Chaire Jean-Morlet
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CIRM - Jean-Morlet Chair

Robert TICHY & Joël RIVAT

Diophantine Problems: Determinism, Randomness, Applications

Problèmes diophantiens: Déterminisme, Aléatoire, Applications

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2020 - semester 2
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Due to Covid-19, this workshop had to change format and was organized as a hybrid event
HYBRID EVENT
WORKSHOP (2641)

Discrepancy Theory and Applications - Part 2
Théorie de la discrépance et applications - 2e partie

4 - 5 February 2021

SCHEDULE & ABSTRACTS
PARTICIPANTS
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DESCRIPTION
The scope of the workshop covers
  • equidistribution
  • irregularities of distribution
  • discrepancies of special sequences
  • hyperuniformity and dynamical systems
  • metric discrepancy theory
  • multivariate numerical integration and tractability
  • Quasi Monte Carlo methods and applications in finance
SCIENTIFIC COMMITTEE
  • Jozsef Beck (Rutgers University)
  • William Chen (Emeritus, Macquarie University)
  • Gerhard Larcher (JKU Linz)
  • Andras Sarközy (Eötvös Loránd University Budapest)
  • Henryk Wozniakowski (Columbia University / University of Warsaw)
ORGANIZING COMMITTEE
  • Manfred Madritsch (Université de Lorraine)
  • Joël Rivat (Aix-Marseille Université)
  • Robert Tichy (TU Graz / Aix-Marseille Université)
THURSDAY 4 FEBRUARY 2021
LIVE TALKS AT CIRM LUMINY
10:15 CET - Manfred Madritsch (Université de Lorraine)
Normal and Non-Normal Numbers - (abstract)
11:15 CET - Robert Tichy (TU Graz / Aix-Marseille Univ.
​Metric Discrepancy Theory - ​(abstract)
PRE-RECORDED TALKS 
  • 13.30 CET - Florian Pausinger (University of Belfast)
    Applications of equidistribution theory in computational geometry​ (abstract)
    VIDEO link
  • 14:00 CET - Ujué Etayo (TU Graz)
    Discrepancy of points coming from Determinantal point processes (abstract)
    VIDEO link 
  • 14:30 CET - Bence Borda (TU Graz) 
    Equidistribution on compact groups (abstract)
    VIDEO link
15:15 - 15:45 CET - Discussion session
Speakers present online: Robert Tichy, Manfred Madritsch, Ujué Etayo
ONLINE TALKS SERIES 
Special Research Area (SFB) F55 on Quasi-Monte Carlo Methods: Theory and Applications
Further details, titles and abstracts available at: http://www.sfb-qmc.jku.at/sfb-activities/workshops
  • 16:00 - 16:45 CET - Michael Lacey (Georgia Tech)
    Discrete Improving Inequalities (abstract)
  • 17:00 - 17:45 CET - ​Michael Lacey (Georgia Tech)
    A Polynomial Roth Theorem for Corners in the Finite Field Setting (abstract)
FRIDAY 5 FEBRUARY 2021
LIVE-STREAMED TALKS FROM TU GRAZ & JOHANNES KEPLER UNIVERSITY LINZ
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The talk series is supported by the FWF Special Research Program (SFB) Quasi-Monte Carlo Methods: Theory and Applications and partly funded by the Austrian Science Fund FWF, Project No. J 4138-N32.
  • 09:00 - 09:30 CET - Peter Kritzer (RICAM & Austrian Academy of Sciences)
    The digit-by-digit construction of polynomial lattice rules - (abstract)

  • 09:40 - 10:10 CET - Friedrich Pillichshammer (Johannes Kepler University Linz)
    ​L2 star, extreme and periodic discrepancy - (abstract)
10:15 - 11:00 CET - DISCUSSION SESSION 1
Speakers present online: Robert Tichy, Bence Borda, Aicke Hinrichs, Peter Kritzer, Florian Pausinger, Friedrich Pillichshammer, William Chen, Manfred Madritsch.
  • 11:00 - 11:30 CET - Aicke Hinrichs (Johannes Kepler University Linz)
    Dispersion - a survey of recent results and applications - (abstract)

  • 11:40 - 12:10 CET - Roswitha Hofer (Johannes Kepler University Linz)
    One way of generalizing the van der Corput sequence as well as the (nα)-sequence and some nice encounters - (abstract)

  • 12:30 - BREAK
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15:00 - 15:45 CET - DISCUSSION SESSION 2
Speakers present online: Robert Tichy, Bence Borda, Michael Lacey, Dmitriy Bilyk, Roswitha Hofer, Manfred Madritsch.
​SPECIAL ONLINE TALKS SERIES 
Special Research Area (SFB) F55 on Quasi-Monte Carlo Methods: Theory and Applications
Further details, titles and abstracts available at: http://www.sfb-qmc.jku.at/sfb-activities/workshops

  • 16:00  CET - Ben Green (University of Oxford)
    ​Title: On the divisors of a typical integer (abstract)

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