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.

The 2019–20 MATRIX Annals is indexed by zbmath and mathscinet.


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
pages 5-30, doi: 10.1007/978-3-030-62497-2_1

Anthony Conway
The Levine-Tristram signature: a survey
Pages 31-56, doi: 10.1007/978-3-030-62497-2_2

Jonathan A. Hillman
PD4-complexes and 2-dimensional duality groups
Pages 57-109, doi: 10.1007/978-3-030-62497-2_3

Daniel Kasprowski, Peter Lambert-Cole, Markus Land, and Ana G. Lecuona
Topologically flat embedded 2-spheres in specific simply connected 4-manifolds
Pages 111-116, doi: 10.1007/978-3-030-62497-2_4

Peter Lambert-Cole and Maggie Miller
Trisections of 5-Manifolds
Pages 117-134, doi: 10.1007/978-3-030-62497-2_5

Malte Lackmann
The octonionic projective plane
Pages 135-145, doi: 10.1007/978-3-030-62497-2_6

Duncan McCoy
Null-homologous twisting and the algebraic genus
Pages 147-165, doi: 10.1007/978-3-030-62497-2_7

Linh Truong
A slicing obstruction from the 10=8+4 theorem
Pages 167-172, doi: 10.1007/978-3-030-62497-2_8

Ergodic Theory, Diophantine Approximation and Related Topics

Mumtaz Hussain
A generalised multidimensional Jarník-Besicovitch theorem
Pages 175-182, doi: 10.1007/978-3-030-62497-2_9

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

Jason M. Whyte
Model structures and structural identifiability: What? Why? How?
Pages 185-213, doi: 10.1007/978-3-030-62497-2_10

International Workshop on Spatial Statistics

Benjamin Hines, Yuriy Kuleshov and Guoqi Qian
Spatial modelling of linear regression coefficients for gauge measurements against satellite estimates
Pages 217-234, doi: 10.1007/978-3-030-62497-2_11

Mathematics of Physiological Rhythms

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
Pages 237-254, doi: 10.1007/978-3-030-62497-2_12

Joe Rowland Adams and Aneta Stefanovska
Modelling oscillating living systems: Cell energy metabolism as weighted networks of nonautonomous oscillators
Pages 255-264, doi: 10.1007/978-3-030-62497-2_13

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
Pages 265-277, doi: 10.1007/978-3-030-62497-2_14

Krassimir Atanassov and Tania Pencheva
InterCriteria Analysis Approach as a Tool for Promising Decision Making in Physiological Rhythms
Pages 279-285, doi: 10.1007/978-3-030-62497-2_15

Christopher R. Stephens
“Ome” sweet “ome”: From the Genome to the Conductome
Pages 287-297, doi: 10.1007/978-3-030-62497-2_16

Maia Angelova, Sergiy Shelyag
Delay-differential equations for glucose-insulin regulation 
Pages 299-306, doi: 10.1007/978-3-030-62497-2_17

Conservation Laws, Interfaces and Mixing

Cameron E. Wright and Snezhana I. Abarzhi
Effect of adiabatic index on Richtmyer-Meshkov flows induced by strong shocks
Pages 309-328, doi: 10.1007/978-3-030-62497-2_18

Keigo Wada and Yasuhide Fukumoto
Compressibility Effect on Markstein Number for a Flame Front in Long-Wavelength Approximation
Pages 329-350, doi: 10.1007/978-3-030-62497-2_19

Ashfaq A. Khan, Yan Ding
Computational fluid dynamics modelling of a transient solids concentration in a lagoon
Pages 351-358, doi: 10.1007/978-3-030-62497-2_20

Kurt Williams, Desmond L. Hill, Snezhana I. Abarzhi
Regular and Singular Behaviours and New Morphologies in the Rayleigh Taylor Instability
Pages 359-373, doi: 10.1007/978-3-030-62497-2_21

Ashleigh J. Hutchinson
The extended Prandtl closure model applied to the two-dimensional turbulent classical far wake
Pages 375-385, doi: 10.1007/978-3-030-62497-2_22

Alexander Y. Klimenko
Mixing, tunneling and the direction of time in the context of Reichenbach’s principles
Pages 387-409, doi: 10.1007/978-3-030-62497-2_23

Anna Samoilova and Alexander Nepomnyashchy
Controlling stability of longwave oscillatory Marangoni patterns
Pages 411-421, doi: 10.1007/978-3-030-62497-2_24

A.J. Roberts
Rigorous modelling of nonlocal interactions determines a macroscale advection-diffusion PDE
Pages 423-437, doi: 10.1007/978-3-030-62497-2_25

Mako Sato and Yasuhide Fukumoto
Influence of an oblique magnetic field on planar flame front instability
Pages 439-459, doi: 10.1007/978-3-030-62497-2_26

Saurabh Joglekar and Xiaolin Li
Numerical Study of Crystal Growth in Reaction-Diffusion Systems using Front Tracking
Pages 461-471, doi: 10.1007/978-3-030-62497-2_27

Saurabh Joglekar and Xiaolin Li
Numerical Study of Center of Reaction Front for Reaction-Diffusion System nA+mBC with Arbitrary Diffusivities
Pages 473-479, doi: 10.1007/978-3-030-62497-2_28

Structural Graph Theory Downunder

Maria Chudnovsky and Paul Seymour
Subdivided Claws and the Clique-Stable Set Separation Property
Pages 483-487, doi: 10.1007/978-3-030-62497-2_29

Tony Huynh, Bruce Reed, David R. Wood, and Liana Yepremyan
Notes on tree- and path-chromatic number
Pages 489-498, doi: 10.1007/978-3-030-62497-2_30

Xuding Zhu
Note on Hedetniemi’s conjecture and the Poljak-Rödl function
Pages 499-511, doi: 10.1007/978-3-030-62497-2_31

Zdeněk Dvǒrák, Tony Huynh, Gwenaël Joret, Chun-Hung Liu, and David R. Wood
Notes on Graph Product Structure Theory
Pages 513-533, doi: 10.1007/978-3-030-62497-2_32

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