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Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria)
The Guest Editors for this special issue are
The subject of difference equations stands at the frontier of pure and applied mathematics, and physics as well as theoretical biology. The theory of discrete equations related to integrability is an extremely rich field, related to algebra, analysis, complexity theory, “quantum geometry” (and quantum physics), algebraic geometry, and even number theory. The present special issue of SIGMA contains papers closely related to the main themes of the conference “Symmetry, Integrability and Difference Equations (SIDE-9)” which took place at the International House of Scientists “Frederic Joliot-Curie” (IHS) on the Black Sea coast near Varna, Bulgaria, June 14–18, 2010. SIDE-9 is the ninth in a series of biennial conferences devoted to Symmetries and Integrability of Difference Equations and related topics. These include ordinary and partial difference equations, analytic difference equations, orthogonal polynomials and special functions, symmetries and reductions, difference geometry, integrable discrete systems on graphs, integrable dynamical mappings, discrete Painlevé equations, singularity confinement, algebraic entropy, complexity and growth of multivalued mapping, representations of affine Weyl groups, quantum mappings and quantum field theory on the space-time lattice. The conference was organized by Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences and the Institute of Informatics and Mathematics, Bulgarian Academy of Sciences. It was sponsored and supported by European Science Foundation, National Science Foundation of Bulgaria, European Physical Society, International Center for Theoretical Physics (Trieste), European Mathematical Society. It is our pleasure to thank the above-mentioned institutions for their support. We refer to the conference web-page http://old.inrne.bas.bg/SIDE-9/ where one can find the list of participants, the titles and abstracts of their talks, and most of the presentations reported on the conference. We would like also to thank all authors for their contributions to this issue, and all referees for providing helpful and constructive reviews. Boyka L. Aneva, Vladimir S. Gerdjikov, Plamen Iliev, Vassilios G. Papageorgiou
Papers in this Issue:
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