Predavatelj: Piotr Oprocha

Povzetek: In 1970s Bowen related hyperbolic dynamics with specification property and used this to show that there exists a unique measure of maximal entropy. Almost the same time Sigmund used specification property as a tool in characterization of simplex of invariant measures. Since then, these results were inspiration for numerous mathematicians in various studies of dynamics. Several relations between entropy, structure of the space of invariant measures and historical behavior of trajectories were discovered. In this talk we will present selected questions and results inspired by the above framework of research, with shadowing property as main tool in our considerations.

Opomba: predavanje bo izjemoma v ponedeljek 8. 4. 2024 ob 15:00 v predavalnici 0/46.1.

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