Abstract
We establish an extension of the Hopf–Tsuji–Sullivan dichotomy to any Zariski dense discrete subgroup of a semisimple real algebraic group G. We then apply this dichotomy to Anosov subgroups of G, which surprisingly presents a different phenomenon depending on the rank of the ambient group G.
| Original language | English |
|---|---|
| Pages (from-to) | 301-330 |
| Number of pages | 30 |
| Journal | Journal of Modern Dynamics |
| Volume | 19 |
| DOIs | |
| State | Published - 2023 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2023, American Institute of Mathematical Sciences. All rights reserved.
Keywords
- Anosov subgroups
- conformal measures
- conical limit points