Mathematical Sciences: Simplicity of Lyapunov Spectrum

本研究将支持博士后研究员John Kao，他将与首席研究员Volker Wihstutz合作。他们将研究线性或线性化随机动力系统的李雅普诺夫谱的简单性的必要、充分和容易检验的Hoermander型条件。这些条件将在系统群的不可约性和可收缩性方面与已知条件联系起来。

This research will support the post doctoral investigator John Kao, who will work with the principal investigator, Volker Wihstutz. They will study necessary and sufficient and easy to check Hoermander type conditions for the simplicity of the Lyapunov spectrum of a linear or linearized stochastic dynamical system. These conditions will be related to the known conditions in terms of irreducibility and contractibility of the system group.