Dichotomy and Measures on Limit Sets of Anosov Groups
Dichotomy and Measures on Limit Sets of Anosov Groups
Abstract Let $G$ be a connected semisimple real algebraic group. For a Zariski dense Anosov subgroup $\Gamma <G$, we show that a $\Gamma $-conformal measure is supported on the limit set of $\Gamma $ if and only if its dimension is $\Gamma $-critical. This implies the uniqueness of a $\Gamma …