Chang-Pao Chen

activity

20132023

most citedLocally rich compact sets

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

collaborators

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3 papers · 1 filter

math.CO2019★ 2 cited

Discretized sum-product for large sets

Changhao Chen

Let $A \subset [1, 2]$ be a $(δ, σ)$ -set with measure $∣ A ∣ = δ^{1 - σ}$ in the sense of Katz and Tao. For $σ \in (1/2, 1)$ we show that $∣ A + A ∣ + ∣ AA ∣ ⪆ δ^{- c} ∣ A ∣,$ for $c=\frac…

math.CO2018★ 2 cited

A new sum-product estimate in prime fields

Changhao Chen, Bryce Kerr, Ali Mohammadi

In this paper we obtain a new sum-product estimate in prime fields. In particular, we show that if $A \subseteq F_{p}$ satisfies $∣ A ∣ \leq p^{64/117}$ then $$ \max\{|A\pm A|, |…

math.CO2018

Threshold functions for substructures in random subsets of finite vector spaces

Changhao Chen, Catherine Greenhill

The study of substructures in random objects has a long history, beginning with Erdős and Rényi's work on subgraphs of random graphs. We study the existence of certain substructure…