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

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

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

MATRIX Program: 2Dynamics, Foliations, and Geometry III

Pierre Dehornoy
The cat-bat map, the figure-eight knot, and the five orbifolds

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

MATRIX Program: Monte Carlo Algorithms in Statistical Mechanics

Wolfhard Janke, Suman Majumder, Martin Marenz, Subhajit Paul
Thermodynamically Stable Knots in Semiflexible Polymers

M. F. Schmirler, C. E. Soteros
Optimizing knot probabilities for a lattice polygon model using simultaneous perturbation stochastic approximation

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

D. V. Alekseevsky, V. Cortés
Homogeneous cones associated with Clifford modules

Robert L. Bryant
Hessianizability of surface metrics

Fran Burstall, Emma Carberry, Udo Hertrich-Jeromin, Franz Pedit
Isothermic surfaces and conservation laws

Zhiqi Chen, Yuri Nikolayevsky, Joseph A. Wolf, Shaoxiang Zhang
Geodesic orbit pseudo-Riemannian nilmanifolds

Federico Costanza, Thomas Leistner
Killing vector fields on semi-Riemannian product manifolds

John Rice
Derived categories via the long exact sequence

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

Allen Juntao Fang, Ethan Sussman
Two perspectives on gravitational redshift, with a simple example

Qiuye Jia
Propagation of singularities on Kerr(-de Sitter) spacetimes

MATRIX Program: Uniqueness and Discernment in Graph Polynomials

Sergei Chmutov
Partial duality for ribbon graphs

Fengming Dong, Alex Fink, Tony Li, Brendan McKay, Kerri Morgan, Gordon Royle, Lluís Vena, Meiqiao Zhang
Chromatically equivalent chordal graphs

Graham Farr, Dillon Mayhew, James Oxley
Dominic Welsh: his work and influence

Alex Fink
(Delta-)matroid polytopes and valuative invariants

Emeric Gioan
On counting orientations for graph homomorphisms and for dually embedded graphs using the Tutte polynomial of matroid perspectives

Johann A. Makowsky
Meta theorems for graph polynomials

Iain Moffatt
Constructing a Tutte polynomial for graphs embedded on surfaces

Steven Noble
A primer on delta-matroids and multimatroids

MATRIX Program: Delay Differential Equations and their Applications

Franco Herrera, Sergei Trofimchuk
On the global dynamics of a forest model with monotone positive feedback and memory

Anatoli Ivanov, Sergiy Shelyag
Delay differential equations with periodic coefficients: a numerical insight

Erik I. Verriest
Escape from gravity: A post-Newtonian approach with state-dependent delay

Erik I. Verriest, Yang Kuang
Laplace transform in stability analysis of differential systems with delay interval

Hans-Otto Walther
On solution manifolds of some differential equations with more general state-dependent delay

Other Contributed Articles

MATRIX-MFO Tandem Workshop: Stochastic Reinforcement Processes and Graphs

G. Aletti, A. Collevecchio, I. Crimaldi, M. Deijfen, S. Dereich, A. Ghiglietti, R. van der Hofstad, M. Holmes, D. Kious, V. Kleptsyn, B. Lodewijks, P. Mörters, B. Schapira
Open problems in stochastic reinforcement models

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

Massimiliano Morini
Level set and variational methods for geometric flows

Salvatore Stuvard
New advances on the existence and regularity of Brakke’s mean curvature flows

MATRIX Program: Monte Carlo Algorithms in Statistical Mechanics

Saksham Aggarwal, Timothy M. Garoni
The clumsy coupon collector

C. J. Bradly, A. L. Owczarek
Adsorption transition of self-avoiding walks on high-dimensional lattices

Catherine Greenhill
Triangle switches: irreducibility and mixing

Philipp Höllmer
Molecular Simulation from Modern Statistics

EJ Janse van Rensburg
Monte Carlo sampling of dense walks using PERM and GARM

Weitang Liu, Ying Wai Li
A Monte Carlo algorithm for sampling neural networks

Manon Michel
Non-reversible and continuous-time sampling by piecewise deterministic Markov processes

Stefan Schnabel, Wolfhard Janke
Long Lennard-Jones polymers at the Theta point

Martin Weigel
Population Monte Carlo as a meta-algorithm

Tianning Xiao, Zhiyi Li, Sheng Fang, Zongzheng Zhou, Youjin Deng
Finite-size scaling of the high-dimensional Ising model in geometric representations

Xusheng Zhang, Werner Krauth
Diameters of symmetric and lifted simple exclusion models

MATRIX Program: Extremal Problems in Graphs, Designs, and Geometries

Abdul Basit, Bertille Granet, Daniel Horsley, André Kündgen, Katherine Staden
Maximising the number of properly 2-coloured 4-cycles

Candida Bowtell, Alice Devillers, André Kündgen, Padraig Ó Catháin, Ian M. Wanless
Extendibility of Latin hypercuboids

Alice Devillers, Nina Kamčev, Brendan McKay, Padraig Ó Catháin, Gordon Royle, Geertrui Van de Voorde, Ian Wanless, David R. Wood
Triangle-free graphs with diameter 2

Bryce Frederickson, Nina Kamčev, Anita Liebenau, Geertrui Van de Voorde
A new family of Sidorenko linear configurations

Richard Montgomery, Rajko Nenadov, Tibor Szabó
Global rigidity of random graphs in R