Number Theoretic Algorithms
and Related Topics
Program


September 27 - October 1, 2004

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supported by the Austrian Science Fund (FWF)

Monday, September 27
   
09:45-10:00 Opening
   
10:00-11:00 Character sums with application to pseudorandom numbers
  Harald NIEDERREITER
 
11:00-11:20 Break
   
11:20-11:40 On the nonlinear pseudorandom number generators of higher orders
  Alev TOPUZOGLU
11:45-12:05 Pseudorandom number generators based on elliptic curves
  Tanja LANGE
 
12:10-12:30 Presentation project Winterhof
  On the linear complexity profile of explicit inversive pseudorandom number generators
  Wilfried MEIDL
 
12:45 Lunch
   
14:30-14:50 Randomized Quasi-Monte Carlo simulation to estimate the distribution of the state of a transient Markov chain at each step
  Pierre L'ECUYER
14:55-15:15 Some remarks on F-discrepancy, numerical inversion and integration error
  Josef LEYDOLD
 
15:20-15:40 Break
   
15:40-16:00 An asymptotic Gilbert-Varshamov bound for tms-nets
  Jürgen BIERBRAUER
16:05-16:25 New families of $(t,m,s)$-nets related to BCH codes
  Yves EDEL
 
16:30-16:50 Break
   
16:50-17:10 On the star and the $L_2$ discrepancies of digital (0,1)-sequences in prime base
  Henri FAURE
 
17:15-18:00 Presentation project Schmid
  Two-dimensional point sets with low $L_{p}$ discrepency
  Peter KRITZER
MinT - A web database for querying optimal $(t,m,s)$-net parameters
  Rudolf SCHÜRER
 
19:00 Dinner  

Tuesday, September 28
   
09:00-10:00 Substitutions and multi-dimensional words
  Rob TIJDEMAN
 
10:00-10:20 Break
   
10:20-10:40 Towers of algebraic function fields
  Henning STICHTENOTH
10:45-11:05 Lucas sequences with rational roots
  Gary WALSH
 
11:10-11:30 Break
   
11:30-11:50 Signed digit expansions in quadratic number fields with applications in cryptography
  Clemens HEUBERGER
11:55-12:15 Ideal-theoretic properties of polynomial rings suggested by polynomial functions
  Sophie FRISCH
 
12:45 Lunch
   
14:30-15:30 On the diophantine equation $G_n(x) = G_m(y)$ with $Q(x,y) = 0$
  Attila PETHŐ
 
15:30-15:50 Break
   
15:50-16:10 Presentation project Kirschenhofer
  Waring's problem with sum of digits congruence restrictions
  Oliver PFEIFFER
 
16:15-16:35 Lower bounds on orders of points on elliptic curves
  Florian LUCA
16:40-17:00 TBA?
  Hans Peter SCHLICKEWEI
 
17:05-17:25 Break
   
17:25-19:00 Presentation project Tichy
  Applications of the Subspace Theorem
  Clemens FUCHS
Quasi Monte Carlo methods for unbounded integrands and its applications to financial mathematics
  Jürgen HARTINGER
Enumeration problems for graphs
  Stephan WAGNER
Relative Thue equations, Baker's method vs. hypergeometric method
  Volker ZIEGLER
 
19:30 Conference Dinner

Wednesday, September 29
   
09:00-10:00 Sums of digits of polynomial values
  Gerald TENENBAUM
 
10:00-10:20 Break
   
10:20-10:40 Sum of digits and exponential sums
  Joel RIVAT
10:45-11:05 Infinite automata and number theory
  Christian MAUDUIT
 
11:10-11:55 Presentation project Drmota
  The local discrepancy of generalized van der Corput sequences
  Wolfgang STEINER
Newman's phenomenon for generalized Thue-Morse sequences
  Thomas STOLL
 
12:10 Lunch
   
13:10-18:45 Excursion to Schafberg (short walk, transfer by ship, cogwheel railway to Schafberg (1782 m))
   
19:00 Dinner

Thursday, September 30
   
09:00-10:00 Generalized polynomials: from Weyl and van der Corput to dynamical systems on nilmanifolds
  Vitaly BERGELSON
 
10:00-10:20 Break
   
10:20-10:40 Tilings of the integers
  Andras BIRO
 
10:45-12:15 Presentation project Winkler
  Topological methods in Ramsey theory
  Mathias BEIGLBÖCK
On the fundamental group of the Sierpiński gasket
  Gerhard DORFER
Some remarks on the extent of Hartman-measurable functions
  Gabriel MARESCH
Complexity of Hartman sequences
  Christian STEINEDER
 
12:30 Lunch
   
14:30-14:50 Erdős measures and redundant digital expansion
  Peter GRABNER
14:55-15:15 On flows arising from digital functions
  Guy BARAT
15:20-15:40 The diagonal of Cantor
  Michel MENDÈS-FRANCE
 
15:45-16:05 Break
   
16:05-16:25 Transcendental continued fractions
  Yann BUGEAUD
16:30-16:50 On Diophantine approximations with bounded denominator
  Iskander ALIEV
 
16:55-18:25 Presentation project Larcher
  Higher rank Cuntz-Krieger algebras
  Bernhard BURGSTALLER
A Brownian bridge construction for non-Gaussian processes
  Gunther LEOBACHER
Multivariante integration in weighted Hilbert spaces based on Walsh functions
  Friedrich PILLICHSHAMMER
Two new kinds of digit system
  Klaus SCHEICHER
 
19:00 Dinner

Friday, October 1
   
09:00-10:00 Fractals and substitutive dynamical systems
  Valérie BERTHÉ
 
10:00-10:20 Break
   
10:20-10:40 Coverings associated with a substitution and arithmetic conditions for tilings
  Anne SIEGEL
10:45-11:05 Algebraic numbers and automorphisms of free groups
  Pierre ARNOUX
 
11:10-11:30 Break
   
11:30-11:50 Basic properties of shift radix systems
  Horst BRUNOTTE
11:55-12:15 Shift radix system, an intersection of symbolic dynamics and number systems
  Shigeki AKIYAMA
 
12:30 Lunch
   
14:30-14:50 Rational approximations to the powers of an algebraic number
  Pietro CORVAJA
14:55-15:15 Newton's approximants and continued fractions
  Andrej DUJELLA
15:20-15:40 A family of quartic Thue inequalities
  Borka JADRIJEVIČ
 
  Time for dinner and evening program
  will be announced later


Please send comments and corrections to Thomas Klausner.