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MATRIX is Australia's international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-2 weeks in duration. This book is a scientific record of the 24 programs held at MATRIX in 2021-2022, including tandem workshops with Mathematisches Forschungsinstitut Oberwolfach (MFO), with Research Institute for Mathematical Sciences Kyoto University (RIMS), and with Sydney Mathematical Research Institute (SMRI).
List of contents
Refereed Articles.- MATRIX--MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology.- A new family of minimal ideal triangulations of cusped hyperbolic 3--manifolds.- MATRIX Program: Groups and Geometries 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.- First properties of supermanifolds, their functor of points and the DeWitt topology.- MATRIX Program: 2D Supersymmetric Theories and Related Topics.- On Super Non-Abelian T-Duality of Symmetric and Semi-Symmetric Coset Sigma Models.- On Twisted Elliptic General Minkowski and (A)dS ground states in general 2d dilaton gravity'.- $2d$ Sigma Models and Geometry.- MATRIX Program: Structural Graph Theory Downunder II.- Product Structure of Graph Classes with Bounded Treewidth.- Notes on Aharoni's rainbow cycle conjecture.- Marc Distel, David R. Woodnewline ``Tree-Partitions with Bounded Degree Trees.- Treewidth, Circle Graphs and Circular Drawings.- MATRIX Program: Hyperbolic Differential Equations in Geometry and Physics.- Bulk-boundary correspondences and unique continuation in asymptotically Anti-de Sitter spacetimes.- Propagation of Singularities for the Wave Equation.- MATRIX Program: Mathematics of Tissue Dynamics.- Multiphase models for moving boundary problems in biology.- MATRIX Program: Mathematics of Risk 2022.- Asian Option Pricing via Laguerre Quadrature: A Diffusion Kernel Approach.- On Dupire Formula and Diffusion with Given Marginals.- Multi-Factor Polynomial Diffusion Models and Inter-Temporal Futures Dynamics.- On Autoregressive Measurement Errors in a Two-Factor Model.- On extension of the Markov chain approximation method for computing Feynman-Kac type expectations.- On ruin probabilities in a Sparre Andersen type model in the presence of risky investments and random switching.- On some asymptotic expansions of skew diffusions.- Fractional Growth Portfolio Investment.- Lévy bandits under Poissonian decision times.- Entrance laws for continuous-state nonlinear branching processes coming down from infinity.- The matrix sequential probability ratio test and multivariate ruin theory.- Bayesian Parameter Estimation for Poisson AR Model.- Nonparametric {B}ayesian inference for stochastic processes with piecewise constant priors.- Quickest Changepoint Detection in General Multistream Stochastic Models: Recent Results, Applications and Future Challenges.- MATRIX Program: Mathematics of the Interactions between Brain Structure and Brain Functions.- Mathematical Foundations for Measurement of Communication Efficiency in the Human Brain.- k-Means clustering in EEG (brain waves) timeseries.- IBS-CGP & MATRIX Workshop: Symplectic Topology.- Analysis of pseudoholomorphic curves on symplectization: Revisit via contact instantons.- High-jet Relations of the Heat Kernel: Embedding Map and Applications.- Other ContributedArticles.-MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology.- Pachner's Theorem.- MATRIX Program: 2D Supersymmetric Theories and Related Topics.- Vacuum Structures Revisited.- MATRIX Program: Theory and Applications of Stable Polynomials.- A large class of conjecturally stable chromatic symmetric functions.- A problem about virtual polytopes.- A conjecture on spectral sparsification with respect to hyperbolicity cones.- Topological Narayana polynomials and interlacing conjectures.
