Dimension gap and variational principle for Anosov representations

Ledrappier, François - Lessa Echeverriarza, Pablo

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.

Detalles Bibliográficos
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)