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Rational solutions of Painleve equations. (English) Zbl 0496.58012

MSC:
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion
35P25 Scattering theory for PDEs
34A55 Inverse problems involving ordinary differential equations
37A30 Ergodic theorems, spectral theory, Markov operators
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