Measurements in Dynamical Systems

Abstract: Very often a measurement of a physical system takes the form of a finite time average for some observable. For infinite time averages Birkhoff's theorem classifies all the possible outcomes in terms of the invariant measures of the system. The study of the, much more realistic, finite time averages is equivalent to investigating at which speed the limit is attained. This problem is only partially understood, essentially we understand few special cases. Yet, our current knowledge shows that the behaviour depends drastically from the properties of the system. In the study of such a problem functional analysis, probability theory, and geometry play major roles. I will attempt to give an overview of the subject.

This is a joint event with the mathematical colloquium at the University of Bremen

dynamical systems

Audience: researchers in the topic

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Bremen Online Dynamics Seminar

Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.

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