Abstract for the talk at 07.03.2014 (11:00 h)Ergodic Theory & Operator Algebras Seminar
Hoang Duc Luu (Technische Universität Dresden)
Metric entropy for finite time dynamics
We introduce a new concept of finite time entropy which is a local version of the classical concept of metric entropy. Based on that, a finite time version of Pesin's entropy formula and also an explicit formula of finite time entropy for 2-D systems are derived. We also discuss about how to apply the finite time entropy field to detect special dynamical structures such as Lagrangian coherent structures.