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

Special Issue on Symmetries and Integrability of Difference Equations

The Guest Editors for this special issue are

Véronique Hussin (Université de Montréal, Canada)
Mourad Ismail (University of Central Florida, USA)
Decio Levi (Università degli Studi Roma Tre, Italy)
Zora Thomova (SUNY Polytechnic Institute, USA)
Pavel Winternitz (Université de Montréal, Canada)

Topics for this Special Issue will include:

  • discrete, continuous and ultradiscrete Painlevé equations;
  • orthogonal polynomials, special functions and their relation to discrete integrable systems and their elliptic analogs;
  • integrability criteria for single and multivariable difference equations and differential difference equations;
  • discrete differential geometry;
  • discrete integrable systems and isomonodromy transformations;
  • Yang–Baxter maps and quantum discrete integrable systems;
  • continuous symmetries of discrete equations;
  • structure preserving discretization of differential equations and numerical methods;
  • cluster algebras and discrete integrable systems;
  • dynamics on graphs and combinatorics;
  • difference Galois theory;
  • lattices and symmetries in physical applications.

The special issue is related to SIDE12 conference which was held at Le Chantecler, in SteAdèle, Québec, Canada (the Laurentian area near Montréal), from July 4, 2016 to July 9, 2016, under the same name as the proposed title of the issue. Participants in the conference SIDE12 and others whose work is concerned with the above topics, in particular participants in earlier SIDE meetings, are invited to submit papers to the special issue.

How to Submit an Article to the Issue.

For this issue both original research articles and review papers (not published or considered for publication elsewhere) are welcome and will be refereed according to the usual standards of SIGMA.

There is no limit to the length of an article. Deadline for paper submission is May 01, 2017.

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:

Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation
Hayato Chiba
SIGMA 13 (2017), 025, 27 pages   [ abs   pdf ]

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