2023 MATRIX Annals

The 2023 MATRIX Annals, the sixth book in the MATRIX Book Series, documents scientific activities at MATRIX in 2023. Pre-publication versions of the articles in the book are posted below.

We expect that the 2023 MATRIX Annals will be indexed by zbmath and mathscinet.

Preface

MATRIX-MFO Tandem Workshop

Stochastic Reinforcement Processes and Graphs (Guest editor: Mark Holmes)

MATRIX-RIMS Tandem Workshop

Geometric Analysis in Harmonic Analysis and PDE (Guest editor: Chongwei Liang, Michael Cowling, and Ji Li)

MATRIX-IBS Workshop

Structural Graph Theory Downunder III (Guest editor: Liana Yepremyan)

MATRIX Research Programs

Thermodynamic Formalism for Random Dynamical Systems

Minimal surfaces and geometric flows: interaction between the local and the nonlocal worlds (Guest editor: Armin Schikorra)

Computational Mathematics for High-Dimensional Data in Statistical Learning (Guest editor: Josef Dick)

Dynamics, Foliations, and Geometry III (Guest editors: Andy Hammerlindl and Jessica Purcell)

Monte Carlo Algorithms in Statistical Mechanics (Guest editor: Manon Michel)

Algebraic Geometry at the interface between Mathematics and Physics

Spectrum and Symmetry for Group Actions in Differential Geometry II (Guest editors: Emma Carberry and Michael Eastwood

Hyperbolic PDEs and Nonlinear Evolution Problems (Guest editor: Volker Schlue)

Uniqueness and Discernment in Graph Polynomials (Guest editors: Kerri Morgan and Jo Ellis-Monaghan)

Extremal Problems in Graphs, Designs, and Geometries (Guest editor: Rajko Nenadov)

Delay differential equations and their applications (Guest editors: Anatoli Ivanov and Sergiy Shelyag)

Refereed Articles

MATRIX Program: Minimal surfaces and geometric flows: interaction between the local and the nonlocal worlds

Simon Blatt, Giovanni Giacomin, Armin Schikorra, Julian Scheuer
A fractional Willmore-type energy functional – subcritical observations
page 5–27, doi: 10.1007/978-3-031-76738-8_1

MATRIX Program: Computational Mathematics for High-Dimensional Data in Statistical Learning

Hugh Entwistle, Georgy Sofronov
An overview of approximate dynamic programming methods for optimal stopping problems
page 31–46, doi: 10.1007/978-3-031-76738-8_2

MATRIX Program: 2Dynamics, Foliations, and Geometry III

Pierre Dehornoy
The cat-bat map, the figure-eight knot, and the five orbifolds
page 49–70, doi: 10.1007/978-3-031-76738-8_3

MATRIX-IBS Workshop: Structural Graph Theory Downunder III

Robert Hickingbotham, Dong Yeap Kang, Sang-il Oum, Raphael Steiner, David R. Wood
Clustered colouring of odd-H-minor-free graphs
page 73–80, doi: 10.1007/978-3-031-76738-8_4

MATRIX Program: Monte Carlo Algorithms in Statistical Mechanics

Wolfhard Janke, Suman Majumder, Martin Marenz, Subhajit Paul
Thermodynamically Stable Knots in Semiflexible Polymers
page 83–97, doi: 10.1007/978-3-031-76738-8_5

M. F. Schmirler, C. E. Soteros
Optimizing knot probabilities for a lattice polygon model using simultaneous perturbation stochastic approximation
page 99–110, doi: 10.1007/978-3-031-76738-8_6

MATRIX Program: Spectrum and Symmetry for Group Actions in Differential Geometry II

D. V. Alekseevsky, V. Cortés
Homogeneous cones associated with Clifford modules
page 113–124, doi: 10.1007/978-3-031-76738-8_7

Robert L. Bryant
Hessianizability of surface metrics
page 125–134, doi: 10.1007/978-3-031-76738-8_8

Fran Burstall, Emma Carberry, Udo Hertrich-Jeromin, Franz Pedit
Isothermic surfaces and conservation laws
page 135–158, doi: 10.1007/978-3-031-76738-8_9

Zhiqi Chen, Yuri Nikolayevsky, Joseph A. Wolf, Shaoxiang Zhang
Geodesic orbit pseudo-Riemannian nilmanifolds
page 159-164, doi: 10.1007/978-3-031-76738-8_10

Federico Costanza, Thomas Leistner
Killing vector fields on semi-Riemannian product manifolds
page 165-173, doi: 10.1007/978-3-031-76738-8_11

John Rice
Derived categories via the long exact sequence
page 175-213, doi: 10.1007/978-3-031-76738-8_12

MATRIX Program: Hyperbolic PDEs and Nonlinear Evolution Problems

Louie Bernhardt, Volker Schlue, Dongxiao Yu
John’s blow up examples and scattering solutions for semi-linear wave equations
page 217-232, doi: 10.1007/978-3-031-76738-8_13

Allen Juntao Fang, Ethan Sussman
Two perspectives on gravitational redshift, with a simple example
page 233-253, doi: 10.1007/978-3-031-76738-8_14

Qiuye Jia
Propagation of singularities on Kerr(-de Sitter) spacetimes
page 255-270, doi: 10.1007/978-3-031-76738-8_15

MATRIX Program: Uniqueness and Discernment in Graph Polynomials

Sergei Chmutov
Partial duality for ribbon graphs
page 273-282, doi: 10.1007/978-3-031-76738-8_16

Fengming Dong, Alex Fink, Tony Li, Brendan McKay, Kerri Morgan, Gordon Royle, Lluís Vena, Meiqiao Zhang
Chromatically equivalent chordal graphs
page 283-287, doi: 10.1007/978-3-031-76738-8_17

Graham Farr, Dillon Mayhew, James Oxley
Dominic Welsh: his work and influence
page 289-311, doi: 10.1007/978-3-031-76738-8_18

Alex Fink
(Delta-)matroid polytopes and valuative invariants
page 313-326, doi: 10.1007/978-3-031-76738-8_19

Emeric Gioan
On counting orientations for graph homomorphisms and for dually embedded graphs using the Tutte polynomial of matroid perspectives
page 327-335, doi: 10.1007/978-3-031-76738-8_20

Johann A. Makowsky
Meta theorems for graph polynomials
page 337-359, doi: 10.1007/978-3-031-76738-8_21

Iain Moffatt
Constructing a Tutte polynomial for graphs embedded on surfaces
page 361-389, doi: 10.1007/978-3-031-76738-8_22

Steven Noble
A primer on delta-matroids and multimatroids
page 391-420, doi: 10.1007/978-3-031-76738-8_23