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Seminar

Semiclassical analysis and mixing October 01, 2025 (10:00 AM PDT - 11:00 AM PDT)
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Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Patrick Flynn (University of California, Los Angeles)
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Keywords and Mathematics Subject Classification (MSC)
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Secondary Mathematics Subject Classification No Secondary AMS MSC
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Semiclassical analysis and mixing

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Ergodic mixing is an example of time irreversible phenomena emerging from a time reversible system. In a work by Faure, Roy and Sjöstrand, they discovered ergodic mixing of uniformly hyperbolic systems can be understood using the theory of semiclassical analysis and pseudodifferential operators. In this talk, I will give a short overview of this theory. I will end the talk discussing my own recent work (with Bedrossian and Punshon-Smith) adapting this theory to random dynamical systems, with applications to turbulence.

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Semiclassical analysis and mixing