Add to ORKGWe establish an extension of the Hopf-Tsuji-Sullivan dichotomy to any Zariski dense discrete subgroup of a semisimple real algebraic group $G$. We then apply this dichotomy to Anosov subgroups of $G$, which surprisingly presents a different phenomenon depending on the rank of the ambient group $G$.Comment: 31 pages (to appear in Journal of Modern Dynamics
This survey is based on a series of lectures that we gave at MSRI in Spring 2015 and on a series of ...
We establish (some directions) of a Ledrappier correspondence between H\"older cocycles, Patterson-S...
We study the geometry and dynamics of discrete infinite covolume subgroups of higher rank semisimple...
Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $\Gamm...
Let $G=\prod_{i=1}^{r} G_i$ be a product of simple real algebraic groups of rank one and $\Gamma$ an...
We study infinite covolume discrete subgroups of higher rank semisimple Lie groups, motivated by und...
In this note we give an overview of some of our recent work on Anosov representations of di...
We extend several notions and results from the classical Patterson-Sullivan theory to the setting of...
© 2016, Springer Science+Business Media New York. In this note we give an overview of some of our re...
© 2017, Springer International Publishing AG. We study infinite covolume discrete subgroups of highe...
We prove a generalization of Gabrielov's rank theorem for families of rings of power series which we...
We propose several common extensions of the classes of Anosov subgroups and geometrically finite Kle...
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relati...
Chebyshev polynomials in one variable are typical chaotic maps on the complex 1-space. Chebyshev end...
We prove that for a self-injective ribbon Grothendieck-Verdier category $\mathcal{C}$ in the sense o...
This survey is based on a series of lectures that we gave at MSRI in Spring 2015 and on a series of ...
We establish (some directions) of a Ledrappier correspondence between H\"older cocycles, Patterson-S...
We study the geometry and dynamics of discrete infinite covolume subgroups of higher rank semisimple...
Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $\Gamm...
Let $G=\prod_{i=1}^{r} G_i$ be a product of simple real algebraic groups of rank one and $\Gamma$ an...
We study infinite covolume discrete subgroups of higher rank semisimple Lie groups, motivated by und...
In this note we give an overview of some of our recent work on Anosov representations of di...
We extend several notions and results from the classical Patterson-Sullivan theory to the setting of...
© 2016, Springer Science+Business Media New York. In this note we give an overview of some of our re...
© 2017, Springer International Publishing AG. We study infinite covolume discrete subgroups of highe...
We prove a generalization of Gabrielov's rank theorem for families of rings of power series which we...
We propose several common extensions of the classes of Anosov subgroups and geometrically finite Kle...
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relati...
Chebyshev polynomials in one variable are typical chaotic maps on the complex 1-space. Chebyshev end...
We prove that for a self-injective ribbon Grothendieck-Verdier category $\mathcal{C}$ in the sense o...
This survey is based on a series of lectures that we gave at MSRI in Spring 2015 and on a series of ...
We establish (some directions) of a Ledrappier correspondence between H\"older cocycles, Patterson-S...
We study the geometry and dynamics of discrete infinite covolume subgroups of higher rank semisimple...