Ariel Rapaport

activity

20122022

most citedDimension of ergodic measures projected onto self-similar sets with overlaps

12 citations · 30 across the 12 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.DS2015

On self-affine measures with equal Hausdorff and Lyapunov dimensions

Ariel Rapaport

Let $μ$ be a self-affine measure on $R^{d}$ associated to a self-affine IFS ${φ_{λ} (x) = A_{λ} x + v_{λ}}_{λ \in Λ}$ and a probability vector $p = (p_{λ})_{λ} > 0$ . Assume the strong sep…

math.DS2015

On the Hausdorff and packing measures of slices of dynamically defined sets

Ariel Rapaport

Let $1 \leq m < n$ be integers, and let $K \subset R^{n}$ be a self-similar set satisfying the strong separation condition, and with $dim K = s > m$ . We study the a.s. values of th…