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