Dimension gap and variational principle for Anosov representations
Resumen:
We consider a SL(d, R) representation of a finitely generated group Γ that is Zariski dense and k-Anosov for at least two values of k. We exhibit a gap for the Minkowski dimension of minimal sets for the action of Γ on flags spaces. The proof uses a variational principle for the action on partial flags.
| 2025 | |
|
ANOSOV REPRESENTATION MATHEMATICS - DYNAMICAL SYSTEMS HYPERBOLIC GROUPS AND NONPOSITIVELY CURVED GROUPS FRACTALS |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/54692 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
Resultados similares
-
On the geometry of positive cones in finitely generated groups
Autor(es):: Alonso, Juan
Fecha de publicación:: (2022) -
Quasi-isometric free group representations into SL_3(R)
Autor(es):: Carvajales, León
Fecha de publicación:: (2024) -
Orbifolds and Thurston maps
Autor(es):: Llavayol Alvariño, Sofía
Fecha de publicación:: (2024) -
Exact dimension of Furstenberg measures
Autor(es):: Ledrappier, François
Fecha de publicación:: (2021) -
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications
Autor(es):: Álvarez, Sebastien
Fecha de publicación:: (2022)