2017 MATRIX Annals
Editors:
Editorinchief: Wood, David R.
de Gier, Jan, Praeger, Cheryl E, Tao, Terence (Eds.)
 The book displays the research and activities of Australia's international and residential mathematics research institute, MATRIX
 Contains articles on hot topics in the eight major programs held at MATRIX in its second year, 2017
 Toplevel science from Australia
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 About this book

MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 14 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017:
 Hypergeometric Motives and Calabi–Yau Differential Equations
 Computational Inverse Problems
 Integrability in LowDimensional Quantum Systems
 Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book
 Combinatorics, Statistical Mechanics, and Conformal Field Theory
 Mathematics of Risk
 Tutte Centenary Retreat
 Geometric RMatrices: from Geometry to Probability
The articles are grouped into peerreviewed contributions and other contributions. The peerreviewed 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.
 About the authors

David Wood is coDirector of MATRIX, and Professor in the Discrete Mathematics Research Group of the School of Mathematical Sciences at Monash University. David’s research interests are in discrete mathematics and theoretical computer science, especially structural graph theory, extremal graph theory, geometric graph theory, graph colouring, and combinatorial geometry.
Jan de Gier is coDirector of MATRIX, and Professor and Head of the School of Mathematics and Statistics at the University of Melbourne. He is also Chief Investigator of the ARC Centre of Excellence for Mathematical and Statistical Frontiers. Jan’s main research areas are mathematical physics, statistical mechanics, interacting particle systems, solvable lattice models, representation theory and multivariable polynomials. He also studies applications of stochastic particle systems to real world traffic modelling.
Cheryl Praeger AM FAA is Emeritus Professor of Mathematics at the University of Western Australia. She is former Foreign Secretary of the Australian Academy of Science, former MemberatLarge of the Executive of the International Mathematical Union, former ARC Federation Fellow, and was the inaugural Director of the UWA Centre for the Mathematics of Symmetry and Computation. Cheryl’s research has focused on the theory of group actions and their applications in algebraic graph theory and for combinatorial designs; and algorithms for group computation including questions in statistical group theory and algorithmic complexity.
Terence Tao FAA FRS is an AustralianAmerican mathematician who works in harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing and analytic number theory. He holds the James and Carol Collins chair in mathematics at the University of California, Los Angeles. Tao was a corecipient of the 2006 Fields Medal and the 2014 Breakthrough Prize in Mathematics.
 Table of contents (54 chapters)


A MetropolisHastingsWithinGibbs Sampler for Nonlinear HierarchicalBayesian Inverse Problems
Pages 312

Sequential Bayesian Inference for Dynamical Systems Using the Finite Volume Method
Pages 1323

Correlation Integral Likelihood for Stochastic Differential Equations
Pages 2536

A Set Optimization Technique for Domain Reconstruction from SingleMeasurement Electrical Impedance Tomography Data
Pages 3749

Local Volatility Calibration by Optimal Transport
Pages 5164

Table of contents (54 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 2017 MATRIX Annals
 Editors

 David R. Wood
 Jan de Gier
 Cheryl E Praeger
 Terence Tao
 Series Title
 MATRIX Book Series
 Series Volume
 2
 Copyright
 2019
 Publisher
 Springer International Publishing
 Copyright Holder
 Springer Nature Switzerland AG
 eBook ISBN
 9783030041618
 DOI
 10.1007/9783030041618
 Hardcover ISBN
 9783030041601
 Series ISSN
 25233041
 Edition Number
 1
 Number of Pages
 XLI, 691
 Number of Illustrations
 37 b/w illustrations, 110 illustrations in colour
 Topics