  The local dimension spectrum gives a way to quantify fractal properties of a
given measure. It is well understood for self-similar measures without
overlaps. In this article we study the local dimension spectrum for dominated
self-affine measures. Our main results completely characterize the behavior of
the symbolic spectrum, and after detailed analysis on the exact dimensionality
of self-affine measures we exhibit new deterministic results for the local
dimension spectrum on a much wider range than was previously understood.
