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ORCIDJames D. Currie
Person information
- affiliation: University of Winnipeg, Department of Mathematics and Statistics, Canada
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Journal Articles
- 2024
[j61]James D. Currie, Narad Rampersad:
A Small Morphism for which the Fixed Point has an Abelian Critical Exponent Less than 2. RAIRO Theor. Informatics Appl. 58: 14 (2024)- 2023
- [j60]James D. Currie
, Pascal Ochem, Narad Rampersad, Jeffrey O. Shallit:
Properties of a ternary infinite word. RAIRO Theor. Informatics Appl. 57: 1 (2023) - 2021
- [j59]James D. Currie, Jesse T. Johnson:
Characterization of the lengths of binary circular words containing no squares other than 00, 11, and 0101. Theor. Comput. Sci. 850: 30-39 (2021) - [j58]James D. Currie, Lucas Mol:
The undirected repetition threshold and undirected pattern avoidance. Theor. Comput. Sci. 866: 56-69 (2021) - 2020
- [j57]James D. Currie, Lucas Mol, Narad Rampersad:
The repetition threshold for binary rich words. Discret. Math. Theor. Comput. Sci. 22(1) (2020) - [j56]James D. Currie, Lucas Mol, Narad Rampersad:
The Number of Threshold Words on n Letters Grows Exponentially for Every n ≥ 27. J. Integer Seq. 23(3): 20.3.1 (2020) - 2019
- [j55]James D. Currie, Lucas Mol, Narad Rampersad:
Circular Repetition Thresholds on Some Small Alphabets: Last Cases of Gorbunova's Conjecture. Electron. J. Comb. 26(2): 2 (2019) - [j54]James D. Currie:
Finite Test Sets for Morphisms That Are Squarefree on Some of Thue's Squarefree Ternary Words. J. Integer Seq. 22(8): 19.8.2 (2019) - [j53]James D. Currie, Tero Harju, Pascal Ochem, Narad Rampersad:
Some further results on squarefree arithmetic progressions in infinite words. Theor. Comput. Sci. 799: 140-148 (2019) - 2018
- [j52]James D. Currie, Lucas Mol, Narad Rampersad:
Avoidance bases for formulas with reversal. Theor. Comput. Sci. 738: 25-41 (2018) - [j51]James D. Currie, Florin Manea, Dirk Nowotka, Kamellia Reshadi:
Unary patterns under permutations. Theor. Comput. Sci. 743: 72-82 (2018) - 2017
- [j50]James D. Currie, Lucas Mol, Narad Rampersad:
A family of formulas with reversal of high avoidability index. Int. J. Algebra Comput. 27(5): 477-493 (2017) - [j49]James D. Currie, Lucas Mol, Narad Rampersad:
On avoidability of formulas with reversal. RAIRO Theor. Informatics Appl. 51(4): 181-189 (2017) - 2016
- [j48]James D. Currie, Philip Lafrance:
Avoidability Index for Binary Patterns with Reversal. Electron. J. Comb. 23(1): 1 (2016) - [j47]James D. Currie:
A Ternary Square-free Sequence Avoiding Factors Equivalent to $abcacba$. Electron. J. Comb. 23(2): 2 (2016) - [j46]James D. Currie, Narad Rampersad:
Growth rate of binary words avoiding xxxR. Theor. Comput. Sci. 609: 456-468 (2016) - 2015
- [j45]James D. Currie, Narad Rampersad:
Binary Words Avoiding x xR x and Strongly Unimodal Sequences. J. Integer Seq. 18(10): 15.10.3 (2015) - 2014
- [j44]James D. Currie, Kalle Saari:
Square-free Words with Square-free Self-shuffles. Electron. J. Comb. 21(1): 1 (2014) - [j43]James D. Currie, Narad Rampersad, Kalle Saari, Luca Q. Zamboni:
Extremal words in morphic subshifts. Discret. Math. 322: 53-60 (2014) - [j42]Francine Blanchet-Sadri, James D. Currie, Narad Rampersad, Nathan Fox:
Abelian Complexity of Fixed Point of Morphism 0 ↦ 012, 1 ↦ 02, 2 ↦ 1. Integers 14: A11 (2014) - [j41]Julien Cassaigne, James D. Currie, Luke Schaeffer, Jeffrey O. Shallit:
Avoiding Three Consecutive Blocks of the Same Size and Same Sum. J. ACM 61(2): 10:1-10:17 (2014) - [j40]James D. Currie:
The Least Self-Shuffle of the Thue-Morse Sequence. J. Integer Seq. 17(10): 14.10.2 (2014) - 2013
- [j39]James D. Currie:
Infinite ternary square-free words concatenated from permutations of a single word. Theor. Comput. Sci. 482: 1-8 (2013) - 2012
- [j38]Bastian Bischoff, James D. Currie, Dirk Nowotka:
Unary Patterns with involution. Int. J. Found. Comput. Sci. 23(8): 1641-1652 (2012) - [j37]James D. Currie, Narad Rampersad:
Fixed points avoiding Abelian k-powers. J. Comb. Theory A 119(5): 942-948 (2012) - 2011
- [j36]James D. Currie, Narad Rampersad:
Recurrent words with constant Abelian complexity. Adv. Appl. Math. 47(1): 116-124 (2011) - [j35]James D. Currie, Narad Rampersad:
A proof of Dejean's conjecture. Math. Comput. 80(274): 1063-1070 (2011) - [j34]James D. Currie:
Lexicographically least words in the orbit closure of the Rudin-Shapiro word. Theor. Comput. Sci. 412(35): 4742-4746 (2011) - 2010
- [j33]James D. Currie, Narad Rampersad:
Cubefree words with many squares. Discret. Math. Theor. Comput. Sci. 12(3): 29-34 (2010) - [j32]James D. Currie, Narad Rampersad:
Infinite words containing squares at every position. RAIRO Theor. Informatics Appl. 44(1): 113-124 (2010) - 2009
- [j31]James D. Currie, Narad Rampersad:
There are k-uniform cubefree binary morphisms for all k>=0. Discret. Appl. Math. 157(11): 2548-2551 (2009) - [j30]James D. Currie, Kalle Saari:
Least Periods of Factors of Infinite Words. RAIRO Theor. Informatics Appl. 43(1): 165-178 (2009) - [j29]James D. Currie, Narad Rampersad:
Dejean's conjecture holds for $\sf {N\ge 27}$. RAIRO Theor. Informatics Appl. 43(4): 775-778 (2009) - [j28]James D. Currie, Ali Aberkane:
A cyclic binary morphism avoiding Abelian fourth powers. Theor. Comput. Sci. 410(1): 44-52 (2009) - [j27]James D. Currie, Narad Rampersad:
Dejean's conjecture holds for n>=30. Theor. Comput. Sci. 410(30-32): 2885-2888 (2009) - 2008
- [j26]James D. Currie, Narad Rampersad:
For each α > 2 there is an Infinite Binary Word with Critical Exponent α. Electron. J. Comb. 15(1) (2008) - [j25]James D. Currie:
Palindrome positions in ternary square-free words. Theor. Comput. Sci. 396(1-3): 254-257 (2008) - [j24]James D. Currie, Terry I. Visentin:
Long binary patterns are Abelian 2-avoidable. Theor. Comput. Sci. 409(3): 432-437 (2008) - 2007
- [j23]James D. Currie, Terry I. Visentin:
On Abelian 2-avoidable binary patterns. Acta Informatica 43(8): 521-533 (2007) - [j22]Morteza Mohammad Noori, James D. Currie:
Dejean's conjecture and Sturmian words. Eur. J. Comb. 28(3): 876-890 (2007) - 2006
- [j21]James D. Currie, Narad Rampersad, Jeffrey O. Shallit:
Binary Words Containing Infinitely Many Overlaps. Electron. J. Comb. 13(1) (2006) - 2005
- [j20]Ali Aberkane, James D. Currie:
The Thue-Morse word contains circular 5/2+ power free words of every length. Theor. Comput. Sci. 332(1-3): 573-581 (2005) - [j19]James D. Currie:
Pattern avoidance: themes and variations. Theor. Comput. Sci. 339(1): 7-18 (2005) - 2004
- [j18]Ali Aberkane, James D. Currie:
There Exist Binary Circular 5/2+ Power Free Words of Every Length. Electron. J. Comb. 11(1) (2004) - [j17]James D. Currie:
The number of binary words avoiding abelian fourth powers grows exponentially. Theor. Comput. Sci. 319(1-3): 441-446 (2004) - 2003
- [j16]James D. Currie, Erica Moodie:
A word on 7 letters which is non-repetitive up to mod 5. Acta Informatica 39(6-7): 451-468 (2003) - [j15]James D. Currie, Cameron W. Pierce:
The Fixing Block Method in Combinatorics on Words. Comb. 23(4): 571-584 (2003) - [j14]James D. Currie, Robert O. Shelton:
The set of k-power free words over sigma is empty or perfect, . Eur. J. Comb. 24(5): 573-580 (2003) - 2002
- [j13]James D. Currie:
There Are Ternary Circular Square-Free Words of Length n for n >= 18. Electron. J. Comb. 9(1) (2002) - [j12]James D. Currie, Jamie Simpson:
Non-Repetitive Tilings. Electron. J. Comb. 9(1) (2002) - [j11]James D. Currie:
No iterated morphism generates any Arshon sequence of odd order. Discret. Math. 259(1-3): 277-283 (2002) - [j10]James D. Currie, Terry I. Visentin:
Counting Endomorphisms of Crown-like Orders. Order 19(4): 305-317 (2002) - 1999
- [j9]Julien Cassaigne, James D. Currie:
Words Strongly Avoiding Fractional Powers. Eur. J. Comb. 20(8): 725-737 (1999) - [j8]James D. Currie, Holger Petersen, John Michael Robson, Jeffrey O. Shallit:
Separating Words with Small Grammars. J. Autom. Lang. Comb. 4(2): 101-110 (1999) - 1998
- [j7]Jean-Paul Allouche, James D. Currie, Jeffrey O. Shallit:
Extremal Infinite Overlap-Free Binary Words. Electron. J. Comb. 5 (1998) - 1996
- [j6]James D. Currie:
Non-Repetitive Words: Ages and Essences. Comb. 16(1): 19-40 (1996) - [j5]James D. Currie, Robert O. Shelton:
Cantor Sets and Dejean's Conjecture. J. Autom. Lang. Comb. 1(2): 113-127 (1996) - 1995
- [j4]James D. Currie:
A Note on Antichains of Words. Electron. J. Comb. 2 (1995) - [j3]James D. Currie:
On the structure and extendibility of k-power free words. Eur. J. Comb. 16(2): 111-124 (1995) - 1992
- [j2]James D. Currie:
Connectivity of distance graphs. Discret. Math. 103(1): 91-94 (1992) - 1991
- [j1]James D. Currie:
Which graphs allow infinite nonrepetitive walks? Discret. Math. 87(3): 249-260 (1991)
Conference and Workshop Papers
- 2019
- [c7]James D. Currie, Lucas Mol:
The Undirected Repetition Threshold. WORDS 2019: 145-158 - 2015
- [c6]James D. Currie, Florin Manea, Dirk Nowotka:
Unary Patterns with Permutations. DLT 2015: 191-202 - 2013
- [c5]James D. Currie, Narad Rampersad, Kalle Saari:
Suffix Conjugates for a Class of Morphic Subshifts - (Extended Abstract). WORDS 2013: 95-106 - [c4]James D. Currie, Narad Rampersad, Kalle Saari:
Extremal Words in the Shift Orbit Closure of a Morphic Sequence. Developments in Language Theory 2013: 143-154 - 2003
- [c3]James D. Currie:
What Is the Abelian Analogue of Dejean's Conjecture? Grammars and Automata for String Processing 2003: 237-242 - 2002
- [c2]James D. Currie, D. Sean Fitzpatrick:
Circular Words Avoiding Patterns. Developments in Language Theory 2002: 319-325 - 1995
- [c1]James D. Currie, Robert O. Shelton:
Cantor Sets and Dejean's Conjecture. Developments in Language Theory 1995: 35-43
Informal and Other Publications
- 2023
- [i34]James D. Currie:
The analogue of overlap-freeness for the period-doubling sequence. CoRR abs/2303.14539 (2023) - [i33]James D. Currie, Narad Rampersad:
The Lexicographically Least Binary Rich Word Achieving the Repetition Threshold. CoRR abs/2310.07010 (2023) - [i32]James D. Currie, Narad Rampersad:
The analogue of overlap-freeness for the Fibonacci morphism. CoRR abs/2311.12962 (2023) - [i31]James D. Currie, Narad Rampersad:
A small morphism giving Abelian repetition threshold less than 2. CoRR abs/2312.16665 (2023) - 2022
- [i30]James D. Currie, Pascal Ochem, Narad Rampersad, Jeffrey O. Shallit:
Properties of a Ternary Infinite Word. CoRR abs/2206.01776 (2022) - [i29]Aseem R. Baranwal, James D. Currie, Lucas Mol, Pascal Ochem, Narad Rampersad, Jeffrey O. Shallit:
Antisquares and Critical Exponents. CoRR abs/2209.09223 (2022) - [i28]James D. Currie, Pascal Ochem, Narad Rampersad, Jeffrey O. Shallit:
Complement Avoidance in Binary Words. CoRR abs/2209.09598 (2022) - 2021
- [i27]James D. Currie, Lucas Mol, Narad Rampersad, Jeffrey O. Shallit:
Extending Dekking's construction of an infinite binary word avoiding abelian 4-powers. CoRR abs/2111.07857 (2021) - 2020
- [i26]James D. Currie, Lucas Mol:
The undirected repetition threshold and undirected pattern avoidance. CoRR abs/2006.07474 (2020) - 2019
- [i25]James D. Currie, Tero Harju, Pascal Ochem, Narad Rampersad:
Some further results on squarefree arithmetic progressions in infinite words. CoRR abs/1901.06351 (2019) - [i24]James D. Currie:
Finite test sets for morphisms which are square-free on some of Thue's square-free ternary words. CoRR abs/1902.05651 (2019) - [i23]James D. Currie, Lucas Mol:
The undirected repetition threshold. CoRR abs/1904.10029 (2019) - [i22]James D. Currie, Lucas Mol, Narad Rampersad:
The repetition threshold for binary rich words. CoRR abs/1908.03169 (2019) - [i21]James D. Currie, Lucas Mol, Narad Rampersad:
The Number of Threshold Words on n Letters Grows Exponentially for Every n≥27. CoRR abs/1911.05779 (2019) - 2018
- [i20]James D. Currie, Lucas Mol, Narad Rampersad:
Circular repetition thresholds on some small alphabets: Last cases of Gorbunova's conjecture. CoRR abs/1803.08145 (2018) - 2016
- [i19]James D. Currie:
A ternary square-free sequence avoiding factors equivalent to abcacba. CoRR abs/1603.03059 (2016) - 2015
- [i18]James D. Currie, Narad Rampersad:
Growth rate of binary words avoiding xxxR. CoRR abs/1502.07014 (2015) - [i17]James D. Currie, Philip Lafrance:
Avoidability index for binary patterns with reversal. CoRR abs/1508.02101 (2015) - [i16]James D. Currie, Narad Rampersad:
Binary words avoiding xx^Rx and strongly unimodal sequences. CoRR abs/1508.02964 (2015) - 2014
- [i15]Maxime Crochemore, James D. Currie, Gregory Kucherov, Dirk Nowotka:
Combinatorics and Algorithmics of Strings (Dagstuhl Seminar 14111). Dagstuhl Reports 4(3): 28-46 (2014) - 2013
- [i14]James D. Currie, Narad Rampersad, Kalle Saari:
Extremal words in the shift orbit closure of a morphic sequence. CoRR abs/1301.4972 (2013) - [i13]James D. Currie, Narad Rampersad, Kalle Saari:
Suffix conjugates for a class of morphic subshifts. CoRR abs/1307.5329 (2013) - 2012
- [i12]James D. Currie:
Infinite ternary square-free words concatenated from permutations of a single word. CoRR abs/1207.3445 (2012) - 2011
- [i11]James D. Currie:
Pattern avoidance with involution. CoRR abs/1105.2849 (2011) - [i10]James D. Currie, Narad Rampersad:
Fixed points avoiding Abelian $k$-powers. CoRR abs/1106.1842 (2011) - [i9]Julien Cassaigne, James D. Currie, Luke Schaeffer, Jeffrey O. Shallit:
Avoiding Three Consecutive Blocks of the Same Size and Same Sum. CoRR abs/1106.5204 (2011) - 2009
- [i8]James D. Currie, Narad Rampersad:
Dejean's conjecture holds for n>=27. CoRR abs/0901.3188 (2009) - [i7]James D. Currie, Narad Rampersad:
A proof of Dejean's conjecture. CoRR abs/0905.1129 (2009) - [i6]James D. Currie:
The lexicographically least word in the orbit closure of the Rudin-Shapiro word. CoRR abs/0905.4923 (2009) - 2008
- [i5]James D. Currie, Narad Rampersad:
For each $α$ > 2 there is an infinite binary word with critical exponent $α$. CoRR abs/0802.4095 (2008) - [i4]James D. Currie, Narad Rampersad:
Infinite words containing squares at every position. CoRR abs/0803.1189 (2008) - [i3]James D. Currie, Narad Rampersad:
Dejean's conjecture holds for n >= 30. CoRR abs/0806.0043 (2008) - [i2]James D. Currie, Narad Rampersad:
Cubefree words with many squares. CoRR abs/0811.3233 (2008) - [i1]James D. Currie, Narad Rampersad:
There are k-uniform cubefree binary morphisms for all k >= 0. CoRR abs/0812.4470 (2008)
Coauthor Index
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