27 Apr 2006; Mat-Nat Faculty (UiTø), room U7=A152. Thursday 10:15-12:00

Martin Rypdal

"Decay of correlations in dynamical systems, thermodynamics and self-organized criticality".

The rate by which the autocorrelation functions of a system decay is an important characteristic widely used in physics and other sciences. In this series of talks I will consider the time correlations of chaotic dynamical systems and the space correlations in thermodynamics. This will be explained within the framework of the thermodynamic formalism developed by Ruelle and Bowen.

I will also present a method for extending the thermodynamic formalism to a class of cellular automata-like systems on infinite lattices. The latter has possible implications for the theory of self-organized criticality.