Name: Wolfgang Steiner E-mail: Office: LIAFA, 175 rue du Chevaleret, 75013 Paris, France - Room 6A05 Mail: LIAFA, Université Paris Diderot - Paris 7, Case 7014, 75205 Paris Cedex 13 Phone: +33 (0)1 44 27 28 44 Fax: +33 (0)1 44 27 68 49

Short Curriculum Vitae

• 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

• Similar dissection of sets (with S. Akiyama, Jun Luo, R. Okazaki and J. Thuswaldner), submitted. ps.gz pdf
• Beta-expansions, natural extensions and multiple tilings (with C. Kalle), submitted. ps.gz pdf
• Fractal tiles associated with shift radix systems (with V. Berthé, A. Siegel, P. Surer and J. Thuswaldner), submitted. ps.gz pdf
• Rational numbers with purely periodic beta-expansion (with B. Adamczewski, Ch. Frougny and A. Siegel), to appear in Bulletin of the London Mathematical Society. ps.gz pdf
• Regularities of the distribution of abstract van der Corput sequences, Uniform Distribution Theory 4(2) (2009), 81-100. ps.gz pdf
• Metrical theory for alpha-Rosen fractions (with K. Dajani and C. Kraaikamp), Journal of the European Mathematical Society 11(6) (2009), 1259-1283. ps.gz pdf
• 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

• 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.
• Beta-expansions of minimal weight, Workshop on Dynamical Aspects of Number Systems 2008, Rome, February 6, 2008.
• 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.