Assouad dimension of planar self-affine sets

ABSTRACT: We consider planar self-affine sets X satisfying the strong separation condition and the projection condition. We show that any two points of X, which are generic with respect to a self-affine measure having simple Lyapunov spectrum, share the same collection of tangent sets. We also calculate the Assouad dimension of X. Finally, we prove that if X is dominated, then it is minimal for the conformal Assouad dimension. The talk is based on joint work with Balázs Bárány and Eino Rossi.

Date: May 13, 2019 at 14:30:00 h
Venue: Sala 1, PUC, Facultad de Matemáticas, Av. Vicuña Mackenna 4860, Macul, La Florida SPEAKER Carolina Canales (PUC)
Speaker: Antti Käenmäki
Affiliation: University of Jyväskylä, Finland
Coordinator: Prof: Italo Cipriano
Abstract:
PDF

Posted on May 10, 2019 in Dynamical Systems, Seminars