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Exponential Mixing Via Additive Combinatorics

Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025

March 04, 2025 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Osama Khalil (University of Illinois, Chicago)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Exponential Mixing Via Additive Combinatorics

Abstract

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We describe an approach to the problem of exponential mixing of geodesic flows by connecting it to the following general dichotomy: for a given measure on Euclidean space, either its Fourier transform decays polynomially outside a very sparse set of frequencies, or a large subset of the support concentrates near proper subspaces at many scales.

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Exponential Mixing Via Additive Combinatorics

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