Krystal Taylor

collaborators

3 papers

math.CA2025

Interior of distance trees over thin Cantor sets

Yeonwook Jung, Krystal Taylor

It is known that if a compact set $E$ in $R^{d}$ has Hausdorff dimension greater than $(d + 1) /2$ , then its $n$ -chain distance set $$Δ^n(E) = \left\{\left(\left|x^1-x^2\right|…

math.NT2025

Counting Lattice Points near Korányi Spheres via Generalized Radon Transforms

Rajula Srivastava, Krystal Taylor

In this note, we study a lattice point counting problem for spheres in Heisenberg groups, incorporating both the non-isotropic dilation structure and the non-commutative group law.…

math.CA2025

Point configurations in sets of sufficient topological structure and a topological {E}rdős similarity conjecture

Alex McDonald, Krystal Taylor

We explore the occurrence of point configurations within non-meager (second category) Baire sets. A celebrated result of Steinhaus asserts that $A + B$ and $A - B$ contain an interval…