Minju Lee - 2/2 Horospherically Invariant Measures and a Rank Dichotomy for Anosov Groups 🔎🔍
🎞️ · 22.06.2023 · 18:56:51 ··· Donnerstag ⭐ 0 🎬 0
📺Institut des Hautes Etudes Scientifiques (IHES)
🎬 · 22.06.2023 · 18:56:51 ··· Donnerstag
😎 · 03.07.2024 · 15:40:29 ··· MiTTwoch
Let $G$ be a product of simple real algebraic groups of rank one and $\Gamma$ be a Zariski dense and Anosov subgroup with respect to a minimal parabolic subgroup $P$. Let $N$ be the unipotent radical of $P$. For each direction $u$ in the interior of Weyl chamber, we show that there exists at most one $N$-invariant measure in $\Gamma\backslash G$ which is supported on the forward recurrent subset for the $\exp(tu)$-action. This can be viewed as a generalization of the unique ergodicity result for the horospherical action due to Furstenberg, Burger, Roblin and Winter for $\Gamma$ convex cocompact. This is joint work with Or Landesberg, Elon Lindenstrauss and Hee Oh.
Minju Lee (University of CHICAGO)
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· 22.06.2023 · 18:56:51 ··· Donnerstag
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