2018 MATRIX Annals

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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 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in 2018:

• Non-Equilibrium Systems and Special Functions

• Algebraic Geometry, Approximation and Optimisation

• On the Frontiers of High Dimensional Computation

• Month of Mathematical Biology

• Dynamics, Foliations, and Geometry In Dimension 3

• Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type

• Functional Data Analysis and Beyond

• Geometric and Categorical Representation Theory

The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.