Aperiodic Order Meets Number Theory

David Wood

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  •  25 Feb 2019 - 1 Mar 2019
     8:00 am - 5:00 pm

Organisers: Michael Baake (Bielefeld University, Germany), Michael Coons (University of Newcastle, Australia), Uwe Grimm (Open University, Milton Keynes, UK), John A. G. Roberts (UNSW, Sydney, Australia), Reem Yassawi (Univ. Claude Bernard Lyon 1, Villeurbanne, France,)

Program Description: This workshop intends to bring together researchers from the theory of aperiodic order (which in itself is an interdisciplinary research theme, covering aspects of discrete geometry, dynamical systems, ergodic theory and harmonic analysis, to name but a few) and from number theory.

Already from the very beginnings of research on aperiodic order, intriguing links to number theory were observed, and these have become increasingly apparent in recent years. We feel that there is unexplored potential in these connections, which can be tapped into by bringing together experts from the two fields.

Over the past decade, there has been a tremendous development in various directions, including spectra and transport theory of Schrödinger operators, reversing symmetry groups in dynamical systems and ergodic theory, or topological invariants in symbolic and algebraic dynamics. Additionally, the links between number theory, dynamical systems, and theoretical computer science are strengthening and the lines between them are blurring.

Program Details and Materials:
Below is the draft of Program Structure. Please click to enlarge.
Note: actual times may differ slightly and things may change as the workshop approaches

Talk titles:
Venta Terauds: Doubly sparse measures on locally compact Abelian groups
Tanja Schindler: Multifractal analysis of the Thue–Morse measure
Franco Vivaldi:  The mean-median map
Franz Gaehler:  Renormalisation for inflation tilings I: general theory
Neil Manibo: Renormalisation for inflation tilings II:  connections with number theory
Mariusz Lemanczyk: Automatic sequences are orthogonal to aperiodic multiplicative functions
Nicolae Strungaru: Weak model sets
Shigeki Akiyama: Delone sets on spirals
Jeong-Yup Lee: Pure point spectrum and regular model sets on d-dimensional substitution tilings
Maria-Isabel Cortez: Some invariants of minimal group actions on the Cantor set
David Damanik: Lyapunov exponents: recent applications of F”urstenberg’s theorem in spectral theory
Manuel Loquias: Similarity Isometries of Shifted Lattices and Point Packings
Peter Zeiner: Similar Sublattices and Submodules
Valerie Berthe: Topological methods for symbolic discrepancy
Jeff Lagarias: Number-theoretic problems related to aperiodic order
Alvaro Bustos: Extended symmetries of multidimensional subshifts with hierarchical structure
Robert Fokkink: Extended symmetries of algebraic subshifts
Robert Moody: The Penrose/Taylor hexagonal tilings and their algebraic side


  • Deadline: 16 December 2018
  • Registration is by invitation only

Participant List:
Michael Baake (Bielefeld University)
Michael Coons (University of Newcastle)
Uwe Grimm (The Open University, Milton Keynes, UK)
John A. G. Roberts (UNSW, Sydney, Australia)
Shigeki Akiyama (Institute of Mathematics, University of Tsukuba)
Valerié Berthé (CNRS, Université Paris Diderot, Paris, France)
Yann Bugeaud (Université de Strasbourg, Strasbourg, France)
María-Isabel Cortez (Universidad de Santiago de Chile)
David Damanik (Rice University, Houston, USA)
Robbert Fokkink (TU Delft, Delft, The Netherlands)
Franz Gähler (Bielefeld University, Bielefeld, Germany)
Amy Glen (Murdoch University, Perth, Australia)
Mumtaz Hussain (La Trobe University, Bendigo, Australia)
Jeffrey C. Lagarias (University of Michigan, Ann Arbor, USA)
Jeong-Yup Lee (Catholic Kwandong University)
Mariusz Lemańczyk (Nicolaus Copernicus University, Toruń, Poland)
Neil Mañibo (Universitaet Bielefeld, Bielefeld, Germany)
Robert V. Moody (University of Victoria, Victoria, Canada)
Nicolae Strungaru (MacEwan University, Edmonton, Canada)
Venta Terauds (University of Tasmania, Hobart, Australia)
Franco Vivaldi (Queen Mary University of London, UK)
Manuel Loquias (University of the Philippines Diliman)
Dong-il Lee (Seoul Women’s University)
Bernd Sing (University of the West Indies)
Peter Zeiner (Xiamen University Malaysia)
Karma Dajani (TA Utrecht)
Álvaro Bustos (Universidad de Chile)
Tanja Schindler (Australian National University)
Michael Mampusti (University of Wollongong)


MATRIX Wine and Cheese Afternoon 26 February 2019
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.