# 2019-20 MATRIX Annals

The 2019-20 MATRIX Annals, the fourth book in the MATRIX Book Series, documents scientific activities at MATRIX in 2019 and January-February 2020. Pre-publication versions of the articles in the book are posted below, as they become available.

### Preface

## Guest Editors

#### Topology of Manifolds: Interactions Between High and Low Dimensions

Diarmuid Crowley, Stefan Friedl, Stephan Tillmann

#### 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 I. Abarzhi, Alexander Nepomnyashchy, Anthony J.Roberts, Joseph Klewicki

#### Structural Graph Theory Downunder

Anita Liebenau

#### Tropical Geometry and Mirror Symmetry

Mandy Cheung

#### Early Career Researchers Workshop on Geometric Analysis and PDEs

Paul Bryan

#### Harmonic Analysis and Dispersive PDEs: Problems and Progress

Kenji Nakanishi

## Refereed Articles

### Topology of Manifolds: Interactions Between High and Low Dimensions

Imre Bokor, Diarmuid Crowley, Stefan Friedl, Fabian Hebestreit, Daniel Kasproswki, Markus Land and Johnny Nicholson

Connected sum decompositions of high-dimensional manifolds

Anthony Conway

The Levine-Tristram signature: a survey

Jonathan A. Hillman

*PD _{4}*-complexes and 2-dimensional duality groups

Daniel Kasprowski, Peter Lambert-Cole, Markus Land, and Ana G. Lecuona

Topologically flat embedded 2-spheres in specific simply connected 4-manifolds

Malte Lackmann

The octonionic projective plane

Peter Lambert-Cole and Maggie Miller

Trisections of 5-Manifolds

Duncan McCoy

Null-homologous twisting and the algebraic genus

Linh Truong

A slicing obstruction from the 10=8+4 theorem

### Ergodic Theory, Diophantine Approximation and Related Topics

Mumtaz Hussain

A generalised multidimensional Jarník-Besicovitch theorem

### 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

Benjamin Hines, Yuriy Kuleshov and Guoqi Qian

Spatial modelling of linear regression coefficients for gauge measurements against satellite estimates

### Mathematics of Physiological Rhythms

Maia Angelova, Sergiy Shelyag

Delay-differential equations for glucose-insulin regulation

Ruben Fossion, Ana Leonor Rivera, Lesli Alvarez-Millán, Lorena García-Iglesias, Octavio Lecona, Adriana Robles-Cabrera, Bruno Estañol

A time-series approach to assess physiological and biomechanical regulatory mechanisms

Plamen Ch. Ivanov, Jilin W.J.L. Wang, Xiyun Zhang, and Bolun Chen

The new frontier of Network Physiology: Emerging physiologic states in health and disease from integrated organ network interactions

Krassimir Atanassov and Tania Pencheva

InterCriteria Analysis Approach as a Tool for Promising Decision Making in Physiological Rhythms

Joe Rowland Adams and Aneta Stefanovska

Modelling oscillating living systems: Cell energy metabolism as weighted networks of nonautonomous oscillators

Christopher R. Stephens

“Ome” sweet “ome”: From the Genome to the Conductome

### Conservation Laws, Interfaces and Mixing

Ashleigh J. Hutchinson

The extended Prandtl closure model applied to the two-dimensional turbulent classical far wake

Saurabh Joglekar and Xiaolin Li

Numerical Study of Center of Reaction Front for Reaction-Diffusion System *nA*+*mB* → *C* with Arbitrary Diffusivities

Ashfaq A. Khan, Yan Ding

Computational fluid dynamics modelling of a transient solids concentration in a lagoon

Alexander Y. Klimenko

Mixing, tunneling and the direction of time in the context of Reichenbach’s principles

Saurabh Joglekar and Xiaolin Li

Numerical Study of Crystal Growth in Reaction-Diffusion Systems using Front Tracking

A.J. Roberts

Rigorous modelling of nonlocal interactions determines a macroscale advection-diffusion PDE

Anna Samoilova and Alexander Nepomnyashchy

Controlling stability of longwave oscillatory Marangoni patterns

Mako Sato and Yasuhide Fukumoto

Influence of an oblique magnetic field on planar flame front instability

Keigo Wada and Yasuhide Fukumoto

Compressibility Effect on Markstein Number for a Flame Front in Long-Wavelength Approximation

Kurt Williams, Desmond L. Hill, Snezhana I. Abarzhi

Regular and Singular Behaviours and New Morphologies in the Rayleigh Taylor Instability

Cameron E. Wright and Snezhana I. Abarzhi

Effect of adiabatic index on Richtmyer-Meshkov flows induced by strong shocks

### Structural Graph Theory Downunder

Maria Chudnovsky and Paul Seymour

Subdivided Claws and the Clique-Stable Set Separation Property

Zdeněk Dvǒrák, Tony Huynh, Gwenaël Joret, Chun-Hung Liu, and David R. Wood

Notes on Graph Product Structure Theory

Tony Huynh, Bruce Reed, David R. Wood, and Liana Yepremyan

Notes on tree- and path-chromatic number

Xuding Zhu

Note on Hedetniemi’s conjecture and the Poljak-Rödl function

### Tropical Geometry and Mirror Symmetry

Jeff Hicks

Observations on disks with tropical Lagrangian boundary

Helge Ruddat and Ilia Zharkov

Compactifying torus fibrations over integral affine manifolds with singularities

Man-Wai Mandy Cheung and Renato Vianna

Algebraic and symplectic viewpoint on compactifications of two-dimensional cluster varieties of finite type

### Harmonic Analysis and Dispersive PDEs: Problems and Progress

Timothy Candy

A note on bilinear wave-Schrödinger interactions

Chunyan Huang

A note on the scattering for 3D quantum Zakharov system with non-radial data in *L*^{2}

## Other Contributed Articles

### Topology of Manifolds: Interactions Between High and Low Dimensions

Jonathan Bowden, Diarmuid Crowley, Jim Davis, Stefan Friedl, Carmen Rovi and Stephan Tillmann

Open Problems in the Topology of Manifolds

Stefan Friedl and Gerrit Herrmann

Graphical neighborhoods of spatial graphs

### 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

### Ergodic Theory, Diophantine Approximation and Related Topics

Michael Coons

A diffraction abstraction

### Early Career Researchers Workshop on Geometric Analysis and PDEs

Julian Scheuer

Extrinsic curvature flows and applications

Yuhan Wu

Short time existence for higher order curvature flows with and without boundary conditions

### Harmonic Analysis and Dispersive PDEs: Problems and Progress

Federico Cacciafesta and Luca Fanelli

Hankel transforms and weak dispersion

Nobu Kishimoto and Yoshio Tsutsumi

A priori bounds for the kinetic DNLS