Add to ORKGLet $\Gamma$ be an Anosov subgroup of a connected semisimple real linear Lie 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 which normalizes $N$.Comment: 51 pages, 1 figur
We conjecture that the set of homogeneous probability measures on the maximal Satake compactificatio...
We propose several common extensions of the classes of Anosov subgroups and geometrically finite Kle...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...
Let $G$ be a connected semisimple real algebraic group and $\Gamma$ a Zariski dense Anosov subgroup ...
Let $G=\prod_{i=1}^{r} G_i$ be a product of simple real algebraic groups of rank one and $\Gamma$ an...
Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $\Gamm...
Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $\Gamm...
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relati...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
Let $G$ be a connected semisimple real algebraic group, and $\Gamma<G$ be a Zariski dense Anosov sub...
We investigate invariant ergodic measures for certain partially hyperbolic and Anosov actions of R ...
We prove analogues of some of the classical results in homogeneous dynamics in nonlinear setting. Le...
We provide characterizations of Anosov representations of word hyperbolic groups into real semisimpl...
We study the horocycle flow on the stratum of translation surfaces $\mathcal{H}(2)$. We show that th...
We conjecture that the set of homogeneous probability measures on the maximal Satake compactificatio...
We propose several common extensions of the classes of Anosov subgroups and geometrically finite Kle...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...
Let $G$ be a connected semisimple real algebraic group and $\Gamma$ a Zariski dense Anosov subgroup ...
Let $G=\prod_{i=1}^{r} G_i$ be a product of simple real algebraic groups of rank one and $\Gamma$ an...
Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $\Gamm...
Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $\Gamm...
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relati...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
Let $G$ be a connected semisimple real algebraic group, and $\Gamma<G$ be a Zariski dense Anosov sub...
We investigate invariant ergodic measures for certain partially hyperbolic and Anosov actions of R ...
We prove analogues of some of the classical results in homogeneous dynamics in nonlinear setting. Le...
We provide characterizations of Anosov representations of word hyperbolic groups into real semisimpl...
We study the horocycle flow on the stratum of translation surfaces $\mathcal{H}(2)$. We show that th...
We conjecture that the set of homogeneous probability measures on the maximal Satake compactificatio...
We propose several common extensions of the classes of Anosov subgroups and geometrically finite Kle...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...