Invariant Radon measures for Unipotent flows and products of Kleinian groups
Dynamical Systems
2015-10-14 v1
Abstract
Let G=PSL(2, F) where F= R or C, and consider the space Z=(\Gamma_1 x \Gamma_2)\ (G x G) where \Gamma_1<G is a co-compact lattice and \Gamma_2<G is a finitely generated discrete Zariski dense subgroup. The work of Benoist-Quint gives a classification of all ergodic invariant Radon measures on Z for the diagonal G-action. In this paper, for a horospherical subgroup N of G, we classify all ergodic, conservative, invariant Radon measures on Z for the diagonal N-action, under the additional assumption that \Gamma_2 is geometrically finite.
Keywords
Cite
@article{arxiv.1510.03504,
title = {Invariant Radon measures for Unipotent flows and products of Kleinian groups},
author = {Amir Mohammadi and Hee Oh},
journal= {arXiv preprint arXiv:1510.03504},
year = {2015}
}
Comments
12 pages