Papers

Preprint versions of most of my papers are also available on arXiv and the Murdoch Research Repository. Also see my Google Scholar Profile.

REFEREED JOURNAL PAPERS

  • More properties of the Fibonacci word on an infinite alphabet (with Jamie Simpson and W.F. Smyth), to appear in Theoretical Computer Science [preprint] [arXiv] [doi]
  • Palindromes in starlike trees (with Jamie Simpson and W.F. Smyth), Australasian Journal of Combinatorics, 73(1) (2019) 242–246 [preprint] [arXiv] [AJC]
  • Counting Lyndon factors (with Jamie Simpson and W.F. Smyth), The Electronic Journal of Combinatorics 24(3) (2017) #P3.28 [preprint] [arXiv] [E-JC]
  • Generalized trapezoidal words (with Florence Levé), Journal of Combinatorial Theory, Series A 136 (2015) 96-125. [preprint] [arXiv] [doi]
  • The total run length of a word (with Jamie Simpson), Theoretical Computer Science 501 (2013) 41-48. [preprint] [arXiv] [doi]
  • Extremal properties of (epi)Sturmian sequences & distribution modulo 1 (with Jean-Paul Allouche), L’Enseignement Mathématique 56 (2010), 365-401. [preprint] [arXiv]
  • On shortest crucial words avoiding abelian powers (with Sergey Avgustinovich, Bjarni V. Halldórsson, Sergey Kitaev), Discrete Applied Mathematics 158 (2010), 605-607. [preprint] [arXiv] [doi]
  • Crucial abelian k-power-free words (with Bjarni V. Halldórsson, Sergey Kitaev), Discrete Mathematics and Theoretical Computer Science, 12 (2010), 83-96.  [preprint] [arXiv] [journal]
  • Distribution modulo 1 and the lexicographic world (with Jean-Paul Allouche), Annales des sciences mathématiques du Québec 33 (2009), 125-143. [preprint] [arXiv] [journal]
  • Episturmian words: a survey (with Jacques Justin), RAIRO – Theoretical Informatics and Applications 43 (2009), 402-433. [preprint] [arXiv] [doi]
  • A new characteristic property of rich words – extended version (with Michelangelo Bucci, Alessandro De Luca, Luca Q. Zamboni), Theoretical Computer Science 410 (2009), 2860-2863. [preprint] [arXiv] [doi]
  • A connection between palindromic and factor complexity using return words (with Michelangelo Bucci, Alessandro De Luca, Luca Q. Zamboni), Advances In Applied Mathematics 42 (2009), 60-74. [preprint] [arXiv] [doi]
  • Palindromic richness (with Jacques Justin, Steve Widmer, Luca Q. Zamboni), European Journal of Combinatorics 30 (2009), 510-531. [preprint] [arXiv] [doi]
  • Directive words of episturmian words: equivalences and normalization (with Florence Levé, Gwénaël Richomme), RAIRO – Theoretical Informatics and Applications 43 (2009), 299-319. [preprint] [arXiv] [doi]
  • Quasiperiodic and Lyndon episturmian words (with Florence Levé, Gwénaël Richomme), Theoretical Computer Science 409 (2008), 578-600. [preprint] [arXiv] [doi]
  • Rich, Sturmian, and Trapezoidal words (with Aldo de Luca, Luca Q. Zamboni), Theoretical Computer Science 407 (2008), 569-573. [preprint] [arXiv] [doi]
  • A note on the Markoff condition and central words (with Aaron Lauve, Franco V. Saliola), Information Processing Letters 105 (2008), 241-244. [preprint] [arXiv] [doi]
  • Characterizations of finite and infinite episturmian words via lexicographic orderings (with Jacques Justin, Giuseppe Pirillo), European Journal of Combinatorics 29 (2008), 45-58. [preprint] [arXiv] [doi]
  • A characterization of fine words over a finite alphabet, Theoretical Computer Science 391 (2008), 51-60. Files: [preprint] [arXiv] [doi]
  • On the critical exponent of generalized Thue-Morse sequences (with Alexandre Blondin-Massé, Srecko Brlek, Sébastien Labbé), Discrete Mathematics & Theoretical Computer Science 9 (2007), 293-304. Files: [preprint] [arXiv] [journal]
  • Powers in a class of A-strict standard episturmian words, Theoretical Computer Science 380 (2007), 330-354. [preprint] [arXiv] [doi]
  • Occurrences of palindromes in characteristic Sturmian words, Theoretical Computer Science 352 (2006), 31-46. [preprint] [arXiv] [doi]
  • Conjugates of characteristic Sturmian words generated by morphisms, European Journal of Combinatorics 25 (2004), 1025-1037. [preprint] [arXiv] [doi]
  • Euler and his contribution to Number Theory (with Paul Scott), Australian Mathematics Teacher 60 (2004), 2-5. [preprint]

BOOK CHAPTERS

  • Crucial words for abelian powers (with Bjarni V. Halldórsson, Sergey Kitaev), Lecture Notes in Computer Science, vol. 5583, Springer-Verlag, Berlin, 2009, pp. 264-275. [arXiv] [doi]

CONFERENCE PAPERS

OTHER RESEARCH PAPERS

  • On Sturmian and episturmian words, and related topics (PhD thesis excerpt), Bulletin of the Australian Mathematical Society 74 (2006), 155-160. [preprint]
  • On Sturmian and episturmian words, and related topics, PhD thesis, The University of Adelaide, Australia, April 2006, 191 pages.
  • Transcendence of certain k-ary continued fraction expansions [preprint]
  • Book Review of “Automatic Sequences: Theory, Applications, Generalizations”, by J.-P. Allouche and J. Shallit (2003), The Gazette of the Australian Mathematical Society, September issue. [View it here]
  • On the period length of pseudorandom number sequences, Honours thesis, The University of Adelaide, Australia, November 2002, 100 pages.

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