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Reductions of DIS. Discrete Painlev equations and Painlev correspondences

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Discrete Integrable Systems

With 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 Painlev equations but also to their multivalued generalizations.

This talk is part of the Isaac Newton Institute Seminar Series series.

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