46 citations · 268 across the 58 of their papers we have counts for
4 papers · 2 filters
Assouad type spectra for some fractal families
Jonathan M. Fraser, Han Yu
In a previous paper we introduced a new `dimension spectrum', motivated by the Assouad dimension, designed to give precise information about the scaling structure and homogeneity o…
Arithmetic patches, weak tangents, and dimension
Jonathan M. Fraser, Han Yu
We investigate the relationships between several classical notions in arithmetic combinatorics and geometry including: the presence (or lack of) arithmetic progressions (or patches…
New dimension spectra: finer information on scaling and homogeneity
Jonathan M. Fraser, Han Yu
We introduce a new dimension spectrum motivated by the Assouad dimension; a familiar notion of dimension which, for a given metric space, returns the minimal exponent suc…
The Assouad dimension of self-affine carpets with no grid structure
Jonathan M. Fraser, Thomas Jordan
Previous study of the Assouad dimension of planar self-affine sets has relied heavily on the underlying IFS having a `grid structure', thus allowing for the use of approximate squa…