Chang-Pao Chen

activity

20132023

most citedLocally rich compact sets

6 citations · 40 across the 25 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CA2015★ 1 cited

Intersection properties of typical compact sets

Changhao Chen

We prove that a typical compact set does not contain any similar copy of a given pattern. We also prove that a typical compact set of $[0, 1]^{d} (d \geq 2)$ intersects any $(d - 1)$ -d…

math.PR2015

Fractal percolation, porosity, and dimension

Changhao Chen, Tuomo Ojala, Eino Rossi +1

We study the porosity properties of fractal percolation sets $E \subset R^{d}$ . Among other things, for all $0 < ε < \frac{1}{2}$ , we obtain dimension bounds for the set of…

math.CA2015

On thin carpets for doubling measures

Changhao Chen, Shengyou Wen

We study subsets of $R^{d}$ which are thin for doubling measures or isotropic doubling measures. We show that any subset of $R^{d}$ with Hausdorff dimension less than or equal to…