2019 MATRIX Annals

The 2019 MATRIX Annals, the fourth book in the MATRIX Book Series, documents scientific activities at MATRIX in 2019. Pre-publication versions of the articles in the book are posted below, as they become available. The expected publication date is late-2020.

Guest Editors

Topology of Manifolds: Interactions Between High and Low Dimensions

Stephan Tillmann

Australian-German Workshop on Differential Geometry in the Large

Rafael Herrera

Aperiodic Order meets Number Theory

Michael Baake and Uwe Grimm

Ergodic Theory, Diophantine Approximation and Related Topics

Mumtaz Hussain

Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases

Jennifer Flegg

International Workshop on Spatial Statistics

Pavel Krupskiy

Mathematics of Physiological Rhythms

Maia Angelova

Conservation Laws, Interfaces and Mixing

Snezhana Abarzhi

Structural Graph Theory Downunder

Anita Liebenau

Tropical Geometry and Mirror Symmetry

Mandy Cheung

Refereed Articles

Topology of Manifolds: Interactions Between High and Low Dimensions

Australian-German Workshop on Differential Geometry in the Large

Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases

Jason M. Whyte
Model structures and structural identifiability: What? Why? How?

International Workshop on Spatial Statistics

Mathematics of Physiological Rhythms

Conservation Laws, Interfaces and Mixing

Structural Graph Theory Downunder

Tropical Geometry and Mirror Symmetry

Other Contributed Articles

Topology of Manifolds: Interactions Between High and Low Dimensions

Australian-German Workshop on Differential Geometry in the Large

Aperiodic Order meets Number Theory

Michael Baake, Michael Coons, Uwe Grimm, John A.G. Roberts, Reem Yassawi
Aperiodic order meets number theory: Origin and structure of the field

Shigeki Akiyama
Delone sets on spirals

Valérie Berthé
Topological methods for symbolic discrepancy

Álvaro Bustos
Extended symmetry groups of multidimensional subshifts with hierarchical structure

María Isabel Cortez
Algebraic invariants for group actions on the Cantor set

David Damanik
Lyapunov exponents: recent applications of Fürstenberg’s theorem in spectral theory

Robbert Fokkink
Extended symmetries of Markov subgroups

Franz Gähler
Renormalisation for inflation tilings I: General theory

Jeffrey C. Lagarias
Problems in number theory related to aperiodic order

Jeong-Yup Lee
Pure point spectrum and regular model sets in substitution tilings on Rd

Mariusz Lemańczyk
Automatic sequences are orthogonal to aperiodic multiplicative functions

Manuel Joseph C. Loquias
Similarity isometries of shifted lattices and point packings

Neil Mañibo
Renormalisation for inflation tilings II: Connections to number theory

Robert V. Moody
The Penrose and the Taylor-Socolar tilings, and first steps to beyond

Tanja Schindler
Scaling properties of the Thue-Morse measure: A summary

Nicolae Strungaru
Weak model sets

Venta Terauds
Doubly sparse measures on locally compact Abelian groups

Franco Vivaldi
The mean-median map

Peter Zeiner
Similar sublattices and submodules

Ergodic Theory, Diophantine Approximation and Related Topics

Ergodic Theory, Diophantine Approximation and Related Topics

International Workshop on Spatial Statistics

Mathematics of Physiological Rhythms

Conservation Laws, Interfaces and Mixing

Structural Graph Theory Downunder

Tropical Geometry and Mirror Symmetry