Uniform Distribution of Sequences

This workshop is devoted to interactions between continued fraction algorithms (in dimension one and mostly higher) and arithmetic, automatic and uniformly distributed sequences.
Problems in this area inspired a lot of work in dynamical systems in general, and the techniques that were developed over the years found applications well beyond their original motivation.
Milestones in the theory were achieved by Austrian and Dutch mathematicians and collaborations between them: Hlawka-Koksma and Kuipers-Niederreiter.

Specific topics of the workshop include:

- Multidimensional Diophantine approximation and multidimensional continued fraction algorithms and their relations
to Diophantine approximation and flows on homogeneous spaces.

- Substitutive and S-adic systems, and recent developments in the direction of their spectral theory and spectrall cocycles.

- Möbius normality and recent development in the area of Sarnak's and Chowla's conjectures.

Keynote speakers:

Pierre Arnoux - Université Aix-Marseille
Valérie Berthé - Université Paris
Joanna Kułaga-Przymus - University of Toruń *
Slade Sanderson - University of  Utrecht
Robert Tichy - TU Graz

We gratefully acknowledge the support of FWF and of Elsevier.

April 22, 2025
09:30 — 10:00
Registration
10:00 — 10:15
Opening
11:00 — 11:30
Coffee/Tea
11:30 — 12:00
Veronica Becher (Universidad de Buenos Aires)
Normal numbers with digit dependencies
12:00 — 14:00
Lunch Break
14:45 — 15:15
Coffee/Tea
15:15 — 15:45
15:45 — 16:15
Harald Niederreiter (RICAM, Linz)
Uniform Distribution: A Dutch-Austrian Success Story
16:30 — 18:00
Reception at the Beaver Brewery
April 23, 2025
09:00 — 09:30
10:00 — 10:30
10:30 — 11:00
Coffee/Tea
11:00 — 11:30
11:30 — 12:00
Pierre Popoli (U of Liège)
Additive word complexity and Walnut
12:00 — 14:00
Lunch Break
14:45 — 15:15
Coffee/Tea
15:45 — 16:15
16:15 — 16:45
Bastian Espinoza (U of Liège)
Dynamics of dendric subshifts
April 24, 2025
09:00 — 09:30
10:30 — 11:00
Coffee/Tea
11:00 — 11:30
Olivier Carton (Paris Cité U)
Rauzy dimension and entrophy
11:30 — 12:00
Tom Schmidt (Oregon State U, Corvallis)
First expansive returns and cross sections
12:00 — 14:00
Lunch Break
14:00 — 14:45
14:45 — 15:15
Coffee/Tea
15:15 — 15:45
Lukas Spiegelhofer (Montanuniversität Leoben)
Thue--Morse along the sequence of cubes
18:00 — 22:00
Conference Dinner
April 25, 2025
09:30 — 10:00
10:00 — 10:30
10:30 — 11:00
Coffee/Tea
11:30 — 12:00
Shigeki Akiyama (U of Tsukuba)
Badly approximable numbers and Delone sets
12:00 — 14:00
Lunch Break
14:00 — 14:45
14:45 — 15:15
Coffee/Tea

Organizers

Name Affiliation
Henk Bruin University of Vienna
Robbert Fokkink Technical University Delft
Jörg Thuswaldner Montanuniversität Leoben

Attendees

Name Affiliation
Shigeki Akiyama Tsukuba University
Felipe Arbulú Jules Vernes University of Picardie
Pierre Arnoux University Aix-Marseille
Michael Baake Bielefeld University
Ayreena Bakhtawar Institute of Mathematics of the Polish Academy of Sciences
Veronica Becher Universidad de Buenos Aires
Valérie Berthé Paris Cité University
Christa Binder Technical University of Vienna
Wieb Bosma Radboud University
Olivier Carton Paris Cité University
Emilie Charlier Liège University
Karma Dajani Utrecht University
Henk Don Radboud University
Michael Drmota Technical University of Vienna
Bastian Espinoza Liège University
Peter Grabner Technical University of Graz
Hiroaki Ito Montanuniversität Leoben
Cor Kraaikamp Technical University Delft
Elzbieta (Ela) Krawczyk University of Vienna
Savinien Kreczman Liège University
Joanna Kułaga-Przymus Nicolaus Copernicus University
Sebastien Labbé University of Bordeaux
Niels Langeveld Montanuniversität Leoben
Benoit Loridant Montanuniversität Leoben
Olga Lukina Leiden University
Juan Marshall-Maldonado Nicolaus Copernicus University
Golafshan Mehdi Liège University
Nikolay Moshchevitin Technical University Vienna
Clemens Muellner TU Wien
Yasushi Nagai Shinshu University
Hitoshi Nakada Keio University
Harald Niederreiter Johann-Radon Institute
Pierre Popoli Liège University
Silvia Radinger University of Vienna
Antoine Renard Liège University
Michel Rigo University of Liege
Lucia Rossi TU Wien
Slade Sanderson Utrecht University
Klaus Schmidt University of Vienna
Tom Schmidt Oregon State University
Peter Schmitt University of Vienna
Lukas Spiegelhofer Montanuniversität Leoben
Wolfgang Steiner CNRS Paris
Manon Stipulanti Liège University
Paul Surer Universität für Bodenkultur Wien
Robert Tichy Technical University of Graz
Maria Clara Werneck Université Paris Cité
Reem Yassawi Queen Mary University of London
Agamemnon Zafeiropoulos Technische Universität Graz
Preview of Reem Yassawi - Tameness or otherwise of the Tribonacci shift
Reem Yassawi (QMU London): Tameness or otherwise of the Tribonacci shift
April 22, 2025 15:15 — 15:45
Preview of Sebastien Labbé - Metallic mean Wang tiles and their Rauzy fractals
Sebastien Labbé (U Bordeaux): Metallic mean Wang tiles and their Rauzy fractals
April 23, 2025 09:00 — 09:30
Preview of Slade Sanderson - Descendants of the mother of all continued fractions
Slade Sanderson (Utrecht U): Descendants of the mother of all continued fractions
April 23, 2025 14:00 — 14:45
Preview of Bastian Espinoza - Dynamics of dendric subshifts
Bastian Espinoza (U of Liège): Dynamics of dendric subshifts
April 23, 2025 16:15 — 16:45
Preview of Nikolay Moshchevitin - Dirichlet improvability in $L_p$-norms
Nikolay Moshchevitin (TU Vienna): Dirichlet improvability in $L_p$-norms
April 24, 2025 09:00 — 09:30
Preview of Michel Rigo - Automatic proofs in combinatorial game theory
Michel Rigo (U Liege): Automatic proofs in combinatorial game theory
April 24, 2025 09:30 — 10:00
Preview of Tom Schmidt - First expansive returns and cross sections
Tom Schmidt (Oregon State U, Corvallis): First expansive returns and cross sections
April 24, 2025 11:30 — 12:00
Preview of Valérie Berthé - Equidistribution modulo finite groups in shifts
Valérie Berthé (Paris Cité U): Equidistribution modulo finite groups in shifts
April 24, 2025 14:00 — 14:45
Preview of Yasushi Nagai - A Special Case of the Binary S-adic Pisot Conjecture
Yasushi Nagai (Shinshu U): A Special Case of the Binary S-adic Pisot Conjecture
April 25, 2025 10:00 — 10:30
Preview of Joanna Kułaga-Przymus - B-free sets and the existence of natural density
Joanna Kułaga-Przymus (NCU, Torun): B-free sets and the existence of natural density
April 25, 2025 14:00 — 14:45
At a glance
Type:
Workshop
When:
April 22, 2025 — April 25, 2025
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Henk Bruin (U of Vienna)
Robbert Fokkink (TU Delft)
Jörg Thuswaldner (Montanuniversität Leoben)