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Texas Tech University
Suddhasattwa Das

Smooth Koopman eigenfunctions - IISuddhasattwa Das - Department of Mathematics & Statistics, Texas Tech University

Date:
Monday, Oct. 19
4:00 PM—5:00 PM
Location:
MATH 111
Website:
Speaker Website (opens in a new tab)

Smooth Koopman eigenfunctions - IISuddhasattwa Das - Department of Mathematics & Statistics, Texas Tech University

Rokhlin's skew product theorem proves a surprising result that if an ergodic measure preserving dynamical system X can be quotiented into another measure preserving dynamical system Y, then the dynamics on X can be expressed as a skew product in which the dynamics of Y drives the dynamics restricted to each fibre of the quotient map. This talk will present a $C^2$ version of this result. Some connections with properties of mixing and spectrum will also be discussed.