# Serge Troubetzkoy: Dynamical properties of generic Lebesgue preserving maps in dimension 1

**Time: **
Thu 2022-05-19 13.00

**Location: **
Zoom https://kth-se.zoom.us/j/61173989405

**Participating: **
Serge Troubetzkoy

**Abstract:**In this talk, based on joint work with Bobok, Cinc and Oprocha, I will discuss selected properties of generic continuous maps of the interval and circle which preserve the Lebesgue measure. I will focus on a few natural properties such as entropy, structure of periodic points, mixing properties, shadowing properties, etc. I will also highlight the properties of generic maps compared to other possible dynamical behaviors within maps preserving Lebesgue measure.