Dynamics/Lowlands Seminar by Maximilian Engel (UvA/FU Berlin) on 27th of March

On Wednesday the 27th of March at 4pm, Maximilian Engel (UvA/FU Berlin) will give an Amsterdam Dynamics seminar.

This is a join talk between the Amsterdam Dynamics Seminar and the Lowlands Seminar. The talk will be hosted in Amsterdam and streamed to Hamburg; those who are in Amsterdam are welcome to join for drinks at Bar Boele after the talk.

The talk will take place in the Maryam seminar room (9A-46).

Title: An ergodic theory for conditioned random dynamical systems

Abstract: We will introduce the setting of random dynamical systems with absorption, as for example induced by iterated function systems or stochastic differential equations on a bounded domain with killing at the boundary. We will show how to embed the process conditioned to never being absorbed, the Q-process, into the framework of random dynamical systems, allowing us to study multiplicative ergodic properties and the notion of Kolmogorov-Sinai entropy. Finally, we will elaborate on the relation between entropy and Lyapunov exponents for this setting.