Add to ORKGLet $G$ be a connected semisimple real algebraic group, and $\Gamma<G$ be a Zariski dense Anosov subgroup with respect to a minimal parabolic subgroup. We describe the asymptotic behavior of matrix coefficients $\langle (\exp tv). f_1, f_2\rangle$ in $L^2(\Gamma\backslash G)$ as $t\to \infty$ for any $f_1, f_2\in C_c(\Gamma\backslash G)$ and any vector $v$ in the interior of the limit cone of $\Gamma$. These asymptotics involve higher rank analogues of Burger-Roblin measures which are introduced in this paper. As an application, for any affine symmetric subgroup $H$ of $G$, we obtain a bisector counting result for $\Gamma$-orbits with respect to the corresponding generalized Cartan decomposition of $G$. Moreover, we obtain analogues of the ...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
We conjecture that the set of homogeneous probability measures on the maximal Satake compactificatio...
Let $\Gamma_{g}$ be the fundamental group of a closed connected orientable surface of genus $g\geq2$...
Let $G$ be a connected semisimple real algebraic group and $\Gamma$ a Zariski dense Anosov subgroup ...
Let $G$ be a connected center-free simple real algebraic group of rank one and $\Gamma < G$ be a Zar...
Let G be a connected semisimple Lie group with finite center and without compact factors, P a minima...
We prove a generalization of the classical Klein-Maskit combination theorem, in the free product cas...
Let G be a connected semisimple Lie group with finite center and without compact factors, P a minima...
Let $\Gamma$ be an Anosov subgroup of a connected semisimple real linear Lie group $G$. For a maxima...
We study the antipodal subsets of the full flag manifolds $\mathcal{F}(\mathbb{R}^d)$. As a conseque...
Let G be a connected semisimple Lie group with finite center and without compact factors, P a minima...
We provide characterizations of Anosov representations of word hyperbolic groups into real semisimpl...
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...
Let X be a symmetric space of noncompact type, and let Γ be a lattice in the isometry group of X. We...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
We conjecture that the set of homogeneous probability measures on the maximal Satake compactificatio...
Let $\Gamma_{g}$ be the fundamental group of a closed connected orientable surface of genus $g\geq2$...
Let $G$ be a connected semisimple real algebraic group and $\Gamma$ a Zariski dense Anosov subgroup ...
Let $G$ be a connected center-free simple real algebraic group of rank one and $\Gamma < G$ be a Zar...
Let G be a connected semisimple Lie group with finite center and without compact factors, P a minima...
We prove a generalization of the classical Klein-Maskit combination theorem, in the free product cas...
Let G be a connected semisimple Lie group with finite center and without compact factors, P a minima...
Let $\Gamma$ be an Anosov subgroup of a connected semisimple real linear Lie group $G$. For a maxima...
We study the antipodal subsets of the full flag manifolds $\mathcal{F}(\mathbb{R}^d)$. As a conseque...
Let G be a connected semisimple Lie group with finite center and without compact factors, P a minima...
We provide characterizations of Anosov representations of word hyperbolic groups into real semisimpl...
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...
Let X be a symmetric space of noncompact type, and let Γ be a lattice in the isometry group of X. We...
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimp...
We conjecture that the set of homogeneous probability measures on the maximal Satake compactificatio...
Let $\Gamma_{g}$ be the fundamental group of a closed connected orientable surface of genus $g\geq2$...