Selection of issues, arguments of possible theses ...

Infinite ergodic theory: good introductions are provided by Isola (2011) and Zweimüller (2009). Possibility of theses (master level) for mathematically oriented students.

The epitome of chaos: Arnold’s cat maps represent a prominent and vastly investigated example of chaotic behavior, yet open problems still exist (one of them awaits for a daring master student).

Random walks: in connection with anomalous transport .. many open perspectives: from leapovers to Sparre Andersen to quenched disorder.

Large deviations in dynamical systems: and their relationships with other statistical properties.