• Corpus ID: 244709505

# Uniqueness of conformal measures and local mixing for Anosov groups

@inproceedings{Edwards2021UniquenessOC,
title={Uniqueness of conformal measures and local mixing for Anosov groups},
author={Sam O. Edwards and Minju M. Lee and Hee Oh},
year={2021}
}
• Published 24 November 2021
• Mathematics
Abstract. In the late seventies, Sullivan showed that for a convex cocompact subgroup Γ of SO(n, 1) with critical exponent δ > 0, any Γ-conformal measure on ∂H of dimension δ is necessarily supported on the limit set Λ and that the conformal measure of dimension δ exists uniquely. We prove an analogue of this theorem for any Zariski dense Anosov subgroup Γ of a connected semisimple real algebraic group G of rank at most 3. We also obtain the local mixing for generalized BMS measures on Γ\G…
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