Ruelle resonances on hyperbolic surfaces
Oberseminar Analysis und Theoretische Physik, 09.01.2018
Ruelle resonances have their origin in the study of chaotic dynamical systems. They were originally introduced by David Ruelle in the 70s to study the convergence to equilibrium. During the last years a new spectral theoretic approach to Ruelle resonances has been developed and thanks to these new techniques Ruelle resonances became an interesting object in spectral geometry and topology.
In a first part of this talk we introduce the notion of Ruelle resonances for dynamical systems and their implications for the decay of correlations. We will in particular focus on the modern spectral theoretical approach and explain how Ruelle resonances are related to poles of meromorphically continued resolvents. In the rest of the talk we will present recent results on the Ruelle spectrum on hyperbolic surfaces or more generally locally symmetric spaces.
Jun.-Prof. Dr. Tobias Weich
Institut für Analysis
15:00 o'clock - 17:00 o'clock