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

Dufloux, Laurent (2017-11-30)
 
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https://doi.org/10.1007/s11856-017-1622-8

Dufloux, Laurent
Springer Nature
30.11.2017

Dufloux, L. Isr. J. Math. (2018) 223: 399. https://doi.org/10.1007/s11856-017-1622-8

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© Hebrew University of Jerusalem 2018. This is a post-peer-review, pre-copyedit version of an article published in Israel Journal of Mathematics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11856-017-1622-8.
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doi:https://doi.org/10.1007/s11856-017-1622-8
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https://urn.fi/URN:NBN:fi-fe201804176580
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Abstract

Let Γ be some discrete subgroup of SO°(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°(n+1, R) = KAN. We also study the dimension of projected Patterson-Sullivan measures along some fixed direction.

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