Special Semester

Multivariate Algorithms and their Foundations in Number Theory

Linz, October 15-December 21, 2018

November 26-30, 2018

Organizers:
Dmitriy Bilyk,
Josef Dick,
Friedrich Pillichshammer

Discrepancy theory deals with point distribution in compact spaces, measuring the discrepancy between empirical distribution and target distribution. Most prominent are the star-discrepancy problem, asking for the optimal rate of convergence of the supremum of the discrepancy function, and the inverse of the star-discrepancy problem, asking for explicit constructions of point sets whose discrepancy depends at most polynomially on the dimension. The first problem is related to quasi-Monte Carlo integration, whereas the second problem seems more closely related to pseudo-random number generators. Point distributions on the unit sphere and point distributions with respect to non-uniform target measures are also of great interest.

- Schedule for workshop 3 (PDF).
- Book of Abstracts (PDF)

- Christoph Aistleitner (TU Graz)
- Bence Borda (A. Renyi Institute of Mathematics, Budapest), Slides (PDF, 394KB)
- William Chen (Macquarie University Sydney)
- Ujue Etayo (Universidad de Cantabria)
- Damir Ferizović (TU Graz), Slides (PDF, 396KB)
- Michael Gnewuch (University of Kiel)
- Takashi Goda (University of Tokyo), Slides (PDF, 246KB)
- Peter Grabner (TU Graz)
- Sigrid Grepstad (NTNU Trondheim)
- Aicke Hinrichs (JKU Linz)
- Lisa Kaltenböck (JKU Linz)
- Ralph Kritzinger (JKU Linz)
- Gerhard Larcher (JKU Linz)
- Ryan Matzke (University of Minnesota), Slides (PDF, 535KB)
- Mario Neumüller (JKU Linz)
- Aleksandar Nikolov (University of Toronto)
- Maxim Skriganov (V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences)
- Tetiana Stepaniuk (TU Graz)
- Kosuke Suzuki (Hiroshima University)
- Robert Tichy (TU Graz)
- Giancarlo Travaglini (Università degli Studi di Milano-Bicocca)
- Mario Ullrich (University of Jena)
- Alex Vlasiuk (Florida State University), Slides (PDF, 4MB)
- Jan Vybiral (Czech Technical University)
- Christian Weiss (Ruhr West University of Applied Sciences)
- Marcin Wnuk (Kiel University)
- Agamemnon Zafeiropoulos (TU Graz)

Group photo: SpecSem_WS3.jpg

A tutorial giving an introduction to some of the main topics of the workshop will be given by Dmitriy Bilyk:

"Uniform Distribution and Discrepancy Theory: At the crossroads of analysis, approximation, discrete geometry, number theory, probability, and more..."

Slides (PDF, 2.3MB)

Date: Friday, Nov. 23,

Time: 13:00,

Location: RICAM, Room SP2 416-2.

Johann Radon Institute for Computational and Applied Mathematics (RICAM)

Austrian Academy of Sciences

Austrian Academy of Sciences

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