallit, Jeffrey Outlaw
57 Rampersad, Narad
55 Salomaa, Kai T.
48 Allouche, Jean-Paul Simon
41 Rigo, Michel
33 Bell, Jason P.
28 Currie, James D.
26 Han, Yo-Sub
26 Jirásková, Galina
25 Bugeaud, Yann
25 Kutrib, Martin
24 Holzer, Markus
22 Coons, Michael
21 Stipulanti, Manon
19 Pighizzini, Giovanni
18 Ochem, Pascal
18 Wen, Zhixiong
17 Adamczewski, Boris
17 Blanchet-Sadri, Francine
17 Charlier, Emilie
17 Dekking, Frederik Michel
17 Okhotin, Alexander
17 Rowland, Eric S.
17 Zamboni, Luca Quardo
16 Grytczuk, Jarosław
16 Honkala, Juha
16 Shur, Arseny M.
16 Spiegelhofer, Lukas
15 Frid, Anna Èduardovna
15 Kong, Derong
15 Yu, Sheng
14 Ko, Sang-Ki
14 Shparlinski, Igor E.
13 Brzozowski, Janusz Antoni
13 Cassaigne, Julien
13 Manea, Florin
13 Ng, Timothy
13 Pelantová, Edita
13 Puzynina, Svetlana
12 Drmota, Michael
12 Gruber, Hermann
12 Harju, Tero
12 Konieczny, Jakub
12 Mauduit, Christian
12 Rojas, J. Maurice
12 Schaeffer, Luke
12 Wendlandt, Matthias
12 Wu, Wen
11 de Luca, Aldo
11 Kjos-Hanssen, Bjørn
11 Mól, Lucas A. S.
11 Richomme, Gwénaël
11 Salo, Ville O.
10 Carpi, Arturo
10 Dvořáková, L’ubomíra
10 Han, Guo-Niu
10 Reutenauer, Christophe
10 Whiteland, Markus A.
9 Caron, Pascal
9 Chen, Jin
9 Hare, Kevin G.
9 Mendès France, Michel
9 Nowotka, Dirk
9 Saari, Kalle
9 Skordev, Gencho S.
9 Szykuła, Marek
9 Ulas, Maciej
9 Winterhof, Arne
8 Bach, Eric
8 Barbé, André M.
8 Berthé, Valérie
8 Cho, Da-Jung
8 Endrullis, Jörg
8 Gabric, Daniel
8 Gao, Yuan
8 Guo, Yingjun
8 Karhumaki, Juhani
8 Kari, Lila
8 Krieger, Dalia
8 Mahalingam, Kalpana
8 Malcher, Andreas
8 Müllner, Clemens
8 Rappaport, David
8 Restivo, Antonio
8 Rosenfeld, Matthieu
8 Rytter, Wojciech
8 Séébold, Patrice
8 Starosta, Štěpán
8 Stoll, Thomas
8 Thuswaldner, Jörg Maximilian
7 Borwein, Jonathan Michael
7 Dassow, Jürgen
7 Deshouillers, Jean-Marc
7 Domaratzki, Michael
7 Dubickas, Artūras
7 Dumas, Philippe
7 Frougny, Christiane
7 Goč, Daniel
7 Grimm, Uwe
7 Hoffmann, Stefan
...and 2,110 more Authors
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Cited in 287 Serials

294 Theoretical Computer Science
74 International Journal of Foundations of Computer Science
64 Journal of Number Theory
46 Discrete Mathematics
46 Information and Computation
43 Advances in Applied Mathematics
41 Mathematics of Computation
40 The Electronic Journal of Combinatorics
38 Journal de Théorie des Nombres de Bordeaux
37 Discrete Applied Mathematics
37 Information Processing Letters
35 Integers
31 Journal of Integer Sequences
27 RAIRO. Theoretical Informatics and Applications
26 Journal of Computer and System Sciences
26 Theory of Computing Systems
24 Journal of Combinatorial Theory. Series A
22 European Journal of Combinatorics
21 Acta Arithmetica
21 RAIRO. Theoretical Informatics and Applications
20 Monatshefte für Mathematik
18 International Journal of Number Theory
17 Finite Fields and their Applications
16 Annales de l’Institut Fourier
16 Journal of Symbolic Computation
16 The Ramanujan Journal
15 Journal of Algebra
14 Bulletin of the Australian Mathematical Society
13 Acta Informatica
13 Designs, Codes and Cryptography
12 Proceedings of the American Mathematical Society
12 Transactions of the American Mathematical Society
11 Ergodic Theory and Dynamical Systems
11 Algorithmica
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Logical Methods in Computer Science
10 American Mathematical Monthly
10 Indagationes Mathematicae. New Series
9 Advances in Mathematics
9 Linear Algebra and its Applications
9 Discrete Mathematics and Theoretical Computer Science. DMTCS
9 Fundamenta Informaticae
8 Nonlinearity
8 International Journal of Algebra and Computation
7 Israel Journal of Mathematics
7 Journal of Mathematical Analysis and Applications
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Compositio Mathematica
7 Functiones et Approximatio. Commentarii Mathematici
7 Acta Mathematica Hungarica
7 SIAM Journal on Discrete Mathematics
7 Fractals
7 Journal of Automata, Languages and Combinatorics
7 Journal of the European Mathematical Society (JEMS)
6 The Mathematical Intelligencer
6 Journal of the Australian Mathematical Society
5 Periodica Mathematica Hungarica
5 Mathematische Annalen
5 Mathematische Zeitschrift
5 Semigroup Forum
5 Applicable Algebra in Engineering, Communication and Computing
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Computational Complexity
5 Discrete and Continuous Dynamical Systems
5 Journal of Discrete Algorithms
5 Journal of Mathematics and Music
5 Cryptography and Communications
5 Research in Number Theory
4 Journal d’Analyse Mathématique
4 Bulletin de la Société Mathématique de France
4 Canadian Journal of Mathematics
4 The Fibonacci Quarterly
4 International Journal of Mathematics and Mathematical Sciences
4 Journal of Pure and Applied Algebra
4 Journal of Complexity
4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4 Aequationes Mathematicae
4 International Journal of Computer Mathematics
4 Expositiones Mathematicae
4 The Australasian Journal of Combinatorics
4 Journal of Mathematical Sciences (New York)
4 Documenta Mathematica
4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Journal of Mathematical Physics
3 Journal of Statistical Physics
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematica
3 Bulletin of the London Mathematical Society
3 Czechoslovak Mathematical Journal
3 Information Sciences
3 Inventiones Mathematicae
3 Journal of Functional Analysis
3 Journal of the London Mathematical Society. Second Series
3 Kybernetika
3 Pacific Journal of Mathematics
3 Proceedings of the London Mathematical Society. Third Series
3 SIAM Journal on Computing
3 Annals of Pure and Applied Logic
3 Journal of Automated Reasoning
3 Russian Mathematics
...and 187 more Serials
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Cited in 51 Fields

1,320 Computer science (68-XX)
954 Number theory (11-XX)
248 Combinatorics (05-XX)
155 Dynamical systems and ergodic theory (37-XX)
96 Information and communication theory, circuits (94-XX)
67 Mathematical logic and foundations (03-XX)
65 Group theory and generalizations (20-XX)
60 Measure and integration (28-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
36 Probability theory and stochastic processes (60-XX)
33 Algebraic geometry (14-XX)
29 Field theory and polynomials (12-XX)
26 Commutative algebra (13-XX)
24 Numerical analysis (65-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Special functions (33-XX)
21 Quantum theory (81-XX)
20 Real functions (26-XX)
18 Associative rings and algebras (16-XX)
18 Functions of a complex variable (30-XX)
17 Convex and discrete geometry (52-XX)
16 General and overarching topics; collections (00-XX)
16 Operations research, mathematical programming (90-XX)
13 Approximations and expansions (41-XX)
13 Operator theory (47-XX)
13 Biology and other natural sciences (92-XX)
12 Difference and functional equations (39-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 History and biography (01-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Statistics (62-XX)
6 Systems theory; control (93-XX)
5 General algebraic systems (08-XX)
5 Sequences, series, summability (40-XX)
4 Functional analysis (46-XX)
4 General topology (54-XX)
4 Manifolds and cell complexes (57-XX)
3 Partial differential equations (35-XX)
3 Integral transforms, operational calculus (44-XX)
3 Differential geometry (53-XX)
3 Mathematics education (97-XX)
2 Category theory; homological algebra (18-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)
1 Nonassociative rings and algebras (17-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)

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