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Pavel Nikolaevich Pyatov
The Seminar on Analysis. Speaker: Sergei Kuksin
Two approaches to average stochastic perturbations of an integrable system
Abstract: The two approaches, mentioned in the title, are: write the perturbed equation in the action-angle variables and then average the obtained fast/slow system, or alternatively, inspired by the Krylov--Bogolyubov work, reduce the task to averaging of a "suitably guessed" auxiliary system in the original space, with fast rotating coefficients. I will explain that the second approach has significant advantages compare to the first. The talk is based on a joint work with Huang Guan and Andrey Piatnitski.
YouTube: http://www.youtube.com/@mathematicsathse1021
Date
October 20 18:00
Address
Faculty of Mathematics, room 108 + online (link upon request)
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