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Dynamical systems (SF2704 Topics in mathematics I)

Tid: Ti 2015-09-01 kl 15.15

Plats: Room 3721

Medverkande: Danijela Damjanovic

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In this course we will cover main notions in ergodic theory and dynamical systems theory such as ergodicity, mixing, entropy, stability. Special attention will be given to systems with chaotic properties, such as Anosov and more generally: partially hyperbolic systems. In the last third of the course we will discuss these notions for abelian actions (rather than diffeomorphisms and flows) through concrete examples, at which point I will go over some interesting open questions in this area of research. Students should have basic knowledge of measure and integration theory as a background for this course.