【摘 要】
：
I will describe the complex dynamics of solutions of the Painlevé equations in their space of initial values [5] in an asymptotic limit.This talk focusses on a
【机 构】
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SchoolofMathematicsandStatistics,TheUniversityofSydney,Australia
【出 处】
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International Conference on Orthogonal Polynomials,Integrabl
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I will describe the complex dynamics of solutions of the Painlevé equations in their space of initial values [5] in an asymptotic limit.This talk focusses on a geometric approach to describing their asymptotic properties,which was initiated in collaboration with Duistermaat [1].I will review results obtained so far for the Painlevé equations [1,2] before explaining extensions of this approach to discrete Painlevé equations,including a q-Painlevé equation [3,4].In particular,I will focus on finding properties of solutions that cannot be expressed in terms of earlier known functions.
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