
Smooth Koopman eigenfunctions - IISuddhasattwa Das - Department of Mathematics & Statistics, Texas Tech University
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.
Department of Mathematics & Statistics
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Address
Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409-1042 -
Phone
806.742.2566 -
Email
math.dept@ttu.edu