2000 character limit reached
Planar self-affine sets with equal Hausdorff, box and affinity dimensions
Published 4 Mar 2015 in math.DS | (1503.01270v2)
Abstract: Using methods from ergodic theory along with properties of the Furstenberg measure we obtain conditions under which certain classes of plane self-affine sets have Hausdorff or box-counting dimensions equal to their affinity dimension. We exhibit some new specific classes of self-affine sets for which these dimensions are equal.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.