Yeonwook Jung

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.CA2025

Fifty years of the Erdős similarity conjecture

Yeonwook Jung, Chun-Kit Lai, Yuveshen Mooroogen

Erdős similarity conjecture was proposed by P. Erdős in 1974. The conjecture remains open for exponentially decaying sequences as well as Cantor sets that have both Newhouse thickn…

math.MG2024

Interior of certain sums and continuous images of very thin Cantor sets

Yeonwook Jung, Chun-Kit Lai

We show that for all Cantor set $K_{1}$ on $R^{d}$ , it is always possible to find another Cantor set $K_{2}$ so that the sum $g (K_{1}) + K_{2}$ (where $g$ is a $C^{1}$ local diffeomor…