Oddelek za matematiko in računalništvo
Fakulteta za naravoslovje in matematiko
Univerza v Mariboru
Oddelek za matematiko
Inštitut za matematiko, fiziko in mehaniko
V A B I L O
Seminar iz topologije svoje delo nadaljuje v ponedeljek, 8. 4. 2024 ob 14.00 v predavalnici 0/46.1.
Predavala bosta
1. Serge Troubetzkoy (14.00-15.00)
Naslov predavanja: Polygonal billiards
Abstract: Polygonal billiards come in two classes; rational or irrational. There are strong tools (Teichmuller dynamics) to study billiards in rational polygons. On the other hand the only tools which researchers have used to study irrational polygons are elementary geometry, combinatorics, … The author will present a survey of the state of the art on polygonal billiards, with an emphasis on billiards in irrational polygons.
2. Piotr Oprocha (15.00-16.00)
Naslov predavanja: Shadowing property, entropy, invariant measures and irregularity
Abstract: 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.
Vljudno vabljeni!
Jernej Činč in Tina Sovič
