2017 MATRIX Annals

The 2017 MATRIX Annals, the second book in the MATRIX Book Series, documents scientific activities at MATRIX in 2017. Pre-publication versions of the articles in the book are posted below.

Preface

Guest Editors

Computational Inverse Problems

Tiangang Cui, Hans De Sterck

Hypergeometric Motives and Calabi–Yau Differential Equations

Masha Vlasenko

Integrability in Low-Dimensional Quantum Systems

Chaiho Rim and Paul Pearce

Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book

Paul Bryan

Mathematics of Risk

Alexander Novikov and Kostya Borovkov

Tutte Centenary Retreat

Graham Farr, Marston Conder, Dillon Mayhew, Gordon Royle

Geometric R-Matrices: from Geometry to Probability

Paul Zinn-Justin

Refereed Articles

Computational Inverse Problems

Johnathan M. Bardsley, Tiangang Cui
A Metropolis-Hastings-within-Gibbs Sampler for Nonlinear Hierarchical-Bayesian Inverse Problems
pages 3–12, doi:10.1007/978-3-030-04161-8_1

Colin Fox, Richard A. Norton, Malcolm E. K. Morrison, Timothy C. A. Molteno
Sequential Bayesian Inference for Dynamical Systems Using the Finite Volume Method
pages 13–23, doi:10.1007/978-3-030-04161-8_2

Heikki Haario, Janne Hakkarainen, Ramona Maraia, Sebastian Springer
Correlation integral likelihood for stochastic differential equations
pages 25-36, doi:10.1007/978-3-030-04161-8_3

Bastian Harrach, Janosch Rieger
A set optimization technique for domain reconstruction from single-measurement electrical impedance tomography data
pages 37-49, doi:10.1007/978-3-030-04161-8_4

Ivan Guo, Grégoire Loeper, Shiyi Wang
Local Volatility Calibration by Optimal Transport
pages 51-64, doi:10.1007/978-3-030-04161-8_5

Otto Lamminpää, Marko Laine, Simo Tukiainen, Johanna Tamminen
Likelihood informed dimension reduction for remote sensing of atmospheric constituent profiles
pages 65-78, doi:10.1007/978-3-030-04161-8_6

Shev MacNamara, William McLean, Kevin Burrage
Wider contours and adaptive contours
pages 79-98, doi:10.1007/978-3-030-04161-8_7

Adam Spannaus, Vasileios Maroulas, David J. Keffer, Kody J. H. Law
Bayesian Point Set Registration
pages 99-120, doi:10.1007/978-3-030-04161-8_8

Nan Ye, Farbod Roosta-Khorasani, Tiangang Cui
Optimization Methods for Inverse Problems
pages 121-140, doi:10.1007/978-3-030-04161-8_9

Integrability in Low-Dimensional Quantum Systems

Zoltan Bajnok, Chao Wu
Diagonal form factors from non-diagonal ones
pages 141-151, doi: 10.1007/978-3-030-04161-8_10

Sang Kwan Choi, Chaiho Rim, Hwajin Um
Narayana number, Chebyshev polynomial and Motzkin path on RNA abstract shapes
pages 153-166, doi: 10.1007/978-3-030-04161-8_11

Gyorgy Z. Feher, Alexandr Garbali, Jan de Gier, Kareljan Schoutens
A curious mapping between supersymmetric quantum chains
pages 167-184, doi: 10.1007/978-3-030-04161-8_12

Atsuo Kuniba
Remarks on An(1) face weights
pages 185-192, doi: 10.1007/978-3-030-04161-8_13

Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book

Camillo De Lellis, Guido De Philippis, Jonas Hirsch, Annalisa Massaccesi
Boundary regularity of mass-minimizing integral currents and a question of Almgren
pages 193-205, doi: 10.1007/978-3-030-04161-8_14

Jiakun Liu, Grégoire Loeper
Optimal transport with discrete mean field interaction
pages 207-212, doi: 10.1007/978-3-030-04161-8_15

James McCoy, Glen Wheeler, Yuhan Wu
A sixth order curvature flow of plane curves with boundary conditions
pages 213-221, doi: 10.1007/978-3-030-04161-8_16

Maria Michaela Porzio
Quasilinear parabolic and elliptic equations with singular potentials
pages 223-242, doi: 10.1007/978-3-030-04161-8_17

Medet Nursultanov, Julie Rowlett, David Sher
How to hear the corners of a drum
pages 243-278, doi: 10.1007/978-3-030-04161-8_18

Mathematics of Risk

Shota Gugushvili, Frank van der Meulen, Moritz Schauer, Peter Spreij
Nonparametric Bayesian volatility estimation
pages 279-302, doi: 10.1007/978-3-030-04161-8_19

Konstantin Borovkov, Zbigniew Palmowski
The exact asymptotics for hitting probability of a remote orthant by a multivariate Lévy process: the Cramér case
pages 303-309, doi: 10.1007/978-3-030-04161-8_20

Budhi A. Surya
Parisian excursion below a fixed level from the last record maximum of Lévy insurance risk process
pages 311-326, doi: 10.1007/978-3-030-04161-8_21

Tutte Centenary Retreat

Marston Conder
Simple group actions on arc-transitive graphs with prescribed transitive local action
pages 327-335, doi: 10.1007/978-3-030-04161-8_22

Nemanja Poznanović, Cheryl E. Praeger
Biquasiprimitive oriented graphs of valency four
pages 337-341, doi: 10.1007/978-3-030-04161-8_23

Graham Far, James Oxley
The contributions of W.T. Tutte to matroid theory
pages 343-361, doi: 10.1007/978-3-030-04161-8_24

Geometric R-Matrices: from Geometry to Probability

Gleb Koshevoy
Cluster decorated geometric crystals, generalized geometric RSK-correspondences, and Donaldson-Thomas transformations
pages 363-387, doi: 10.1007/978-3-030-04161-8_25

Other Contributed Articles

Computational Inverse Problems

Johnathan M. Bardsley
A Matrix Theoretic Derivation of the Kalman Filter
pages 505-513, doi: 10.1007/978-3-030-04161-8_44

Yuqin Ke, Tianhai Tian
Approximate Bayesian Computational methods for the inference of unknown parameters
pages 515-529, doi: 10.1007/978-3-030-04161-8_45

Hypergeometric Motives and Calabi−Yau Differential Equations

Frits Beukers
Fields of definition of finite hypergeometric functions

David Broadhurst, David P. Roberts
L-series and Feynman integrals

Eric Delaygue
Arithmetic properties of hypergeometric mirror maps and Dworks congruences

Sharon Frechette, Holly Swisher, Fang-Ting Tu
Appell-Lauricella hypergeometric functions over finite fields, and a new cubic transformation formula

Dermot McCarthy, Robert Osburn, Armin Straub
Sequences, modular forms and cellular integrals

Ling Long, Ravi Ramakrishna
Some supercongruences for truncated hypergeometric series

David P. Roberts
The explicit formula and a motivic splitting

David P. Roberts, Fernando Rodriguez Villegas
Hypergeometric supercongruences

Charles Doran, Tyler Kelly, Adriana Salerno, Steven Sperber, John Voight, Ursula Whitcher
Alternate mirror families and hypergeometric motives

Abdellah Sebbar
Schwarzian equations and equivariant functions

Jenny Fuselier, Ling Long, Ravi Ramakrishna, Holly Swisher, Fang-Ting Tu
Hypergeometric functions over finite fields

Ling Long, Fang-Ting Tu, Noriko Yui, Wadim Zudilin
Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds

Fernando Rodriguez Villegas
p-adic hypergeometrics

Masha Vlasenko
On p-adic unit-root formulas

John Voight
Triangular modular curves

Mark Watkins
Jacobi sums and Hecke Grossencharacters

Yifan Yang
Special values of hypergeometric functions and periods of CM elliptic curves

Duco van Straten
CY-operators and L-functions

Combinatorics, Statistical Mechanics, and Conformal Field Theory

Bernard Nienhuis, Kayed al Qasimi
The loop-weight changing operator in the completely packed loop model

Mathematics of Risk

Juri Hinz, Peter Taylor
A note on optimal double spending attacks

Qizhu Liang, Jie Xiong
Stochastic Maximum Principle on a Continuous-time Behavioral Portfolio Model

Yanhong Li, Zbigniew Palmowski, Chunming Zhao, Chunsheng Zhang
Number of claims and ruin time for a refracted risk process

Dan Wu, Lin Yee Hin, Nino Kordzakhia, Alexander Novikov
Numerical approximations to distributions of weighted Kolmogorov-Smirnov statistics via integral equations

Marie Kratz
Introduction to Extreme Value Theory. Applications to Risk Analysis & Management

Mikhail Zhitlukhin
Monotone Sharpe ratios and related measures of investment performance

Alexey Muravlev, Mikhail Zhitlukhin
A Bayesian sequential test for the drift of a fractional Brownian motion

Geometric R-Matrices: from Geometry to Probability

Yaping Yang, Gufang Zhao
How to sheafify an elliptic quantum group