Projections of Patterson-Sullivan measures and the Mohammadi-Oh dichotomy

2016/05/06 by Dufloux, Laurent
#28A80 #37C45 #37D40 #53D25 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.02100

Abstract

Let Γ be some discrete subgroup of SO^o(n+1,R) with finite Bowen-Margulis-Sullivan measure. We study the dynamics of the Bowen-Margulis-Sullivan measure with respect to closed connected subspaces of the N component in some Iwasawa decomposition SO^o(n+1,R)=KAN. We also study the dimension of projected Patterson-Sullivan measures along some fixed small circle.

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