|Tuesday 11 August 2020|
|Events for day: Tuesday 11 August 2020|
| 17:30 - 19:30 Geometry and Topology Seminar|
An introduction to Lyapunov exponents
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 regardin ...