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Taipei Postdoc Seminar
 
11:00 - 12:30, May 31, 2017 (Wednesday)
Room 202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
An Introductory on Discrete Versions of Painlevé Equations
Hsiao-Fan Liu (Institute of Mathematics, Academia Sinica)

Abstract

The six Painlev\’e equations play an important role in many areas of mathematics and physics, and the connection with integrable systems has been well-established. Recently, discrete integrable systems have gained more attention and hence it is natural to consider discrete versions of Painlevé equations. In this talk, we will present discrete forms of the , and . These mappings go over to the Painlev\’e equations in the continuous limit. The singularity confinement test as a discrete analogue of the Painlevé property will be also discussed.



 

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