Title: Properties of Quasi-Assouad dimension,
Abstract: It is shown that for controlled Moran constructions in $\mathbb{R}$,
including the (sub) self-similar and more generally, (sub) self-conformal sets,
the quasi-Assouad dimension coincides with the upper box dimension. This can be
extended to some special classes of self-similar sets in higher dimensions. The
connections between quasi-Assouad dimension and tangents are studied. We show
that sets with decreasing gaps have quasi-Assouad dimension $0$ or $1$ and we
exhibit an example of a set in the plane whose quasi-Assouad dimension is
smaller than that of its projection onto the $x$-axis, showing that
quasi-Assouad dimension may increase under Lipschitz mappings.