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.
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+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 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