报告题目:Complexity of Anosov systems driven by a quasi-periodic forcing
报告人: 连增(四川大学,国家杰出青年基金获得者)
时间:2021年12月8日 19:00-20:00
腾讯会议:会议ID:508 524 532
摘要:Consider C2 Anosov systems on a compact manifold driven by a quasiperiodic forcing. We study their dynamical complexity on various levels from both perspectives of path-wise dynamics and stochastic processes. Assuming that these systems are non-wandering (i.e. every point in the phase space is non-wandering), we prove a set of results: (1) Existence of abundance of random periodic points; (2) A random Livsic Theorem; (3) A random Mane-Bousch-Conze-Guivarc’h Lemma; (4) The existence of strong random horseshoes.
邀请人:杨大伟