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. The expected publication date is late-2020.

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
PD4-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+mBC 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 L2

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 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

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