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  • © 2019

2017 MATRIX Annals

  • 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
  • Top-level science from Australia

Part of the book series: MATRIX Book Series (MXBS, volume 2)

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Table of contents (54 chapters)

  1. Front Matter

    Pages i-xli
  2. Refereed Articles

    1. Front Matter

      Pages 1-1
    2. Sequential Bayesian Inference for Dynamical Systems Using the Finite Volume Method

      • Colin Fox, Richard A. Norton, Malcolm E. K. Morrison, Timothy C. A. Molteno
      Pages 13-23
    3. Correlation Integral Likelihood for Stochastic Differential Equations

      • Heikki Haario, Janne Hakkarainen, Ramona Maraia, Sebastian Springer
      Pages 25-36
    4. Local Volatility Calibration by Optimal Transport

      • Ivan Guo, Grégoire Loeper, Shiyi Wang
      Pages 51-64
    5. Likelihood Informed Dimension Reduction for Remote Sensing of Atmospheric Constituent Profiles

      • Otto Lamminpää, Marko Laine, Simo Tukiainen, Johanna Tamminen
      Pages 65-78
    6. Wider Contours and Adaptive Contours

      • Shev MacNamara, William McLean, Kevin Burrage
      Pages 79-98
    7. Bayesian Point Set Registration

      • Adam Spannaus, Vasileios Maroulas, David J. Keffer, Kody J. H. Law
      Pages 99-120
    8. Optimization Methods for Inverse Problems

      • Nan Ye, Farbod Roosta-Khorasani, Tiangang Cui
      Pages 121-140
    9. Diagonal Form Factors from Non-diagonal Ones

      • Zoltan Bajnok, Chao Wu
      Pages 141-151
    10. Narayana Number, Chebyshev Polynomial and Motzkin Path on RNA Abstract Shapes

      • Sang Kwan Choi, Chaiho Rim, Hwajin Um
      Pages 153-166
    11. A Curious Mapping Between Supersymmetric Quantum Chains

      • Gyorgy Z. Feher, Alexandr Garbali, Jan de Gier, Kareljan Schoutens
      Pages 167-184
    12. Boundary Regularity of Mass-Minimizing Integral Currents and a Question of Almgren

      • Camillo De Lellis, Guido De Philippis, Jonas Hirsch, Annalisa Massaccesi
      Pages 193-205
    13. Optimal Transport with Discrete Mean Field Interaction

      • Jiakun Liu, Grégoire Loeper
      Pages 207-212
    14. A Sixth Order Curvature Flow of Plane Curves with Boundary Conditions

      • James McCoy, Glen Wheeler, Yuhan Wu
      Pages 213-221
    15. How to Hear the Corners of a Drum

      • Medet Nursultanov, Julie Rowlett, David Sher
      Pages 243-278

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 1-4 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 Low-Dimensional 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 R-Matrices: from Geometry to Probability

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.


Editors and Affiliations

  • Monash University, Melbourne, Australia

    David R. Wood

  • The University of Melbourne, Melbourne, Australia

    Jan de Gier

  • University of Western Australia, Perth, Australia

    Cheryl E. Praeger

  • UCLA, Los Angeles, USA

    Terence Tao

About the editors

David Wood is co-Director 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 co-Director 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 Member-at-Large 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 Australian-American 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 co-recipient of the 2006 Fields Medal and the 2014 Breakthrough Prize in Mathematics.

Bibliographic Information

  • Book Title: 2017 MATRIX Annals

  • Editors: David R. Wood, Jan de Gier, Cheryl E. Praeger, Terence Tao

  • Series Title: MATRIX Book Series

  • DOI: https://doi.org/10.1007/978-3-030-04161-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-04160-1Published: 25 March 2019

  • eBook ISBN: 978-3-030-04161-8Published: 13 March 2019

  • Series ISSN: 2523-3041

  • Series E-ISSN: 2523-305X

  • Edition Number: 1

  • Number of Pages: XLI, 691

  • Number of Illustrations: 37 b/w illustrations, 110 illustrations in colour

  • Topics: Mathematics, general

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access