Exact dimension of Furstenberg measures
Resumen:
For a probability measure μ on SLd(R), we consider the Furstenberg stationary measure ν on the space of flags. Under general non-degeneracyconditions, if μ is discrete and if ∑g log ‖g‖ μ(g) < +∞, then the measure νis exact-dimensional.
| 2021 | |
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MATHEMATICS - DYNAMICAL SYSTEMS ERGODIC THEORY |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/44571 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | Versión permitida preprint. Publicado también en: Geometric and Functional Analysis, 2023, 33: 245–298. DOI: 10.1007/s00039-023-00631-0 |
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