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Math Graduate Seminar

Tuesday, April 19, 2016
12:00pm to 1:00pm
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Spectral Theory of Dynamical Systems
Peter Burton, Graduate Student, Mathematics, Caltech,


Abstract: The Koopman operator is unitary operator canonically associated to a measure-preserving dynamical system. One of the central problems in classical ergodic theory is to understand which unitary operators can arise from measure-preserving dynamical systems. In particular, there has been extensive research on the possible spectral multiplicities of Koopman operators. We will discuss the main known results and some interesting open problems. 

For more information, please contact Mathematics Department by email at [email protected] or visit http://www.math.caltech.edu/~gradseminars/.