Publications: Glen, Amy

2010

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.

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

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.

2009

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, 17 November.

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.

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.

2008

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) Directive words of episturmian words. In: 12th Mons Theoretical Computer Science Days (Journées Montoises d'Informatique Théorique), 27 - 30 August, Mons, Belgium.

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.

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., Lauve, A. and Saliola, F.V. (2008) A note on the Markoff condition and central words. Information Processing Letters, 105 (6). pp. 241-244.

2007

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

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

2006

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. (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.

2005

Glen, A. (2005) Powers in a class of A-strict standard episturmian words. In: 5th International Conference on Words, 13 - 17 September, Quebec, Canada.

2004

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.

2003

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