3 problems

Let $F$ be the Bedford–McMullen carpet under consideration, and for $0\leq\theta\leq 1$ let $\underline{\dim}_{\theta}F$ and $\overline{\dim}_{\theta}F$ denote its lower and upper…

Let $s_r$ be the unique solution of … For the self-affine measure $\mu$ on the Bedford–McMullen carpet $E$, consider the two conditions: (a)…

Let $\mu$ be a Bernoulli measure supported on a Bedford–McMullen carpet, and let $X_\alpha^{\rm symb}$ be the set of points whose symbolic local dimension with respect to $\mu$ equ…