​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.

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nexusstc/2017 MATRIX Annals/8912bfc95c9b970b7647671367f3bd76.pdf

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zlib/Science (General)/Jan de Gier, Cheryl E. Praeger, Terence Tao/2017 MATRIX Annals_4982206.pdf

2017 Matrix Annals 1st Ed. 2018

Jan de Gier; Cheryl E Praeger; Terence Tao; David R Wood

Cheryl E Praeger; Terence Tao; Jan de Gier

Springer Nature Switzerland AG

MATRIX Book Series, 2, 1st ed. 2019, Cham, 2019

MATRIX Book Series, 2, Cham, Switzerland, 2019

MATRIX Book Series, v.2, Cham, 2019

Switzerland, Switzerland

Mar 14, 2019

2018

sm74722243

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Source title: 2017 MATRIX Annals (MATRIX Book Series)

Front Matter ....Pages i-xli
Front Matter ....Pages 1-1
A Metropolis-Hastings-Within-Gibbs Sampler for Nonlinear Hierarchical-Bayesian Inverse Problems (Johnathan M. Bardsley, Tiangang Cui)....Pages 3-12
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
Correlation Integral Likelihood for Stochastic Differential Equations (Heikki Haario, Janne Hakkarainen, Ramona Maraia, Sebastian Springer)....Pages 25-36
A Set Optimization Technique for Domain Reconstruction from Single-Measurement Electrical Impedance Tomography Data (Bastian Harrach, Janosch Rieger)....Pages 37-49
Local Volatility Calibration by Optimal Transport (Ivan Guo, Grégoire Loeper, Shiyi Wang)....Pages 51-64
Likelihood Informed Dimension Reduction for Remote Sensing of Atmospheric Constituent Profiles (Otto Lamminpää, Marko Laine, Simo Tukiainen, Johanna Tamminen)....Pages 65-78
Wider Contours and Adaptive Contours (Shev MacNamara, William McLean, Kevin Burrage)....Pages 79-98
Bayesian Point Set Registration (Adam Spannaus, Vasileios Maroulas, David J. Keffer, Kody J. H. Law)....Pages 99-120
Optimization Methods for Inverse Problems (Nan Ye, Farbod Roosta-Khorasani, Tiangang Cui)....Pages 121-140
Diagonal Form Factors from Non-diagonal Ones (Zoltan Bajnok, Chao Wu)....Pages 141-151
Narayana Number, Chebyshev Polynomial and Motzkin Path on RNA Abstract Shapes (Sang Kwan Choi, Chaiho Rim, Hwajin Um)....Pages 153-166
A Curious Mapping Between Supersymmetric Quantum Chains (Gyorgy Z. Feher, Alexandr Garbali, Jan de Gier, Kareljan Schoutens)....Pages 167-184
Remarks on \(\boldsymbol {A^{(1)}_n}\) Face Weights (Atsuo Kuniba)....Pages 185-192
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
Optimal Transport with Discrete Mean Field Interaction (Jiakun Liu, Grégoire Loeper)....Pages 207-212
A Sixth Order Curvature Flow of Plane Curves with Boundary Conditions (James McCoy, Glen Wheeler, Yuhan Wu)....Pages 213-221
Quasilinear Parabolic and Elliptic Equations with Singular Potentials (Maria Michaela Porzio)....Pages 223-242
How to Hear the Corners of a Drum (Medet Nursultanov, Julie Rowlett, David Sher)....Pages 243-278
Nonparametric Bayesian Volatility Estimation (Shota Gugushvili, Frank van der Meulen, Moritz Schauer, Peter Spreij)....Pages 279-302
The Exact Asymptotics for Hitting Probability of a Remote Orthant by a Multivariate Lévy Process: The Cramér Case (Konstantin Borovkov, Zbigniew Palmowski)....Pages 303-309
Parisian Excursion Below a Fixed Level from the Last Record Maximum of Lévy Insurance Risk Process (Budhi A. Surya)....Pages 311-326
Simple Group Actions on Arc-Transitive Graphs with Prescribed Transitive Local Action (Marston Conder)....Pages 327-335
Biquasiprimitive Oriented Graphs of Valency Four (Nemanja Poznanović, Cheryl E. Praeger)....Pages 337-341
The Contributions of W.T. Tutte to Matroid Theory (Graham Farr, James Oxley)....Pages 343-361
Cluster Decorated Geometric Crystals, Generalized Geometric RSK-Correspondences, and Donaldson-Thomas Transformations (Gleb Koshevoy)....Pages 363-387
Front Matter ....Pages 389-389
Fields of Definition of Finite Hypergeometric Functions (Frits Beukers)....Pages 391-400
L-Series and Feynman Integrals (David Broadhurst, David P. Roberts)....Pages 401-403
Arithmetic Properties of Hypergeometric Mirror Maps and Dwork’s Congruences (Éric Delaygue)....Pages 405-416
Appell–Lauricella Hypergeometric Functions over Finite Fields, and a New Cubic Transformation Formula (Sharon Frechette, Holly Swisher, Fang-Ting Tu)....Pages 417-422
Sequences, Modular Forms and Cellular Integrals (Dermot McCarthy, Robert Osburn, Armin Straub)....Pages 423-424
Some Supercongruences for Truncated Hypergeometric Series (Ling Long, Ravi Ramakrishna)....Pages 425-427
The Explicit Formula and a Motivic Splitting (David P. Roberts)....Pages 429-433
Hypergeometric Supercongruences (David P. Roberts, Fernando Rodriguez Villegas)....Pages 435-439
Alternate Mirror Families and Hypergeometric Motives (Charles F. Doran, Tyler L. Kelly, Adriana Salerno, Steven Sperber, John Voight, Ursula Whitcher)....Pages 441-448
Schwarzian Equations and Equivariant Functions (Abdellah Sebbar)....Pages 449-460
Hypergeometric Functions over Finite Fields (Jenny Fuselier, Ling Long, Ravi Ramakrishna, Holly Swisher, Fang-Ting Tu)....Pages 461-466
Supercongruences Occurred to Rigid Hypergeometric Type Calabi–Yau Threefolds (Ling Long, Fang-Ting Tu, Noriko Yui, Wadim Zudilin)....Pages 467-470
p-Adic Hypergeometrics (Fernando Rodriguez Villegas)....Pages 471-474
On p-Adic Unit-Root Formulas (Masha Vlasenko)....Pages 475-479
Triangular Modular Curves (John Voight)....Pages 481-483
Jacobi Sums and Hecke Grössencharacters (Mark Watkins)....Pages 485-486
Special Values of Hypergeometric Functions and Periods of CM Elliptic Curves (Yifan Yang)....Pages 487-489
CY-Operators and L-Functions (Duco van Straten)....Pages 491-503
A Matrix Theoretic Derivation of the Kalman Filter (Johnathan M. Bardsley)....Pages 505-513
Approximate Bayesian Computational Methods for the Inference of Unknown Parameters (Yuqin Ke, Tianhai Tian)....Pages 515-529
The Loop-Weight Changing Operator in the Completely Packed Loop Model (Bernard Nienhuis, Kayed Al Qasimi)....Pages 531-543
A Note on Optimal Double Spending Attacks (Juri Hinz, Peter Taylor)....Pages 545-551
Stochastic Maximum Principle on a Continuous-Time Behavioral Portfolio Model (Qizhu Liang, Jie Xiong)....Pages 553-558
Number of Claims and Ruin Time for a Refracted Risk Process (Yanhong Li, Zbigniew Palmowski, Chunming Zhao, Chunsheng Zhang)....Pages 559-578
Numerical Approximations to Distributions of Weighted Kolmogorov-Smirnov Statistics via Integral Equations (Dan Wu, Lin Yee Hin, Nino Kordzakhia, Alexander Novikov)....Pages 579-589
Introduction to Extreme Value Theory: Applications to Risk Analysis and Management (Marie Kratz)....Pages 591-636
Monotone Sharpe Ratios and Related Measures of Investment Performance (Mikhail Zhitlukhin)....Pages 637-665
On Chernoff’s Test for a Fractional Brownian Motion (Alexey Muravlev, Mikhail Zhitlukhin)....Pages 667-674
How to Sheafify an Elliptic Quantum Group (Yaping Yang, Gufang Zhao)....Pages 675-691

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:
Erscheinungsdatum: 25.03.2019

2019-03-20