• 学术报告:MET, invariant cones and invariant splitting for random linear system in a separable Banach space

  • 发布时间:2015-11-13      访问次数:444
  • 报告题目:MET, invariant cones and invariant splitting for random linear system in a separable Banach space 

    报 告 人: 连增教授,四川大学

    时    间:2015年11月13日(周五)9:30 

    地    点:行健楼学术活动室I(K2-526)

    摘要:In this talk, I will report  a series of Krein-Rutman type Theorems with respect to co-invariant cone family with rank-k for linear random dynamical systems in a separable Banach space X, which present a (quasi)-equivalence relation between the measurably co-invariant cone family and the measurably dominated splitting ofX. Moreover, such (quasi)-equivalence relation turns out to be an equivalence relation whenever (i) k = 1; or (ii) in the frame of the Multiplicative Ergodic Theorem with certain Lyapunov exponent being greater than the negative infinity. For the second case, we thoroughly investigated the relations between the Lyapunov exponents, the co-invariant cone family and the measurably dominated splitting for linear random dynamical systems in X