Jeck Lim

activity

20202025

collaborators

6 papers

math.CO2025

On exponential Freiman dimension

Jeck Lim, Akshat Mudgal, Cosmin Pohoata +1

The exponential Freiman dimension of a finite set $A \subset R^{m}$ , introduced by Green and Tao in 2006, represents the largest positive integer $d$ for which $A$ contain…

math.CO2025

Balancing games on unbounded sets

Imre Bárány, Jeck Lim

For a finite set $V \subset R^{n}$ , a set $T \subset R^{n}$ is called $V$ -closed if $t \in T$ and $v \in V$ imply that either $t + v \in T$ or $t - v \in T$ . The set $P(V):=\…

math.CO2025

Sums of algebraic dilates

David Conlon, Jeck Lim

We show that if $λ_{1}, \dots, λ_{k}$ are algebraic numbers, then $∣ A + λ_{1} \cdot A + \dots + λ_{k} \cdot A ∣ \geq H (λ_{1}, \dots, λ_{k}) ∣ A ∣ - o (∣ A ∣)$ for all finite subsets $A$ of $C$ , where $…

math.CO2025

Evasive sets, twisted varieties, and container-clique trees

Jeck Lim, Jiaxi Nie, Ji Zeng

In the affine space $F_{q}^{n}$ over the finite field of order $q$ , a point set $S$ is said to be $(d, k, r)$ -evasive if the intersection between $S$ and any variety, of dimensi…

math.CO2024

Sums of dilates over groups of prime order

David Conlon, Jeck Lim

For $p$ prime, $A \subseteq Z / p Z$ and $λ \in Z$ , the sum of dilates $A + λ \cdot A$ is defined by \[A + λ\cdot A = \{a + λa' : a, a' \in A\}.\] The basic p…

math.CO2020

A generalisation of Seymour's second neighbourhood conjecture

Jeck Lim

In this note we propose a generalisation of Seymour's Second Neighbourhood Conjecture to two directed graphs on a vertex set. We prove that this generalisation holds in the case of…