2021-22 MATRIX Annals

The 2021-22 MATRIX Annals, the fifth book in the MATRIX Book Series, documents scientific activities at MATRIX in 2021-2022. Pre-publication versions of the articles in the book are posted below.

We expect that the 2021–22 MATRIX Annals will be indexed by zbmath and mathscinet.

Preface

MATRIX-MFO Workshops

Invariants and Structures in Low-Dimensional Topology (Guest editors: Stefan Friedl, Jessica Purcell, Arunima Ray, Stephan Tillmann)

Rough Wave Equations

MATRIX-RIMS Workshop

Integrable Probability, Combinatorics and Representation Theory

MATRIX-SMRI Symposia

Singularities in Geometric Flows: An Ancient Perspective
Nijenhuis Geometry and Integrable Systems

MATRIX Programs

Integrability and Combinatorics at Finite Temperature
Structured Random Matrices in Down Under
Women in Geometry, Analysis and Topology
Isoperimetric Inequalities in Geometric Partial Differential Equations
Groups and Geometries (Guest editor: Anne Thomas)
Quantum Curves, Integrability and Cluster Algebras (Guest editor: Norman Do)
2D Supersymmetric Theories and Related Topics (Guest editor: Emanuel Scheidegger)
Dynamics, Foliations, and Geometry II (Guest editor: Holger Dullin)
Frontiers in Representation Theory
Structural Graph Theory Downunder II (Guest editors: Tony Huynh and Liana Yepremyan)
Hyperbolic Differential Equations in Geometry and Physics (Guest editor: Volker Schlue)
Symmetry for Group Actions in Differential Geometry
Mathematics of Tissue Dynamics (Guest editors: Ryan Murphy, Domenic Germano, Adriana Zanca)
Cell Motility in Dynamic Environments
Theory and Applications of Stable Polynomials (Guest editor: James Saunderson)
Mathematics of Risk 2022 (Guest editor: Kais Hamza)
IBS-CGP & MATRIX Workshop on Symplectic Topology (Guest editor: Marco Yat-Hin Suen)
Mathematics of the Interactions between Brain Structure and Brain Functions (Guest editor: Sergiy Shelyag)
Convexity, Geometry and Computation

Refereed Articles

MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology

J. Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann
A new family of minimal ideal triangulations of cusped hyperbolic 3-manifolds
page 5–28, doi: 10.1007/978-3-031-47417-0_1

MATRIX Program: Groups and Geometries

Alex Elzenaar, Gaven Martin, Jeroen Schillewaert
Concrete one complex dimensional moduli spaces of hyperbolic manifolds and orbifolds: Kleinian groups and the generalised Riley slices
page 31–74, doi: 10.1007/978-3-031-47417-0_2

MATRIX Program: Quantum Curves, Integrability and Cluster Algebras

Kowshik Bettadapura
First properties of supermanifolds, their functor of points and the DeWitt topology
page 77–100, doi: 10.1007/978-3-031-47417-0_3

MATRIX Program: 2D Supersymmetric Theories and Related Topics

Daniele Bielli
On Super Non-Abelian T-Duality of Symmetric and Semi-Symmetric Coset Sigma Models
page 103–107, doi: 10.1007/978-3-031-47417-0_4

Kaiwen Sun
On Twisted Elliptic Genera
page 109–114, doi: 10.1007/978-3-031-47417-0_5

Daniel Grumiller, Martin Laihartinger, Romain Ruzziconi
Minkowski and (A)dS ground states in general 2d dilaton gravity
page 115–127, doi: 10.1007/978-3-031-47417-0_6

Ulf Lindström
2d Sigma Models and Geometry
page 129–144, doi: 10.1007/978-3-031-47417-0_7

Eric Sharpe
An introduction to decomposition
page 145–168, doi: 10.1007/978-3-031-47417-0_8

MATRIX Program: Structural Graph Theory Downunder II

Rutger Campbell, Katie Clinch, Marc Distel, J. Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Tony Huynh, Freddie Illingworth, Youri Tamitegama, Jane Tan, David R. Wood
Product Structure of Graph Classes with Bounded Treewidth
page 187–202, doi: 10.1007/978-3-031-47417-0_9

Katie Clinch, Jackson Goerner, Tony Huynh, Freddie Illingworth
Notes on Aharoni’s rainbow cycle conjecture
page 171–185, doi: 10.1007/978-3-031-47417-0_10

Marc Distel, David R. Wood
Tree-Partitions with Bounded Degree Trees
page 203–212, doi: 10.1007/978-3-031-47417-0_11

Robert Hickingbotham, Freddie Illingworth, Bojan Mohar, David R. Wood
Treewidth, Circle Graphs and Circular Drawings
page 213–227, doi: 10.1007/978-3-031-47417-0_12

MATRIX Program: Hyperbolic Differential Equations in Geometry and Physics

Arick Shao
Bulk-boundary correspondences and unique continuation in asymptotically Anti-de Sitter spacetimes
page 231–273, doi: 10.1007/978-3-031-47417-0_13

Dean Baskin, Kiril Datchev
Propagation of Singularities for the Wave Equation
page 275–286, doi: 10.1007/978-3-031-47417-0_14

MATRIX Program: Mathematics of Tissue Dynamics

Ishraq U. Ahmed, Jennifer A. Flegg, Claire Miller, Ricardo Ruiz-Baier, Joshua Won, Adriana Zanca
Multiphase models for moving boundary problems in biology
page 289–307, doi: 10.1007/978-3-031-47417-0_15

MATRIX Program: Mathematics of Risk 2022

P. G. Morrison
Asian Option Pricing via Laguerre Quadrature: A Diffusion Kernel Approach
page 311–348, doi: 10.1007/978-3-031-47417-0_16

Jie Yen Fan, Fima C. Klebaner
On Dupire Formula and Diffusion with Given Marginals
page 349–361, doi: 10.1007/978-3-031-47417-0_17

Peilun He, Nino Kordzakhia, Gareth W. Peters, Pavel V. Shevchenko
Multi-Factor Polynomial Diffusion Models and Inter-Temporal Futures Dynamics
source code on github
page 363–382, doi: 10.1007/978-3-031-47417-0_18

Jun S. Han, Nino Kordzakhia, Pavel V. Shevchenko, Stefan Trück
On Autoregressive Measurement Errors in a Two-Factor Model
source code on github
page 383–398, doi: 10.1007/978-3-031-47417-0_19

Vincent Liang, Konstantin Borovkov
On extension of the Markov chain approximation method for computing Feynman-Kac type expectations
page 399–412, doi: 10.1007/978-3-031-47417-0_20

Ying He, Konstantin Borovkov
On ruin probabilities in a Sparre Andersen type model in the presence of risky investments and random switching
page 413–428, doi: 10.1007/978-3-031-47417-0_21

Noufel Frikha, Arturo Kohatsu-Higa
On some asymptotic expansions of skew diffusions
page 429–448, doi: 10.1007/978-3-031-47417-0_22

A.E. Brockwell
Fractional Growth Portfolio Investment
page 449–466, doi: 10.1007/978-3-031-47417-0_23

José-Luis Pérez, Kazutoshi Yamazaki
Lévy bandits under Poissonian decision times
page 467–489, doi: 10.1007/978-3-031-47417-0_24

Bo Li, Xiaowen Zhou
Entrance laws for continuous-state nonlinear branching processes coming down from infinity
page 491–503, doi: 10.1007/978-3-031-47417-0_25

Hansjoerg Albrecher, Oscar Peralta
The matrix sequential probability ratio test and multivariate ruin theory
page 505–516, doi: 10.1007/978-3-031-47417-0_26

Vladimira Seckarova, Kamil Dedecius
Bayesian Parameter Estimation for Poisson AR Model
page 517–526, doi: 10.1007/978-3-031-47417-0_27

Denis Belomestny, Frank van der Meulen, Peter Spreij
Nonparametric Bayesian inference for stochastic processes with piecewise constant priors
page 527–568, doi: 10.1007/978-3-031-47417-0_28

Alexander G Tartakovsky, Valentin Spivak
Quickest Changepoint Detection in General Multistream Stochastic Models: Recent Results, Applications and Future Challenges
page 569–611, doi: 10.1007/978-3-031-47417-0_29

MATRIX Program: Mathematics of the Interactions between Brain Structure and Brain Functions

Alex Hocking, Kerri Morgan, Nicholas Parsons, Govinda Poudel, Sergiy Shelyag, Julien Ugon
Mathematical Foundations for Measurement of Communication Efficiency in the Human Brain
page 615–624, doi: 10.1007/978-3-031-47417-0_30

Nadezda Sukhorukova, Liam Kelly
k -Means clustering in EEG (brain waves) timeseries
page 625–631, doi: 10.1007/978-3-031-47417-0_31

IBS-CGP & MATRIX Workshop: Symplectic Topology

Yong-Geun Oh, Taesu Kim
Analysis of pseudoholomorphic curves on symplectization: Revisit via contact instantons
page 635–732, doi: 10.1007/978-3-031-47417-0_32

Ke Zhu
High-jet Relations of the Heat Kernel: Embedding Map and Applications
page 741–771, doi: 10.1007/978-3-031-47417-0_33

Other Contributed Articles

MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology

Stefan Friedl, Julian Hannes
Pachner’s Theorem
page 777–832, doi: 10.1007/978-3-031-47417-0_34

MATRIX Program: 2D Supersymmetric Theories and Related Topics

Wei Gu
Vacuum Structures Revisited
page 835–854, doi: 10.1007/978-3-031-47417-0_35

MATRIX Program: Theory and Applications of Stable Polynomials

Jacob P. Matherne
A large class of conjecturally stable chromatic symmetric functions
page 857–860, doi: 10.1007/978-3-031-47417-0_36

Jidong Wang
A problem about virtual polytopes
page 861–863, doi: 10.1007/978-3-031-47417-0_37

James Saunderson
A conjecture on spectral sparsification with respect to hyperbolicity cones
page 865–867, doi: 10.1007/978-3-031-47417-0_38

Xavier Coulter, Norman Do, Ellena Moskovsky
Topological Narayana polynomials and interlacing conjectures
page 869–873, doi: 10.1007/978-3-031-47417-0_39