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- W3048385904 abstract "Abstract Let $Gamma $ be a Zariski dense Anosov subgroup of a connected semisimple real algebraic group $G$. For a maximal horospherical subgroup $N$ of $G$, we show that the space of all non-trivial $NM$-invariant ergodic and $A$-quasi-invariant Radon measures on $Gamma backslash G$, up to proportionality, is homeomorphic to ${mathbb {R}}^{text {rank},G-1}$, where $A$ is a maximal real split torus and $M$ is a maximal compact subgroup that normalizes $N$. One of the main ingredients is to establish the $NM$-ergodicity of all Burger–Roblin measures." @default.
- W3048385904 created "2020-08-18" @default.
- W3048385904 creator A5054801365 @default.
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- W3048385904 date "2022-10-04" @default.
- W3048385904 modified "2023-10-10" @default.
- W3048385904 title "Invariant Measures for Horospherical Actions and Anosov Groups" @default.
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- W3048385904 doi "https://doi.org/10.1093/imrn/rnac262" @default.
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