James D. Currie

dblp:59/946 · DBLP profile ↗
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24ranked-venue papers
22as first author
3since 2021 · last 2024
0000-0002-0061-3849ORCID · verified

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Theory of computation · 23 · 22 first-author · 3 since 2021Applied, interdisciplinary, general and emerging computing · 1
YearPublicationVenuePosition
2024 Extending Dekking's Construction of an Infinite Binary Word Avoiding Abelian 4-Powers
abstract
Abstract. We construct an infinite binary word with critical exponent 3 that avoids abelian 4-powers. Our method gives an algorithm to determine whether certain types of morphic sequences avoid additive powers. We also show that there are [Formula: see text] binary words of length [Formula: see text] that avoid abelian 4-powers, which improves on previous estimates.
James D. Currie, Lucas Mol, Narad Rampersad, Jeffrey Shallit
SIAM J. Discret. Math.1
2021 Characterization of the lengths of binary circular words containing no squares other than 00, 11, and 0101
James D. Currie, Jesse T. Johnson
Theor. Comput. Sci.1
2021 The undirected repetition threshold and undirected pattern avoidance
James D. Currie, Lucas Mol
Theor. Comput. Sci.1
2019 Some further results on squarefree arithmetic progressions in infinite words
James D. Currie, Tero Harju, Pascal Ochem, Narad Rampersad
Theor. Comput. Sci.1
2018 Unary patterns under permutations
James D. Currie, Florin Manea, Dirk Nowotka, Kamellia Reshadi
Theor. Comput. Sci.1
2018 Avoidance bases for formulas with reversal
James D. Currie, Lucas Mol, Narad Rampersad
Theor. Comput. Sci.1
2016 Growth rate of binary words avoiding xxxR
James D. Currie, Narad Rampersad
Theor. Comput. Sci.1
2015 Unary Patterns with Permutations
James D. Currie, Florin Manea, Dirk Nowotka
DLT1
2014 Avoiding Three Consecutive Blocks of the Same Size and Same Sum
abstract
We show that there exists an infinite word over the alphabet {0, 1, 3, 4} containing no three consecutive blocks of the same size and the same sum. This answers an open problem of Pirillo and Varricchio from 1994.
Julien Cassaigne, James D. Currie, Luke Schaeffer, Jeffrey Shallit
J. ACM2
2013 Extremal Words in the Shift Orbit Closure of a Morphic Sequence
James D. Currie, Narad Rampersad, Kalle Saari
Developments in Language Theory1
2013 Infinite ternary square-free words concatenated from permutations of a single word
James D. Currie
Theor. Comput. Sci.1
2011 Lexicographically least words in the orbit closure of the Rudin-Shapiro word
James D. Currie
Theor. Comput. Sci.1
2009 There are k-uniform cubefree binary morphisms for all k>=0
James D. Currie, Narad Rampersad
Discret. Appl. Math.1
2009 A cyclic binary morphism avoiding Abelian fourth powers
James D. Currie, Ali Aberkane
Theor. Comput. Sci.1
2009 Dejean's conjecture holds for n>=30
James D. Currie, Narad Rampersad
Theor. Comput. Sci.1
2008 Palindrome positions in ternary square-free words
James D. Currie
Theor. Comput. Sci.1
2008 Long binary patterns are Abelian 2-avoidable
James D. Currie, Terry I. Visentin
Theor. Comput. Sci.1
2007 On Abelian 2-avoidable binary patterns
James D. Currie, Terry I. Visentin
Acta Informatica1
2005 The Thue-Morse word contains circular 5/2+ power free words of every length
Ali Aberkane, James D. Currie
Theor. Comput. Sci.2
2005 Pattern avoidance: themes and variations
James D. Currie
Theor. Comput. Sci.1
2004 The number of binary words avoiding abelian fourth powers grows exponentially
James D. Currie
Theor. Comput. Sci.1
2003 A word on 7 letters which is non-repetitive up to mod 5
James D. Currie, Erica Moodie
Acta Informatica1
2002 Circular Words Avoiding Patterns
James D. Currie, D. Sean Fitzpatrick
Developments in Language Theory1
1995 Cantor Sets and Dejean's Conjecture
James D. Currie, Robert O. Shelton
Developments in Language Theory1