192
Compulsory

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Ergodic theory in concerned with the behavior of dynamic systems when these are running for a long time. Vaguely speaking, the long-term statistical behavior of an ergodic dynamical system is not going to depend on its initial condition. This course discusses the mathematical characterization of this property. A central role is going to be played by the so-called transfer operator, which describes the action of the dynamics on a distribution of states. We are also going to highlight its importance in applications, when it comes to the numerical approximation of quantities of interest.

The course can be given in German or English.

Ergodic theory in concerned with the behavior of dynamic systems when these are running for a long time. Vaguely speaking, the long-term statistical behavior of an ergodic dynamical system is not going to depend on its initial condition. This course discusses the mathematical characterization of this property. A central role is going to be played by the so-called transfer operator, which describes the action of the dynamics on a distribution of states. We are also going to highlight its importance in applications, when it comes to the numerical approximation of quantities of interest.

The course can be given in German or English.

Cross-language

192 341
Compulsory

Expectant Mother

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Partly dangerous
Alternative Course
Dangerous

Nursing Mother

Not dangerous
Partly dangerous
Alternative Course
Dangerous

AncillaryCourses

Ergodentheorie und Transferoperatoren

Expectant Mother

Not dangerous
Partly dangerous
Alternative Course
Dangerous

Nursing Mother

Not dangerous
Partly dangerous
Alternative Course
Dangerous