Pratyush Sarkar - Local Mixing of Diagonal Flows on Anosov Homogeneous Spaces 🔎🔍
🎞️ · 21.06.2023 · 17:49:43 ··· MiTTwoch ⭐ 0 🎬 0
📺Institut des Hautes Etudes Scientifiques (IHES)
🎬 · 21.06.2023 · 17:49:43 ··· MiTTwoch
😎 · 03.07.2024 · 15:40:29 ··· MiTTwoch
For convex cocompact (and more generally, geometrically finite) rank one locally symmetric spaces, Winter proved mixing of the frame flow with respect to the Bowen-Margulis-Sullivan measure. Mixing results in homogeneous dynamics have many applications in counting, equidistribution, and decay of matrix coefficients. For Anosov subgroups of higher rank Lie groups, the analogous Bowen-Margulis-Sullivan measures are infinite and one looks for local mixing. In a joint work with Michael Chow, we prove local mixing of one-parameter diagonal flows on Anosov homogeneous spaces, generalizing the result of Winter. We also discuss some applications including a recent result of Chow-Fromm regarding joint equidistribution of maximal flat cylinders and holonomies.
Pratyush Sarkar (UC San Diego)
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· 21.06.2023 · 17:49:43 ··· MiTTwoch
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