Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Evolution Equations, Exactly Solvable Models and Random Matrices in honor of Alexander Its' 70th birthday

The Guest Editors for this special issue are

Thomas Bothner (University of Bristol, UK)
Tamara Grava (University of Bristol, UK)
Ken McLaughlin (Tulane University, New Orleans, USA)
Andrei Prokhorov (University of Michigan, Ann Arbor, USA)

This special issue is dedicated to the 70th birthday of Alexander Its and aims to honor his many groundbreaking contributions to the theory of integrable systems over the past 40 years. In particular, topics for this issue include:

  • nonlinear evolution equations, inverse scattering theory, unified transform method, algebro-geometric methods;
  • isomonodromy deformation method, tau functions, Painlevé equations;
  • exactly solvable models, quantum integrable systems, correlation functions, operator determinants;
  • random matrices, orthogonal polynomials, universality, interacting particle systems, beta-ensembles.
This issue is related to the conference in honor of Alexander's 70th birthday to be held at the University of Bristol, September 12–16, 2022.

There is no limit to the length of an article. Deadline for paper submission is December 31, 2023.

How to Submit an Article to the Issue.

All articles will go through the standard peer reviewing procedure of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. The reviewing process starts once the paper is submitted and we will publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.

Papers in this Issue:

Spherical Induced Ensembles with Symplectic Symmetry
Sung-Soo Byun and Peter J. Forrester
SIGMA 19 (2023), 033, 28 pages   [ abs   pdf ]
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy
Thomas Chouteau and Sofia Tarricone
SIGMA 19 (2023), 030, 30 pages   [ abs   pdf ]
Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials
Sergey Berezin, Arno B.J. Kuijlaars and Iván Parra
SIGMA 19 (2023), 020, 18 pages   [ abs   pdf ]

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