# 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 *R ^{d}*

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