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Author ID: currie.james-d Recent zbMATH articles by "Currie, James D."
Published as: Currie, James D.; Currie, James; Currie, J. D.; Currie, J.; Currie, James O.
Homepage: https://ion.uwinnipeg.ca/~currie/
External Links: MGP · ORCID · dblp

Publications by Year

Citations contained in zbMATH Open

67 Publications have been cited 557 times in 308 Documents Cited by Year
A proof of Dejean’s conjecture. Zbl 1215.68192
Currie, James; Rampersad, Narad
48
2011
Dejean’s conjecture and Sturmian words. Zbl 1111.68096
Mohammad-Noori, M.; Currie, James D.
35
2007
There are ternary circular square-free words of length \(n\) for \(n \geq\) 18. Zbl 1057.68081
Currie, James D.
32
2002
The metric dimension and metric independence of a graph. Zbl 0986.05040
Currie, James; Oellermann, Ortrud R.
30
2001
Pattern avoidance: themes and variations. Zbl 1076.68051
Currie, James D.
30
2005
Open problems in pattern avoidance. Zbl 0798.68139
Currie, James
23
1993
Dejean’s conjecture holds for \({n\geq 27}\). Zbl 1192.68497
Currie, James; Rampersad, Narad
18
2009
Least periods of factors of infinite words. Zbl 1162.68510
Currie, James D.; Saari, Kalle
18
2009
Dejean’s conjecture holds for \(n\geq 30\). Zbl 1173.68050
Currie, James; Rampersad, Narad
16
2009
Non-repetitive tilings. Zbl 1004.05020
Currie, James D.; Simpson, Jamie
14
2002
Circular words avoiding patterns. Zbl 1015.68137
Currie, James D.; Fitzpatrick, D. Sean
13
2003
Abelian complexity of fixed point of morphism \(0 \mapsto 012, 1 \mapsto 02, 2 \mapsto 1\). Zbl 1285.68128
Blanchet-Sadri, F.; Currie, James D.; Rampersad, Narad; Fox, Nathan
12
2014
Extremal infinite overlap-free binary words. Zbl 0890.68107
Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey
11
1998
Recurrent words with constant abelian complexity. Zbl 1222.68126
Currie, James; Rampersad, Narad
11
2011
Avoiding patterns in the abelian sense. Zbl 0986.68103
Currie, J.; Linek, V.
11
2001
There exist binary circular \(5/2^+\) power free words of every length. Zbl 1058.68084
Aberkane, Ali; Currie, James D.
11
2004
The number of ternary words avoiding abelian cubes grows exponentially. Zbl 1101.68741
Aberkane, Ali; Currie, James D.; Rampersad, Narad
11
2004
The number of order-preserving maps of fences and crowns. Zbl 0749.05005
Currie, J. D.; Visentin, T. I.
11
1991
Avoiding three consecutive blocks of the same size and same sum. Zbl 1295.68173
Cassaigne, Julien; Currie, James D.; Schaeffer, Luke; Shallit, Jeffrey
11
2014
Words strongly avoiding fractional powers. Zbl 0948.68140
Cassaigne, Julien; Currie, James D.
9
1999
The number of binary words avoiding Abelian fourth powers grows exponentially. Zbl 1068.68113
Currie, James D.
9
2004
Which graphs allow infinite nonrepetitive walks? Zbl 0718.05030
Currie, James D.
8
1991
A family of formulas with reversal of high avoidability index. Zbl 1378.68132
Currie, James; Mol, Lucas; Rampersad, Narad
8
2017
Unary patterns with involution. Zbl 1269.68074
Bischoff, Bastian; Currie, James; Nowotka, Dirk
8
2012
Class numbers and biquadratic reciprocity. Zbl 0473.12004
Williams, Kenneth S.; Currie, James D.
7
1982
A cyclic binary morphism avoiding abelian fourth powers. Zbl 1161.68044
Currie, James D.; Aberkane, Ali
7
2009
Cantor sets and Dejean’s conjecture. Zbl 0867.68068
Currie, James D.; Shelton, Robert O.
7
1996
Growth rate of binary words avoiding \(xxx^{R}\). Zbl 1334.68170
Currie, James; Rampersad, Narad
7
2016
On the structure and extendibility of \(k\)-power free words. Zbl 0824.68094
Currie, James D.
6
1995
Fixed points avoiding abelian \(k\)-powers. Zbl 1298.68203
Currie, James D.; Rampersad, Narad
6
2012
The fixing block method in combinatorics on words. Zbl 1099.68684
Currie, J. D.; Pierce, C. W.
6
2003
Avoidability index for binary patterns with reversal. Zbl 1332.68177
Currie, James; Lafrance, Philip
6
2016
Some further results on squarefree arithmetic progressions in infinite words. Zbl 1436.68276
Currie, James; Harju, Tero; Ochem, Pascal; Rampersad, Narad
6
2019
The repetition threshold for binary rich words. Zbl 1456.68135
Currie, James D.; Mol, Lucas; Rampersad, Narad
6
2020
Binary words containing infinitely many overlaps. Zbl 1108.68094
Currie, James; Rampersad, Narad; Shallit, Jeffrey
5
2006
Long binary patterns are abelian 2-avoidable. Zbl 1171.68034
Currie, James D.; Visentin, Terry I.
5
2008
The undirected repetition threshold and undirected pattern avoidance. Zbl 1489.68215
Currie, James D.; Mol, Lucas
5
2021
Attainable lengths for circular binary words avoiding \(k\) powers. Zbl 1137.68046
Aberkane, Ali; Currie, James D.
4
2005
The Thue-Morse word contains circular \(5/2^+\) power free words of every length. Zbl 1070.68125
Aberkane, Ali; Currie, James D.
4
2005
Unary patterns with permutations. Zbl 1434.68383
Currie, James; Manea, Florin; Nowotka, Dirk
4
2015
Extremal words in morphic subshifts. Zbl 1296.68116
Currie, James D.; Rampersad, Narad; Saari, Kalle; Zamboni, Luca Q.
4
2014
Avoidance bases for formulas with reversal. Zbl 1395.68223
Currie, James D.; Mol, Lucas; Rampersad, Narad
4
2018
On abelian 2-avoidable binary patterns. Zbl 1111.68094
Currie, James D.; Visentin, Terry I.
3
2007
Separating words with small grammars. Zbl 0937.68070
Currie, James; Petersen, Holger; Robson, John Michael; Shallit, Jeffrey
3
1999
Infinite words containing squares at every position. Zbl 1184.68370
Currie, James; Rampersad, Narad
3
2010
There are \(k\)-uniform cubefree binary morphisms for all \(k \geq 0\). Zbl 1211.05006
Currie, James; Rampersad, Narad
3
2009
A word on 7 letters which is non-repetitive up to mod 5. Zbl 1060.68092
Currie, James D.; Moodie, Erica
3
2003
For each \(\alpha > 2\) there is an infinite binary word with critical exponent \(\alpha \). Zbl 1183.68439
Currie, James D.; Rampersad, Narad
3
2008
Circular repetition thresholds on some small alphabets: last cases of Gorbunova’s conjecture. Zbl 1429.68202
Currie, James D.; Mol, Lucas; Rampersad, Narad
3
2019
The number of threshold words on \(n\) letters grows exponentially for every \(n \geq 27\). Zbl 1442.68188
Currie, James D.; Mol, Lucas; Rampersad, Narad
3
2020
Infinite ternary square-free words concatenated from permutations of a single word. Zbl 1291.68302
Currie, James
3
2013
Palindrome positions in ternary square-free words. Zbl 1145.68041
Currie, James D.
2
2008
Lexicographically least words in the orbit closure of the Rudin-Shapiro word. Zbl 1223.68090
Currie, James
2
2011
No iterated morphism generates any arshon sequence of odd order. Zbl 1011.68069
Currie, James D.
2
2002
Square-free words with square-free self-shuffles. Zbl 1297.68191
Currie, James D.; Saari, Kalle
2
2014
Binary words avoiding \(xx^Rx\) and strongly unimodal sequences. Zbl 1329.68194
Currie, James; Rampersad, Narad
2
2015
The set of \(k\)-power free words over \(\Sigma\) is empty or perfect. Zbl 1023.68071
Currie, James D.; Shelton, Robert O.
2
2003
Cubefree words with many squares. Zbl 1280.68147
Currie, James; Rampersad, Narad
2
2010
Non-repetitive words: Ages and essences. Zbl 0847.68057
Currie, James D.
1
1996
On avoidability of formulas with reversal. Zbl 1390.68512
Currie, James D.; Mol, Lucas; Rampersad, Narad
1
2017
Cantor sets and Dejean’s conjecture. Zbl 1096.68691
Currie, James O.; Shelton, Robert O.
1
1996
Connectivity of distance graphs. Zbl 0777.05058
Currie, J. D.
1
1992
Words without near-repetitions. Zbl 0792.68072
Currie, J.; Bendor-Samuel, A.
1
1992
Counting endomorphisms of crown-like orders. Zbl 1026.06005
Currie, James D.; Visentin, Terry I.
1
2002
Extremal words in the shift orbit closure of a morphic sequence. Zbl 1381.68231
Currie, James D.; Rampersad, Narad; Saari, Kalle
1
2013
Finite test sets for morphisms that are squarefree on some of Thue’s squarefree ternary words. Zbl 1447.68011
Currie, James D.
1
2019
Suffix conjugates for a class of morphic subshifts (extended abstract). Zbl 1398.68306
Currie, James D.; Rampersad, Narad; Saari, Kalle
1
2013
The undirected repetition threshold and undirected pattern avoidance. Zbl 1489.68215
Currie, James D.; Mol, Lucas
5
2021
The repetition threshold for binary rich words. Zbl 1456.68135
Currie, James D.; Mol, Lucas; Rampersad, Narad
6
2020
The number of threshold words on \(n\) letters grows exponentially for every \(n \geq 27\). Zbl 1442.68188
Currie, James D.; Mol, Lucas; Rampersad, Narad
3
2020
Some further results on squarefree arithmetic progressions in infinite words. Zbl 1436.68276
Currie, James; Harju, Tero; Ochem, Pascal; Rampersad, Narad
6
2019
Circular repetition thresholds on some small alphabets: last cases of Gorbunova’s conjecture. Zbl 1429.68202
Currie, James D.; Mol, Lucas; Rampersad, Narad
3
2019
Finite test sets for morphisms that are squarefree on some of Thue’s squarefree ternary words. Zbl 1447.68011
Currie, James D.
1
2019
Avoidance bases for formulas with reversal. Zbl 1395.68223
Currie, James D.; Mol, Lucas; Rampersad, Narad
4
2018
A family of formulas with reversal of high avoidability index. Zbl 1378.68132
Currie, James; Mol, Lucas; Rampersad, Narad
8
2017
On avoidability of formulas with reversal. Zbl 1390.68512
Currie, James D.; Mol, Lucas; Rampersad, Narad
1
2017
Growth rate of binary words avoiding \(xxx^{R}\). Zbl 1334.68170
Currie, James; Rampersad, Narad
7
2016
Avoidability index for binary patterns with reversal. Zbl 1332.68177
Currie, James; Lafrance, Philip
6
2016
Unary patterns with permutations. Zbl 1434.68383
Currie, James; Manea, Florin; Nowotka, Dirk
4
2015
Binary words avoiding \(xx^Rx\) and strongly unimodal sequences. Zbl 1329.68194
Currie, James; Rampersad, Narad
2
2015
Abelian complexity of fixed point of morphism \(0 \mapsto 012, 1 \mapsto 02, 2 \mapsto 1\). Zbl 1285.68128
Blanchet-Sadri, F.; Currie, James D.; Rampersad, Narad; Fox, Nathan
12
2014
Avoiding three consecutive blocks of the same size and same sum. Zbl 1295.68173
Cassaigne, Julien; Currie, James D.; Schaeffer, Luke; Shallit, Jeffrey
11
2014
Extremal words in morphic subshifts. Zbl 1296.68116
Currie, James D.; Rampersad, Narad; Saari, Kalle; Zamboni, Luca Q.
4
2014
Square-free words with square-free self-shuffles. Zbl 1297.68191
Currie, James D.; Saari, Kalle
2
2014
Infinite ternary square-free words concatenated from permutations of a single word. Zbl 1291.68302
Currie, James
3
2013
Extremal words in the shift orbit closure of a morphic sequence. Zbl 1381.68231
Currie, James D.; Rampersad, Narad; Saari, Kalle
1
2013
Suffix conjugates for a class of morphic subshifts (extended abstract). Zbl 1398.68306
Currie, James D.; Rampersad, Narad; Saari, Kalle
1
2013
Unary patterns with involution. Zbl 1269.68074
Bischoff, Bastian; Currie, James; Nowotka, Dirk
8
2012
Fixed points avoiding abelian \(k\)-powers. Zbl 1298.68203
Currie, James D.; Rampersad, Narad
6
2012
A proof of Dejean’s conjecture. Zbl 1215.68192
Currie, James; Rampersad, Narad
48
2011
Recurrent words with constant abelian complexity. Zbl 1222.68126
Currie, James; Rampersad, Narad
11
2011
Lexicographically least words in the orbit closure of the Rudin-Shapiro word. Zbl 1223.68090
Currie, James
2
2011
Infinite words containing squares at every position. Zbl 1184.68370
Currie, James; Rampersad, Narad
3
2010
Cubefree words with many squares. Zbl 1280.68147
Currie, James; Rampersad, Narad
2
2010
Dejean’s conjecture holds for \({n\geq 27}\). Zbl 1192.68497
Currie, James; Rampersad, Narad
18
2009
Least periods of factors of infinite words. Zbl 1162.68510
Currie, James D.; Saari, Kalle
18
2009
Dejean’s conjecture holds for \(n\geq 30\). Zbl 1173.68050
Currie, James; Rampersad, Narad
16
2009
A cyclic binary morphism avoiding abelian fourth powers. Zbl 1161.68044
Currie, James D.; Aberkane, Ali
7
2009
There are \(k\)-uniform cubefree binary morphisms for all \(k \geq 0\). Zbl 1211.05006
Currie, James; Rampersad, Narad
3
2009
Long binary patterns are abelian 2-avoidable. Zbl 1171.68034
Currie, James D.; Visentin, Terry I.
5
2008
For each \(\alpha > 2\) there is an infinite binary word with critical exponent \(\alpha \). Zbl 1183.68439
Currie, James D.; Rampersad, Narad
3
2008
Palindrome positions in ternary square-free words. Zbl 1145.68041
Currie, James D.
2
2008
Dejean’s conjecture and Sturmian words. Zbl 1111.68096
Mohammad-Noori, M.; Currie, James D.
35
2007
On abelian 2-avoidable binary patterns. Zbl 1111.68094
Currie, James D.; Visentin, Terry I.
3
2007
Binary words containing infinitely many overlaps. Zbl 1108.68094
Currie, James; Rampersad, Narad; Shallit, Jeffrey
5
2006
Pattern avoidance: themes and variations. Zbl 1076.68051
Currie, James D.
30
2005
Attainable lengths for circular binary words avoiding \(k\) powers. Zbl 1137.68046
Aberkane, Ali; Currie, James D.
4
2005
The Thue-Morse word contains circular \(5/2^+\) power free words of every length. Zbl 1070.68125
Aberkane, Ali; Currie, James D.
4
2005
There exist binary circular \(5/2^+\) power free words of every length. Zbl 1058.68084
Aberkane, Ali; Currie, James D.
11
2004
The number of ternary words avoiding abelian cubes grows exponentially. Zbl 1101.68741
Aberkane, Ali; Currie, James D.; Rampersad, Narad
11
2004
The number of binary words avoiding Abelian fourth powers grows exponentially. Zbl 1068.68113
Currie, James D.
9
2004
Circular words avoiding patterns. Zbl 1015.68137
Currie, James D.; Fitzpatrick, D. Sean
13
2003
The fixing block method in combinatorics on words. Zbl 1099.68684
Currie, J. D.; Pierce, C. W.
6
2003
A word on 7 letters which is non-repetitive up to mod 5. Zbl 1060.68092
Currie, James D.; Moodie, Erica
3
2003
The set of \(k\)-power free words over \(\Sigma\) is empty or perfect. Zbl 1023.68071
Currie, James D.; Shelton, Robert O.
2
2003
There are ternary circular square-free words of length \(n\) for \(n \geq\) 18. Zbl 1057.68081
Currie, James D.
32
2002
Non-repetitive tilings. Zbl 1004.05020
Currie, James D.; Simpson, Jamie
14
2002
No iterated morphism generates any arshon sequence of odd order. Zbl 1011.68069
Currie, James D.
2
2002
Counting endomorphisms of crown-like orders. Zbl 1026.06005
Currie, James D.; Visentin, Terry I.
1
2002
The metric dimension and metric independence of a graph. Zbl 0986.05040
Currie, James; Oellermann, Ortrud R.
30
2001
Avoiding patterns in the abelian sense. Zbl 0986.68103
Currie, J.; Linek, V.
11
2001
Words strongly avoiding fractional powers. Zbl 0948.68140
Cassaigne, Julien; Currie, James D.
9
1999
Separating words with small grammars. Zbl 0937.68070
Currie, James; Petersen, Holger; Robson, John Michael; Shallit, Jeffrey
3
1999
Extremal infinite overlap-free binary words. Zbl 0890.68107
Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey
11
1998
Cantor sets and Dejean’s conjecture. Zbl 0867.68068
Currie, James D.; Shelton, Robert O.
7
1996
Non-repetitive words: Ages and essences. Zbl 0847.68057
Currie, James D.
1
1996
Cantor sets and Dejean’s conjecture. Zbl 1096.68691
Currie, James O.; Shelton, Robert O.
1
1996
On the structure and extendibility of \(k\)-power free words. Zbl 0824.68094
Currie, James D.
6
1995
Open problems in pattern avoidance. Zbl 0798.68139
Currie, James
23
1993
Connectivity of distance graphs. Zbl 0777.05058
Currie, J. D.
1
1992
Words without near-repetitions. Zbl 0792.68072
Currie, J.; Bendor-Samuel, A.
1
1992
The number of order-preserving maps of fences and crowns. Zbl 0749.05005
Currie, J. D.; Visentin, T. I.
11
1991
Which graphs allow infinite nonrepetitive walks? Zbl 0718.05030
Currie, James D.
8
1991
Class numbers and biquadratic reciprocity. Zbl 0473.12004
Williams, Kenneth S.; Currie, James D.
7
1982
all top 5

Cited by 332 Authors

40 Currie, James D.
31 Rampersad, Narad
25 Shallit, Jeffrey Outlaw
18 Grytczuk, Jarosław
18 Ochem, Pascal
15 Shur, Arseny M.
10 Mól, Lucas A. S.
9 Rosenfeld, Matthieu
8 Harju, Tero
8 Pelantová, Edita
7 Blanchet-Sadri, Francine
7 Dvořáková, L’ubomíra
7 Koppitz, Jörg
7 Manea, Florin
7 Nowotka, Dirk
7 Saari, Kalle
6 Badkobeh, Golnaz
6 Rao, Michaël
6 Węsek, Krzysztof
6 Yi, Eunjeong
5 Čangalović, Mirjana M.
5 Crochemore, Maxime
5 Müller, Mike
5 Petrova, Elena A.
5 Rigo, Michel
5 Rowland, Eric S.
4 Carpi, Arturo
4 Cassaigne, Julien
4 Dȩbski, Michał
4 Fecková Škrabuľáková, Erika
4 Goč, Daniel
4 Jendrol’, Stanislav
4 Kang, Cong Xuang
4 Kovačević-Vujčić, Vera V.
4 Kratica, Jozef J.
4 Pastwa, Urszula
4 Richomme, Gwénaël
4 Salo, Ville O.
4 Schaeffer, Luke
4 Soták, Roman
4 Zhu, Xuding
3 Chen, Jin
3 Czap, Július
3 Dolce, Francesco
3 Gabric, Daniel
3 Gawrychowski, Paweł
3 Lohapan, Laddawan
3 Lužar, Borut
3 Mercaş, Robert George
3 Mignosi, Filippo
3 Mousavi, Hamoon
3 Nayar, Barbara
3 Przybyło, Jakub
3 Restivo, Antonio
3 Schreyer, Jens
3 Sun, Zhi-Wei
3 Wenus, Przemysław
3 Whiteland, Markus A.
3 Wood, David Ronald
3 Wu, Wen
3 Zamboni, Luca Quardo
2 Aberkane, Ali
2 Ali, Shahbaz
2 Allouche, Jean-Paul Simon
2 Alon, Noga
2 Chalopin, Jérémie
2 Chybowska-Sokół, Joanna
2 d’Alonzo, Valerio
2 Dimitrova, Ilinka
2 Dubickas, Artūras
2 Dujmović, Vida
2 Fici, Gabriele
2 Fiorenzi, Francesca
2 Gorbunova, Irina A.
2 Henshall, Dane
2 Javaid, Muhammad Bin
2 Junosza-Szaniawski, Konstanty
2 Kolpakov, Roman M.
2 Kordulewski, Hubert
2 Kosiński, Karol
2 Kozik, Jakub
2 Krieger, Dalia
2 Lladser, Manuel E.
2 Lü, Xiaotao
2 Mahmood, Muhammad Khalid
2 Mikhailova, Inna A.
2 Mockovčiaková, Martina
2 Musunthia, Tiwadee
2 Oellermann, Ortrud R.
2 Opočenská, Daniela
2 Ossona de Mendez, Patrice
2 Pawlik, Bartłomiej
2 Peterin, Iztok
2 Pinlou, Alexandre
2 Puzynina, Svetlana
2 Rutkowski, Aleksander
2 Rytter, Wojciech
2 Saarela, Aleksi
2 Séébold, Patrice
2 Sokół, Joanna
...and 232 more Authors
all top 5

Cited in 73 Serials

60 Theoretical Computer Science
21 The Electronic Journal of Combinatorics
19 RAIRO. Theoretical Informatics and Applications
17 Discrete Mathematics
12 Discrete Applied Mathematics
11 International Journal of Foundations of Computer Science
8 European Journal of Combinatorics
7 Theory of Computing Systems
7 RAIRO. Theoretical Informatics and Applications
5 Information Processing Letters
5 Journal of Combinatorial Theory. Series A
5 Journal of Computer and System Sciences
5 Order
5 Journal of Integer Sequences
4 Advances in Applied Mathematics
4 Graphs and Combinatorics
3 Mathematics of Computation
3 Journal of Graph Theory
3 Combinatorica
3 SIAM Journal on Discrete Mathematics
3 Random Structures & Algorithms
3 International Journal of Algebra and Computation
3 Journal of Algebra and its Applications
2 Journal of Number Theory
2 Indagationes Mathematicae. New Series
2 Finite Fields and their Applications
2 Discrete Mathematics and Theoretical Computer Science. DMTCS
2 Acta Mathematica Sinica. English Series
2 Fundamenta Informaticae
2 Contributions to Discrete Mathematics
2 Optimization Letters
2 Computer Science Review
2 Journal of Mathematics
1 Acta Informatica
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Mathematics Magazine
1 Applied Mathematics and Computation
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Semigroup Forum
1 Ergodic Theory and Dynamical Systems
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Algorithmica
1 Information and Computation
1 Computers & Operations Research
1 Neural Networks
1 European Journal of Operational Research
1 SIAM Review
1 The Australasian Journal of Combinatorics
1 Computational Optimization and Applications
1 Kyushu Journal of Mathematics
1 Turkish Journal of Mathematics
1 Journal of Difference Equations and Applications
1 Mathematical Problems in Engineering
1 The Ramanujan Journal
1 Novi Sad Journal of Mathematics
1 Journal of the ACM
1 Annals of Combinatorics
1 Integers
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Entropy
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 AKCE International Journal of Graphs and Combinatorics
1 International Journal of Number Theory
1 Proyecciones
1 Applicable Analysis and Discrete Mathematics
1 European Journal of Mathematics
1 Electronic Research Archive
1 Enumerative Combinatorics and Applications

Citations by Year