Publications: Glen, Amy
Journal Article
Glen, A.ORCID: 0000-0002-9434-3412, Simpson, J. and Smyth, W.F.
(2019)
More properties of the Fibonacci word on an infinite alphabet.
Theoretical Computer Science, 795
.
pp. 301-311.
Glen, A.ORCID: 0000-0002-9434-3412, Simpson, J. and Smyth, W.F.
(2019)
Palindromes in starlike trees.
Australasian Journal of Combinatorics, 73
(1).
pp. 242-246.
Glen, A.ORCID: 0000-0002-9434-3412, Simpson, J. and Smyth, W.F.
(2017)
Counting Lyndon factors.
Electronic Journal of Combinatorics, 24
(3).
Glen, A.ORCID: 0000-0002-9434-3412 and Levé, F.
(2015)
Generalized trapezoidal words.
Journal of Combinatorial Theory, Series A, 136
.
pp. 96-125.
Glen, A.ORCID: 0000-0002-9434-3412 and Simpson, J.
(2013)
The total run length of a word.
Theoretical Computer Science, 501
.
pp. 41-48.
Glen, A.ORCID: 0000-0002-9434-3412, Halldórsson, B. and Kitaev, S.
(2010)
Crucial abelian k-power-free words.
Discrete Mathematics & Theoretical Computer Science, 12
(5).
pp. 83-96.
Allouche, J-P. and Glen, A.ORCID: 0000-0002-9434-3412
(2010)
Extremal properties of (epi)Sturmian sequences and distribution modulo 1.
L’Enseignement Mathématique, 56
.
pp. 365-401.
Avgustinovich, S., Glen, A.ORCID: 0000-0002-9434-3412, Halldórsson, B.V. and Kitaev, S.
(2010)
On shortest crucial words avoiding abelian powers.
Discrete Applied Mathematics, 158
(6).
pp. 605-607.
Glen, A.ORCID: 0000-0002-9434-3412, Levé, F. and Richomme, G.
(2009)
Directive words of episturmian words: equivalences and normalization.
RAIRO - Theoretical Informatics and Applications, 43
(2).
pp. 299-319.
Allouche, J-P. and Glen, A.ORCID: 0000-0002-9434-3412
(2009)
Distribution modulo 1 and the lexicographic world.
Annales des sciences mathématiques du Québec, 33
(2).
pp. 125-143.
Glen, A.ORCID: 0000-0002-9434-3412 and Justin, J.
(2009)
Episturmian words: a survey.
RAIRO - Theoretical Informatics and Applications, 43
(3).
pp. 403-442.
Glen, A.ORCID: 0000-0002-9434-3412, Justin, J., Widmer, S and Zamboni, L
(2009)
Palindromic richness.
European Journal of Combinatorics, 30
(2).
pp. 510-531.
Bucci, M., Deluca, A., Glen, A.ORCID: 0000-0002-9434-3412 and Zamboni, L.
(2009)
A connection between palindromic and factor complexity using return words.
Advances in Applied Mathematics, 42
(1).
pp. 60-74.
Bucci, M., De Luca, A., Glen, A.ORCID: 0000-0002-9434-3412 and Zamboni, L.Q.
(2009)
A new characteristic property of rich words.
Theoretical Computer Science, 410
(30-32).
pp. 2860-2863.
Glen, A.ORCID: 0000-0002-9434-3412, Justin, J. and Pirillo, G.
(2008)
Characterizations of finite and infinite episturmian words via lexicographic orderings.
European Journal of Combinatorics, 29
(1).
pp. 45-58.
Glen, A.ORCID: 0000-0002-9434-3412, Levé, F. and Richomme, G.
(2008)
Quasiperiodic and Lyndon episturmian words.
Theoretical Computer Science, 409
(3).
pp. 578-600.
De Luca, A., Glen, A.ORCID: 0000-0002-9434-3412 and Zamboni, L.
(2008)
Rich, Sturmian, and trapezoidal words.
Theoretical Computer Science, 407
(1-3).
pp. 569-573.
Glen, A.ORCID: 0000-0002-9434-3412
(2008)
A characterization of fine words over a finite alphabet.
Theoretical Computer Science, 391
(1-2).
pp. 51-60.
Glen, A.ORCID: 0000-0002-9434-3412, Lauve, A. and Saliola, F.V.
(2008)
A note on the Markoff condition and central words.
Information Processing Letters, 105
(6).
pp. 241-244.
Blondin-Massé, A., Brlek, S., Glen, A.ORCID: 0000-0002-9434-3412 and Labbé, S.
(2007)
On the critical exponent of generalized Thue-Morse sequences.
Discrete Mathematics & Theoretical Computer Science, 9
(1).
pp. 293-304.
Glen, A.ORCID: 0000-0002-9434-3412
(2007)
Powers in a class of A-strict standard episturmian words.
Theoretical Computer Science, 380
(3).
pp. 330-354.
Glen, A.ORCID: 0000-0002-9434-3412
(2006)
Occurrences of palindromes in characteristic Sturmian words.
Theoretical Computer Science, 352
(1-3).
pp. 31-46.
Glen, A.ORCID: 0000-0002-9434-3412
(2006)
On Sturmian and episturmian words, and related topics.
Bulletin of the Australian Mathematical Society, 74
(01).
pp. 155-160.
Glen, A.ORCID: 0000-0002-9434-3412
(2004)
Conjugates of characteristic Sturmian words generated by morphisms.
European Journal of Combinatorics, 25
(7).
pp. 1025-1037.
Glen, A.ORCID: 0000-0002-9434-3412 and Scott, P.
(2004)
Euler and his contribution to Number Theory.
The Australian Mathematics Teacher, 60
(10).
pp. 2-5.
Conference Paper
Glen, A.ORCID: 0000-0002-9434-3412, Halldórsson, B.V. and Kitaev, S.
(2009)
Crucial words for abelian powers.
In: Proceedings of the 13th International Conference on Developments in Language Theory, 30 June - 3 July, Stuttgart, Germany, pp. 264-275
pp. 264-275.
Glen, A.ORCID: 0000-0002-9434-3412, Levé, F. and Richomme, G.
(2008)
Directive words of episturmian words.
In: 12th Mons Theoretical Computer Science Days (Journées Montoises d'Informatique Théorique), 27 - 30 August, Mons, Belgium
Bucci, M., De Luca, A., Glen, A.ORCID: 0000-0002-9434-3412 and Zamboni, L.
(2008)
A new characteristic property of rich words.
In: 12th Mons Theoretical Computer Science Days (Journées Montoises d'Informatique Théorique), 27 - 30 August, Mons, Belgium
Glen, A.ORCID: 0000-0002-9434-3412
(2007)
Order and quasiperiodicity in episturmian words.
In: Sixth International Conference on Words, 17 - 21 September, Marseille, France
Glen, A.ORCID: 0000-0002-9434-3412
(2006)
A characterization of fine words over a finite alphabet.
In: International school and conference on Combinatorics, Automata and Number Theory, 8 - 9 May, Liege, Belgium
Glen, A.ORCID: 0000-0002-9434-3412
(2005)
Powers in a class of A-strict standard episturmian words.
In: 5th International Conference on Words, 13 - 17 September, Quebec, Canada
Conference Item
Glen, A.ORCID: 0000-0002-9434-3412
(2015)
On the number of palindromically rich words.
In: 59th Annual Meeting of the Australian Mathematical Society, 28 September - 1 October 2015, Flinders University, Adelaide.
Glen, A.ORCID: 0000-0002-9434-3412
(2014)
Palindromically rich GT-words.
In: 38th Australasian Conference on Combinatorial Mathematics & Combinatorial Computing (38ACCMCC), 1 - 5 December, Wellington, New Zealand.
Glen, A.ORCID: 0000-0002-9434-3412
(2013)
A note on self-maximal numbers.
In: 37th Australasian Conference on Combinatorial Mathematics & Combinatorial Computing (37ACCMCC), 9 - 12 December, Perth, Western Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2012)
Combinatorics of Lyndon Words.
In: Combinatorics, Representations, and Structure of Lie Type, 16 - 17 February, Melbourne, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2012)
On a generalisation of trapezoidal words.
In: Outstanding Challenges in Combinatorics on Words, Banff International Research Station (BIRS), 19 - 24 February, Banff Centre, Canada.
Glen, A.ORCID: 0000-0002-9434-3412 and Levé, F.
(2011)
On a generalisation of trapezoidal words.
In: 35th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (35ACCMCC), 5 December - 9 December, Melbourne, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2011)
A combinatorial approach to a problem in distribution modulo 1.
In: Séminaire du Laboratoire de MIS, Université de Picardie Jules Verne, July, Amiens, France.
Glen, A.ORCID: 0000-0002-9434-3412
(2010)
Finite & infinite words in Number Theory.
In: School of Mathematical Sciences Colloquium, 12 February, The University of Adelaide.
Glen, A.ORCID: 0000-0002-9434-3412
(2010)
On almost rich words.
In: Mini-Workshop: Combinatorics on Words, Mathematisches Forschungsinstitut Oberwolfach, 22 - 28 August, Germany.
Glen, A.ORCID: 0000-0002-9434-3412
(2010)
Rich, Sturmian & trapezoidal words.
In: 54th Annual Meeting of the Australian Mathematical Society, 27 - 30 September, Brisbane, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2009)
Abelian repetitions and crucial words.
In: CMS/CSHPM Summer Meeting, 6 - 8 June, St. John’s, Newfoundland, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2009)
Combinatorics on words and some applications to problems in number theory.
In: Centre for the Mathematics of Symmetry and Computation, Groups and Combinatorics Seminar, University of Western Australia, 17 November, Perth, Western Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2009)
Crucial words for abelian powers.
In: Mathematics Colloquium, Mathematics Division, Science Institute, University of Iceland, 12 January, Reykjavik, Iceland.
Glen, A.ORCID: 0000-0002-9434-3412
(2009)
Palindromic properties of infinite sequences with applications
to Number Theory.
In: Seminar Series Department of Mathematics and Statistics, University of Winnipeg, 1 April, Winnipeg, Manitoba, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2009)
Palindromic properties of infinite sequences with applications to Number Theory.
In: AMS Spring Central Sectional Meeting, 27 - 29 March, Urbana, IL, USA.
Glen, A.ORCID: 0000-0002-9434-3412
(2009)
Palindromic properties of infinite sequences with applications to Number Theory.
In: ICE-TCS seminar, Reykjavik University, 20 March, Reykjavik, Iceland.
Glen, A.ORCID: 0000-0002-9434-3412
(2009)
Palindromic sequences in Number Theory.
In: Mathematics & Statistics Seminar series, School of Chemical & Mathematical Sciences, Murdoch University, 27 August, Perth, Western Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2008)
Markoff's property and Christoffel words.
In: Algorithms & Complexity Seminar Series, University of Waterloo, 21 January, Ontario, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2008)
More on rich words.
In: Combinatorics seminar series, Reykjavík University, 14 November, Reykjavík, Iceland.
Glen, A.ORCID: 0000-0002-9434-3412
(2008)
Palindromic richness.
In: ICE-TCS seminar, 26 September, Reykjavik University, Iceland.
Glen, A.ORCID: 0000-0002-9434-3412
(2008)
Palindromic richness.
In: Seminar Series Department of Mathematics and Statistics, University of Winnipeg, 25 July, Winnipeg, Manitoba, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2008)
Rich words.
In: LaCIM seminar series, 12 September, University of Québec, Montréal, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2007)
Characterizations of finite and infinite episturmian words via lexicographic orderings.
In: Algebraic Combinatorics Seminar , The Fields Institute for Research in Mathematical Sciences, 12 February, Toronto, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2007)
Christoffel words and Markoff's condition.
In: Millican Colloquium Series, Department of Mathematics, University of North Texas, 16 November, Texas, USA.
Glen, A.ORCID: 0000-0002-9434-3412
(2007)
Episturmian words: extremal properties and quasiperiodicity.
In: Algebra and Geometry Research Group Seminar, Matematiska Institutionen, Uppsala Universitet, 25 September, Uppsala, Sweden.
Glen, A.ORCID: 0000-0002-9434-3412
(2007)
Markoff's property, central words, and Christoffel words.
In: ISM Graduate Student Seminar, 17 October, Montreal, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2007)
Powers in a class of A-strict standard episturmian words.
In: LaCIM seminar for Masters students (INF9941), University of Quebec, 22 January, Montreal, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2007)
A few words about skew and episkew words.
In: Workshop in Recent Progress in Combinatorics on Words, 12 - 16 March, Montreal, Canada.
Glen, A.ORCID: 0000-0002-9434-3412, Jacques, J. and Pirillo, G.
(2006)
Characterizations of finite and infinite episturmian words via lexicographic orderings.
In: LaCIM seminar series, 8 December, University of Québec, Montréal, Canada.
Glen, A.ORCID: 0000-0002-9434-3412
(2006)
Characterizations of finite and infinite episturmian words via lexicographic orderings.
In: Number Theory Seminar, School of Mathematical Sciences, The University of Adelaide, 5 October, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2006)
Fine words over a finite alphabet.
In: Postgraduate Seminar series, School of Mathematical Sciences, The University of Adelaide, 15 June, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2006)
Fine words over a finite alphabet.
In: Number Theory Seminar, School of Mathematical Sciences, The University of Adelaide, 28 April, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2006)
Opportunities in Mathematics.
In: Forum for Level III Mathematics Students, School of Mathematical Sciences, The University of Adelaide, 24 May, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2005)
Powers in a class of A-strict standard episturmian words.
In: Number Theory Seminar, School of Mathematical Sciences, The University of Adelaide, 25 August, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2004)
Combinatorics on Sturmian words.
In: Major Review seminar, School of Mathematical Sciences, The University of Adelaide, 27 February, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2004)
Sturmian words, beta-shifts and transcendence.
In: Number Theory Seminar, School of Mathematical Sciences, The University of Adelaide, 2 September, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2004)
Transcendence of Sturmian or morphic continued fractions (continued).
In: Number Theory Seminar, School of Mathematical Sciences, The University of Adelaide, 29 April, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2004)
Transcendence of Sturmian or morphic continued fractions (paper study).
In: Number Theory Seminar, School of Mathematical Sciences, The University of Adelaide, 22 April, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2003)
Standard sequences and characteristic words (book study).
In: Number Theory Seminar, School of Mathematical Sciences, The University of Adelaide, 31 July, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2003)
Standard sequences and characteristic words (continued).
In: Number Theory Seminar, School of Mathematical Sciences, The University of Adelaide, 7 August, Adelaide, Australia.
Glen, A.ORCID: 0000-0002-9434-3412
(2002)
On the period length of pseudorandom number sequences.
In: Honours seminar, The University of Adelaide, 18 September, Adelaide, Australia.
Book Chapter
Glen, A.ORCID: 0000-0002-9434-3412, Halldórsson, B. and Kitaev, S.
(2009)
Crucial words for abelian powers.
In: Diekert, V. and Nowotka, D., (eds.)
Developments in Language Theory, Lecture Notes in Computer Science, Vol. 5583.
Springer, pp. 264-275.
Others
Glen, A.ORCID: 0000-0002-9434-3412
(2003)
Book review: Automatic sequences: theory, applications, generalizations.
The Gazette of the Australian Mathematical Society, 30
.
p. 264.