The stability theorem of Lyapunov asserts that, under an additional regularity condition, the stability of the trivial solution of a linear equation remains valid for nonlinear perturbations. The regularity condition of Lyapunov essentially means that a certain limits exist. Such limits are called characteristic exponents or Lyapunov exponents. In this talk we are going to introduce the concept of linear cocycles, and present the theorem of Furstenberg-Kesten which guarantees the existence of (extremal) Lyapunov exponents. Moreover, we are going to present the multiplicative ergodic theorem of Oseledets, and introduce some results regarding the invariant principle and continuity problem.

To get the access link, register at
https://forms.gle/3AbXZeCucKWCuumR7
by the day before the event.