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Dufloux, L. Isr. J. Math. (2018) 223: 399. https://doi.org/10.1007/s11856-017-1622-8 Projections of Patterson-Sullivan measures and the dichotomy of Mohammadi-Oh |
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| Author: | Dufloux, Laurent1 |
| Organizations: |
1Department of Mathematical Sciences, University of Oulu FI-90014, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.2 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe201804176580 |
| Language: | English |
| Published: |
Springer Nature,
2018
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| Publish Date: | 2018-11-30 |
| Description: |
AbstractLet 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. see all
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| Series: |
Israel journal of mathematics |
| ISSN: | 0021-2172 |
| ISSN-E: | 1565-8511 |
| ISSN-L: | 0021-2172 |
| Volume: | 223 |
| Issue: | 1 |
| Pages: | 399 - 421 |
| DOI: | 10.1007/s11856-017-1622-8 |
| OADOI: | https://oadoi.org/10.1007/s11856-017-1622-8 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
Centre of Excellence in Analysis and Dynamics Research funded by the Academy of Finland. |
| Copyright information: |
© 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. |