Publications: Glen, Amy

Journal Article

Glen, A., Simpson, J. and Smyth, W.F. (2019) Palindromes in starlike trees. Australasian Journal of Combinatorics, 73 (1). pp. 242-246.

Glen, A., Simpson, J. and Smyth, W.F. (2017) Counting Lyndon factors. Electronic Journal of Combinatorics, 24 (3).

Glen, A. and Levé, F. (2015) Generalized trapezoidal words. Journal of Combinatorial Theory, Series A, 136 . pp. 96-125.

Glen, A. and Simpson, J. (2013) The total run length of a word. Theoretical Computer Science, 501 . pp. 41-48.

Glen, A., 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. (2010) Extremal properties of (epi)Sturmian sequences and distribution modulo 1. L’Enseignement Mathématique, 56 . pp. 365-401.

Avgustinovich, S., Glen, A., Halldórsson, B.V. and Kitaev, S. (2010) On shortest crucial words avoiding abelian powers. Discrete Applied Mathematics, 158 (6). pp. 605-607.

Glen, A., 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. (2009) Distribution modulo 1 and the lexicographic world. Annales des sciences mathématiques du Québec, 33 (2). pp. 125-143.

Glen, A. and Justin, J. (2009) Episturmian words: a survey. RAIRO - Theoretical Informatics and Applications, 43 (3). pp. 403-442.

Glen, A., 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. 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. and Zamboni, L.Q. (2009) A new characteristic property of rich words. Theoretical Computer Science, 410 (30-32). pp. 2860-2863.

Glen, A., 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., Levé, F. and Richomme, G. (2008) Quasiperiodic and Lyndon episturmian words. Theoretical Computer Science, 409 (3). pp. 578-600.

De Luca, A., Glen, A. and Zamboni, L. (2008) Rich, Sturmian, and trapezoidal words. Theoretical Computer Science, 407 (1-3). pp. 569-573.

Glen, A. (2008) A characterization of fine words over a finite alphabet. Theoretical Computer Science, 391 (1-2). pp. 51-60.

Glen, A., 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. 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. (2007) Powers in a class of A-strict standard episturmian words. Theoretical Computer Science, 380 (3). pp. 330-354.

Glen, A. (2006) Occurrences of palindromes in characteristic Sturmian words. Theoretical Computer Science, 352 (1-3). pp. 31-46.

Glen, A. (2006) On Sturmian and episturmian words, and related topics. Bulletin of the Australian Mathematical Society, 74 (01). pp. 155-160.

Glen, A. (2004) Conjugates of characteristic Sturmian words generated by morphisms. European Journal of Combinatorics, 25 (7). pp. 1025-1037.

Glen, A. and Scott, P. (2004) Euler and his contribution to Number Theory. The Australian Mathematics Teacher, 60 (10). pp. 2-5.

Conference Paper

Glen, A., 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., 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. 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. (2007) Order and quasiperiodicity in episturmian words. In: Sixth International Conference on Words, 17 - 21 September, Marseille, France

Glen, A. (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. (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. (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. (2014) Palindromically rich GT-words. In: 38th Australasian Conference on Combinatorial Mathematics & Combinatorial Computing (38ACCMCC), 1 - 5 December, Wellington, New Zealand.

Glen, A. (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. (2012) Combinatorics of Lyndon Words. In: Combinatorics, Representations, and Structure of Lie Type, 16 - 17 February, Melbourne, Australia.

Glen, A. (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. 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. (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. (2010) Finite & infinite words in Number Theory. In: School of Mathematical Sciences Colloquium, 12 February, The University of Adelaide.

Glen, A. (2010) On almost rich words. In: Mini-Workshop: Combinatorics on Words, Mathematisches Forschungsinstitut Oberwolfach, 22 - 28 August, Germany.

Glen, A. (2010) Rich, Sturmian & trapezoidal words. In: 54th Annual Meeting of the Australian Mathematical Society, 27 - 30 September, Brisbane, Australia.

Glen, A. (2009) Abelian repetitions and crucial words. In: CMS/CSHPM Summer Meeting, 6 - 8 June, St. John’s, Newfoundland, Canada.

Glen, A. (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. (2009) Crucial words for abelian powers. In: Mathematics Colloquium, Mathematics Division, Science Institute, University of Iceland, 12 January, Reykjavik, Iceland.

Glen, A. (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. (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. (2009) Palindromic properties of infinite sequences with applications to Number Theory. In: ICE-TCS seminar, Reykjavik University, 20 March, Reykjavik, Iceland.

Glen, A. (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. (2008) Markoff's property and Christoffel words. In: Algorithms & Complexity Seminar Series, University of Waterloo, 21 January, Ontario, Canada.

Glen, A. (2008) More on rich words. In: Combinatorics seminar series, Reykjavík University, 14 November, Reykjavík, Iceland.

Glen, A. (2008) Palindromic richness. In: ICE-TCS seminar, 26 September, Reykjavik University, Iceland.

Glen, A. (2008) Palindromic richness. In: Seminar Series Department of Mathematics and Statistics, University of Winnipeg, 25 July, Winnipeg, Manitoba, Canada.

Glen, A. (2008) Rich words. In: LaCIM seminar series, 12 September, University of Québec, Montréal, Canada.

Glen, A. (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. (2007) Christoffel words and Markoff's condition. In: Millican Colloquium Series, Department of Mathematics, University of North Texas, 16 November, Texas, USA.

Glen, A. (2007) Episturmian words: extremal properties and quasiperiodicity. In: Algebra and Geometry Research Group Seminar, Matematiska Institutionen, Uppsala Universitet, 25 September, Uppsala, Sweden.

Glen, A. (2007) Markoff's property, central words, and Christoffel words. In: ISM Graduate Student Seminar, 17 October, Montreal, Canada.

Glen, A. (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. (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., 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. (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. (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. (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. (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. (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. (2004) Combinatorics on Sturmian words. In: Major Review seminar, School of Mathematical Sciences, The University of Adelaide, 27 February, Adelaide, Australia.

Glen, A. (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. (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. (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. (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. (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. (2002) On the period length of pseudorandom number sequences. In: Honours seminar, The University of Adelaide, 18 September, Adelaide, Australia.

Book Chapter

Glen, A., 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. (2003) Book review: Automatic sequences: theory, applications, generalizations. The Gazette of the Australian Mathematical Society, 30 . p. 264.