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

Time: Thu 2022-05-19 13.00

Location: Zoom

Lecturer: 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.