Name: Wolfgang Steiner E-mail: Office: Macquarie University E6A 385 Mail: Department of Computing, Faculty of Science, Macquarie University, NSW 2109, Australia Phone: +61 (0)2 9850 9564 Fax: +61 (0)2 9850 9551

Short Curriculum Vitae

• Since 09/2011: Visiting academic at the Department of Computing of Macquarie University
• Since 10/2005: Chargé de recherche CNRS at the LIAFA (Laboratoire d'Informatique Algorithmique: Fondements et Applications, UMR 7089), Université Paris Diderot - Paris 7
• 05/2000 - 09/2005: Research assistant in the FWF project “Statistical Properties of Number Systems”
• 03/2003 - 01/2004: Assistant in the Department of Mathematics of the University of Vienna

• 03/2002: Ph.D. (Dr. techn.), TU Wien
• 05/2000: Master's degree (Dipl.-Ing.), TU Wien
• 05/2000: Ingénieur École Centrale Paris (within the double degree program TIME)

• 11/2006 - 05/2010: Coordinator of the ANR project “DyCoNum”
• 2008 - 2009: Participant in the PHC AMADEUS “Fractals et structures topologiques issues de la dynamique”
• 2007 - 2008: Participant in the PHC AMADEUS “Représentation non-standard des nombres : combinatoire, dynamique et automates finis”
• 2007 - 2008: Participant in a PHC SAKURA

Conferences and Workshops

• Digital expansions, dynamics and tilings, April 4-10, 2010, Aussois
• Numeration: Mathematics and Computer Science, March 23-27, 2009, CIRM, Marseille
• Journées Numération 2008, May 26-30, 2008, ČVUT, Prague
• Journées SDA2 2007, October 4-5, 2007, LIAFA, Paris
• Dynamical aspects of numeration, December 4-6, 2006, LIAFA, Paris

Research Interests

• Beta expansions, continued fractions and other numeration systems
• Rauzy fractals and tilings
• Combinatorics on words

Publications

• Digital expansions with negative real bases, submitted. ps.gz pdf
• Natural extensions and entropy of alpha-continued fractions (with C. Kraaikamp and T. Schmidt), submitted. ps.gz pdf
• Rational self-affine tiles (with J. Thuswaldner), submitted.
• Dynamical properties of the negative beta transformation (with L. Liao), to appear in Ergodic Theory and Dynamical Systems. DOI ps.gz pdf
• Beta-expansions, natural extensions and multiple tilings associated with Pisot units (with C. Kalle), to appear in the Transactions of the American Mathematical Society. DOI ps.gz pdf
• On the structure of (-beta)-integers, to appear in RAIRO - Theoretical Informatics and Applications. DOI ps.gz pdf
• On the Delone property of (-beta)-integers, in Proceedings WORDS 2011, EPTCS 63 (2011), 247-256. DOI ps.gz pdf
• Redundancy of minimal weight expansions in Pisot bases (with P. Grabner), Theoretical Computer Science 412 (45) (2011), 6303-6315. DOI ps.gz pdf
• Similar dissection of sets (with S. Akiyama, Jun Luo, R. Okazaki, and J. Thuswaldner), Geometriae Dedicata 150(1) (2011), 233-247. DOI ps.gz pdf MR
• Fractal tiles associated with shift radix systems (with V. Berthé, A. Siegel, P. Surer, and J. Thuswaldner), Advances in Mathematics 226(1) (2011), 139-175. DOI ps.gz pdf MR
• Rational numbers with purely periodic beta-expansion (with B. Adamczewski, Ch. Frougny, and A. Siegel), Bulletin of the London Mathematical Society 42(3) (2010), 538-552. DOI ps.gz pdf MR
• Regularities of the distribution of abstract van der Corput sequences, Uniform Distribution Theory 4(2) (2009), 81-100. ps.gz pdf MR
• Metrical theory for alpha-Rosen fractions (with K. Dajani and C. Kraaikamp), Journal of the European Mathematical Society 11(6) (2009), 1259-1283. DOI ps.gz pdf MR
• Minimal weight expansions in Pisot bases (with Ch. Frougny), Journal of Mathematical Cryptology 2(4) (2008), 365-392. DOI ps.gz pdf MR
• Sequences with constant number of return words (with L. Balková and E. Pelantová), Monatshefte für Mathematik 155(3-4) (2008), 251-263. DOI ps.gz pdf MR
• Periodicity of certain piecewise affine planar maps (with S. Akiyama, H. Brunotte, and A. Pethő), Tsukuba Journal of Mathematics 32 (2008), 197-251. ps.gz pdf MR
• Abstract numeration systems on bounded languages and multiplication by a constant (with E. Charlier and M. Rigo), INTEGERS: The Electronic Journal of Combinatorial Number Theory 8 (2008), A35, 19 pages. ps.gz pdf MR
• Regularities of the distribution of beta-adic van der Corput sequences, Monatshefte für Mathematik 149(1) (2006), 67-81. DOI ps.gz pdf MR
• Remarks on a conjecture on certain integer sequences (with S. Akiyama, H. Brunotte, and A. Pethő), Periodica Mathematica Hungarica 52(1) (2006), 1-17. DOI ps.gz pdf MR
• Abstract beta-expansions and ultimately periodic representations (with M. Rigo), Journal de Théorie des Nombres de Bordeaux 17(1) (2005), 283-299. ps.gz pdf MR
• The joint distribution of greedy and lazy Fibonacci expansions, The Fibonacci Quarterly 43.1 (2005), 60-69. ps.gz pdf MR
• A certain finiteness property of Pisot number systems (with S. Akiyama and Rao Hui), Journal of Number Theory 107(1) (2004), 135-160. DOI ps.gz pdf MR
• The distribution of m-ary search trees generated by van der Corput sequences, Discrete Mathematics and Theoretical Computer Science 6 (2004), 409-424. ps.gz pdf MR
• Generalized de Bruijn digraphs and the distribution of patterns in alpha-expansions, Discrete Mathematics 263 (2003), 247-268. DOI ps.gz pdf MR
• On the joint distribution of q-additive functions on polynomial sequences, Theory of Stochastic Processes 8(24) (2002), 336-357. ps.gz pdf MR
• Parry expansions of polynomial sequences, INTEGERS: The Electronic Journal of Combinatorial Number Theory 2 (2002), A14, 28 pages. ps.gz pdf MR
• The Zeckendorf expansion of polynomial sequences (with M. Drmota), Journal de Théorie des Nombres de Bordeaux 14(2) (2002), 439-475. ps.gz pdf MR

• The distribution of digital expansions on polynomial sequences, Dissertation, TU Wien, 2002. ps.gz pdf
• Digital expansions and the distribution of related functions, Diplomarbeit, TU Wien, 2000. ps.gz pdf

Slides of Talks

• Minimal weight expansions in Pisot numeration systems, Seminar of the Centre for Advanced Computing - Algorithms and Cryptography, Macquarie University, Sydney, October 28, 2011.
• Extensions naturelles des bêta-transformations généralisées et pavages (slides in English), Séminaire de Probabilités et Théorie Ergodique, Amiens, January 19, 2010.
• Écritures de nombres en base réelle, fractals et pavages (slides in English), RAIM'09 : 3es Rencontres Arithmétique de l'Informatique Mathématique, Lyon, October 26, 2009.
• Discrepancy of substitutive van der Corput sequences, International Conference on Uniform Distribution, Marseille, January 25, 2008.
• Periodicity of certain integer sequences, Ecole d'Eté de Calcul Formel et Théorie des Nombres, Monastir, August 31, 2007.