Reductions of DIS. Discrete Painlevé equations and Painlevé correspondences
Seminar Room 1, Newton Institute
AbstractWith many of difference equations one can associate a superior discrete integrable system closely related to Yang-Baxter maps. This association turns out to be helpful in understanding some correspondences (multivalued recurrences) that are consistent-around-the-cube. Moreover, the standard procedure of periodic reductions leads not only to Painlevé equations but also to their multivalued generalizations.
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