The Lq$L^q$ spectrum of self‐affine measures on sponges
The Lq$L^q$ spectrum of self‐affine measures on sponges
Abstract In this paper, a sponge in is the attractor of an iterated function system consisting of finitely many strictly contracting affine maps whose linear part is a diagonal matrix. A suitable separation condition is introduced under which a variational formula is proved for the spectrum of any self‐affine measure …