James D. Currie

Orcid: 0000-0002-0061-3849

Affiliations:
  • University of Winnipeg, Department of Mathematics and Statistics, Canada


According to our database1, James D. Currie authored at least 81 papers between 1991 and 2024.

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Bibliography

2024
A Small Morphism for which the Fixed Point has an Abelian Critical Exponent Less than 2.
RAIRO Theor. Informatics Appl., 2024

2023
Properties of a ternary infinite word.
RAIRO Theor. Informatics Appl., 2023

A small morphism giving Abelian repetition threshold less than 2.
CoRR, 2023

The analogue of overlap-freeness for the Fibonacci morphism.
CoRR, 2023

The Lexicographically Least Binary Rich Word Achieving the Repetition Threshold.
CoRR, 2023

The analogue of overlap-freeness for the period-doubling sequence.
CoRR, 2023

2022
Complement Avoidance in Binary Words.
CoRR, 2022

Antisquares and Critical Exponents.
CoRR, 2022

2021
The undirected repetition threshold and undirected pattern avoidance.
Theor. Comput. Sci., 2021

Characterization of the lengths of binary circular words containing no squares other than 00, 11, and 0101.
Theor. Comput. Sci., 2021

Extending Dekking's construction of an infinite binary word avoiding abelian 4-powers.
CoRR, 2021

2020
The Number of Threshold Words on n Letters Grows Exponentially for Every n ≥ 27.
J. Integer Seq., 2020

The repetition threshold for binary rich words.
Discret. Math. Theor. Comput. Sci., 2020

2019
Some further results on squarefree arithmetic progressions in infinite words.
Theor. Comput. Sci., 2019

Finite Test Sets for Morphisms That Are Squarefree on Some of Thue's Squarefree Ternary Words.
J. Integer Seq., 2019

Finite test sets for morphisms which are square-free on some of Thue's square-free ternary words.
CoRR, 2019

Circular Repetition Thresholds on Some Small Alphabets: Last Cases of Gorbunova's Conjecture.
Electron. J. Comb., 2019

The Undirected Repetition Threshold.
Proceedings of the Combinatorics on Words - 12th International Conference, 2019

2018
Avoidance bases for formulas with reversal.
Theor. Comput. Sci., 2018

Unary patterns under permutations.
Theor. Comput. Sci., 2018

2017
On avoidability of formulas with reversal.
RAIRO Theor. Informatics Appl., 2017

A family of formulas with reversal of high avoidability index.
Int. J. Algebra Comput., 2017

2016
Growth rate of binary words avoiding xxx<sup>R</sup>.
Theor. Comput. Sci., 2016

Avoidability Index for Binary Patterns with Reversal.
Electron. J. Comb., 2016

A Ternary Square-free Sequence Avoiding Factors Equivalent to $abcacba$.
Electron. J. Comb., 2016

2015
Binary Words Avoiding x xR x and Strongly Unimodal Sequences.
J. Integer Seq., 2015

Binary words avoiding xx^Rx and strongly unimodal sequences.
CoRR, 2015

Unary Patterns with Permutations.
Proceedings of the Developments in Language Theory - 19th International Conference, 2015

2014
The Least Self-Shuffle of the Thue-Morse Sequence.
J. Integer Seq., 2014

Avoiding Three Consecutive Blocks of the Same Size and Same Sum.
J. ACM, 2014

Abelian Complexity of Fixed Point of Morphism 0 ↦ 012, 1 ↦ 02, 2 ↦ 1.
Integers, 2014

Extremal words in morphic subshifts.
Discret. Math., 2014

Combinatorics and Algorithmics of Strings (Dagstuhl Seminar 14111).
Dagstuhl Reports, 2014

Square-free Words with Square-free Self-shuffles.
Electron. J. Comb., 2014

2013
Infinite ternary square-free words concatenated from permutations of a single word.
Theor. Comput. Sci., 2013

Suffix conjugates for a class of morphic subshifts.
CoRR, 2013

Extremal Words in the Shift Orbit Closure of a Morphic Sequence.
Proceedings of the Developments in Language Theory - 17th International Conference, 2013

Suffix Conjugates for a Class of Morphic Subshifts - (Extended Abstract).
Proceedings of the Combinatorics on Words - 9th International Conference, 2013

2012
Fixed points avoiding Abelian k-powers.
J. Comb. Theory, Ser. A, 2012

Unary Patterns with involution.
Int. J. Found. Comput. Sci., 2012

2011
Lexicographically least words in the orbit closure of the Rudin-Shapiro word.
Theor. Comput. Sci., 2011

A proof of Dejean's conjecture.
Math. Comput., 2011

Pattern avoidance with involution
CoRR, 2011

Recurrent words with constant Abelian complexity.
Adv. Appl. Math., 2011

2010
Infinite words containing squares at every position.
RAIRO Theor. Informatics Appl., 2010

Cubefree words with many squares.
Discret. Math. Theor. Comput. Sci., 2010

2009
Dejean's conjecture holds for n>=30.
Theor. Comput. Sci., 2009

A cyclic binary morphism avoiding Abelian fourth powers.
Theor. Comput. Sci., 2009

Least Periods of Factors of Infinite Words.
RAIRO Theor. Informatics Appl., 2009

Dejean's conjecture holds for $\sf {N\ge 27}$.
RAIRO Theor. Informatics Appl., 2009

There are k-uniform cubefree binary morphisms for all k>=0.
Discret. Appl. Math., 2009

The lexicographically least word in the orbit closure of the Rudin-Shapiro word
CoRR, 2009

Dejean's conjecture holds for n>=27.
CoRR, 2009

2008
Long binary patterns are Abelian 2-avoidable.
Theor. Comput. Sci., 2008

Palindrome positions in ternary square-free words.
Theor. Comput. Sci., 2008

For each α > 2 there is an Infinite Binary Word with Critical Exponent α.
Electron. J. Comb., 2008

2007
Dejean's conjecture and Sturmian words.
Eur. J. Comb., 2007

On Abelian 2-avoidable binary patterns.
Acta Informatica, 2007

2006
Binary Words Containing Infinitely Many Overlaps.
Electron. J. Comb., 2006

2005
Pattern avoidance: themes and variations.
Theor. Comput. Sci., 2005

The Thue-Morse word contains circular 5/2+ power free words of every length.
Theor. Comput. Sci., 2005

2004
The number of binary words avoiding abelian fourth powers grows exponentially.
Theor. Comput. Sci., 2004

There Exist Binary Circular 5/2<sup>+</sup> Power Free Words of Every Length.
Electron. J. Comb., 2004

2003
The set of k-power free words over sigma is empty or perfect, .
Eur. J. Comb., 2003

The Fixing Block Method in Combinatorics on Words.
Comb., 2003

A word on 7 letters which is non-repetitive up to mod 5.
Acta Informatica, 2003

What Is the Abelian Analogue of Dejean's Conjecture?
Proceedings of the Grammars and Automata for String Processing: From Mathematics and Computer Science to Biology, 2003

2002
Counting Endomorphisms of Crown-like Orders.
Order, 2002

No iterated morphism generates any Arshon sequence of odd order.
Discret. Math., 2002

Non-Repetitive Tilings.
Electron. J. Comb., 2002

There Are Ternary Circular Square-Free Words of Length n for n >= 18.
Electron. J. Comb., 2002

Circular Words Avoiding Patterns.
Proceedings of the Developments in Language Theory, 6th International Conference, 2002

1999
Separating Words with Small Grammars.
J. Autom. Lang. Comb., 1999

Words Strongly Avoiding Fractional Powers.
Eur. J. Comb., 1999

1998
Extremal Infinite Overlap-Free Binary Words.
Electron. J. Comb., 1998

1996
Cantor Sets and Dejean's Conjecture.
J. Autom. Lang. Comb., 1996

Non-Repetitive Words: Ages and Essences.
Comb., 1996

1995
On the structure and extendibility of k-power free words.
Eur. J. Comb., 1995

A Note on Antichains of Words.
Electron. J. Comb., 1995

1992
Connectivity of distance graphs.
Discret. Math., 1992

1991
Which graphs allow infinite nonrepetitive walks?
Discret. Math., 1991


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