17 citations · 72 across the 27 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…
On generalized trigonometric functions and series of rational functions
Han Yu
Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associat…
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…