Exact dimension of Furstenberg measures

Ledrappier, François - Lessa Echeverriarza, Pablo

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.


Detalles Bibliográficos
2021
MATHEMATICS - DYNAMICAL SYSTEMS
ERGODIC THEORY
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)