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.
Last modified: January 11, 2012