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题  目:Ergodicity, mixing and KAM


报 告 人:Sergei Kuksin (Paris 7, France)


摘  要:To prove the ergodicity for Hamiltonian systems of big or infinite dimension is a notoriously complicated problem of high importance. But what we usually have in physics are not Hamiltonian systems, but systems of the form

     <Hamiltonian system> + <small dissipation> +<small random forcing>,

where the random forcing may be very degenerate (i.e. it affects only a few modes). For such systems an analogy of the ergodicity is called the mixing.

In my talk I will remind the definition of the mixing and explain how the KAM-theory provides a powerful tool to prove the mixing for the systems above.

The talk is based on a joint work with Armen Shirikyan and Vahagn Nersesyan, arXiv:1802.03250v2


时  间:  2018年9月21日(星期五)16:00–17:00


地  点:  蒙民伟楼1105


邀 请 人: 程伟 老师