##### Workshop 3

#### Discrepancy

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.

##### Tutorial

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..."

Date: Friday, Nov. 23,

Time: TBA,

Location: RICAM, Room SP2 416-2.

##### Invited Speakers

- Christoph Aistleitner (TU Graz)
- William Chen (Macquarie University Sydney)
- Michael Gnewuch (University of Kiel)
- Takashi Goda (University of Tokyo)
- Sigrid Grepstad (NTNU Trondheim)
- Gerhard Larcher (JKU Linz)
- Aleksandar Nikolov (University of Toronto)
- Maxim Skriganov (V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences)
- Vladimir Temlyakov (University of South Carolina)
- Robert Tichy (TU Graz)
- Giancarlo Travaglini (Università degli Studi di Milano-Bicocca)

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