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