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Reductions of DIS. Discrete Painlevé equations and Painlevé correspondences

Nieszporski, M (Uniwersytet Warszawski)
Monday 08 July 2013, 15:30-16:00

Seminar Room 1, Newton Institute


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 Painlevé equations but also to their multivalued generalizations.


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