ASSOUAD DIMENSION OF PLANAR SELF-AFFINE SETS

We calculate the Assouad dimension of a planar self-affine set X satisfying the strong separation condition and the projection condition and show that X is minimal for the conformal Assouad dimension. Furthermore, we see that such a self-affine set X adheres to very strong tangential regularity by showing that any two points of X, which are generic with respect to a selfaffine measure having simple Lyapunov spectrum, share the same collection of tangent sets.Peer reviewe