# 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.

## MATRIX-MFO Workshops

Rough Wave Equations

## MATRIX-RIMS Workshop

Integrable Probability, Combinatorics and Representation Theory

## MATRIX-SMRI Symposia

## MATRIX Programs

## 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

### 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

### MATRIX Program: Quantum Curves, Integrability and Cluster Algebras

Kowshik Bettadapura

First properties of supermanifolds, their functor of points and the DeWitt topology

### MATRIX Program: 2D Supersymmetric Theories and Related Topics

Daniele Bielli

On Super Non-Abelian T-Duality of Symmetric and Semi-Symmetric Coset Sigma Models

Kaiwen Sun

On Twisted Elliptic Genera

Daniel Grumiller, Martin Laihartinger, Romain Ruzziconi

Minkowski and (A)dS ground states in general 2d dilaton gravity

Ulf Lindström

2d Sigma Models and Geometry

Eric Sharpe

An introduction to decomposition

### 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

Katie Clinch, Jackson Goerner, Tony Huynh, Freddie Illingworth

Notes on Aharoni’s rainbow cycle conjecture

Marc Distel, David R. Wood

Tree-Partitions with Bounded Degree Trees

Robert Hickingbotham, Freddie Illingworth, Bojan Mohar, David R. Wood

Treewidth, Circle Graphs and Circular Drawings

### MATRIX Program: Hyperbolic Differential Equations in Geometry and Physics

Arick Shao

Bulk-boundary correspondences and unique continuation in asymptotically Anti-de Sitter spacetimes

Dean Baskin, Kiril Datchev

Propagation of Singularities for the Wave Equation

### 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

### 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

Nadezda Sukhorukova, Liam Kelly

k -Means clustering in EEG (brain waves) timeseries

### MATRIX Program: Mathematics of Risk 2022

P. G. Morrison

Asian Option Pricing via Laguerre Quadrature: A Diffusion Kernel Approach

Jie Yen Fan, Fima C. Klebaner

On Dupire Formula and Diffusion with Given Marginals

Peilun He, Nino Kordzakhia, Gareth W. Peters, Pavel V. Shevchenko

Multi-Factor Polynomial Diffusion Models and Inter-Temporal Futures Dynamics

source code on github

Jun S. Han, Nino Kordzakhia, Pavel V. Shevchenko, Stefan Trück

On Autoregressive Measurement Errors in a Two-Factor Model

source code on github

Vincent Liang, Konstantin Borovkov

On extension of the Markov chain approximation method for computing Feynman-Kac type expectations

Ying He, Konstantin Borovkov

On ruin probabilities in a Sparre Andersen type model in the presence of risky investments and random switching

Noufel Frikha, Arturo Kohatsu-Higa

On some asymptotic expansions of skew diffusions

A.E. Brockwell

Fractional Growth Portfolio Investment

José-Luis Pérez, Kazutoshi Yamazaki

Lévy bandits under Poissonian decision times

Bo Li, Xiaowen Zhou

Entrance laws for continuous-state nonlinear branching processes coming down from infinity

Hansjoerg Albrecher, Oscar Peralta

The matrix sequential probability ratio test and multivariate ruin theory

Vladimira Seckarova, Kamil Dedecius

Bayesian Parameter Estimation for Poisson AR Model

Denis Belomestny, Frank van der Meulen, Peter Spreij

Nonparametric Bayesian inference for stochastic processes with piecewise constant priors

Alexander G Tartakovsky, Valentin Spivak

Quickest Changepoint Detection in General Multistream Stochastic Models: Recent Results, Applications and Future Challenges

### IBS-CGP & MATRIX Workshop: Symplectic Topology

Yong-Geun Oh, Taesu Kim

Analysis of pseudoholomorphic curves on symplectization: Revisit via contact instantons

Ke Zhu

High-jet Relations of the Heat Kernel: Embedding Map and Applications

## Other Contributed Articles

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

Stefan Friedl, Julian Hannes

Pachner’s Theorem

### MATRIX Program: 2D Supersymmetric Theories and Related Topics

Wei Gu

Vacuum Structures Revisited

### MATRIX Program: Theory and Applications of Stable Polynomials

Jacob P. Matherne

A large class of conjecturally stable chromatic symmetric functions

Jidong Wang

A problem about virtual polytopes

James Saunderson

A conjecture on spectral sparsification with respect to hyperbolicity cones

Xavier Coulter, Norman Do, Ellena Moskovsky

Topological Narayana polynomials and interlacing conjectures