Michael Jaber

activity

20242026

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2 papers · 1 filter

cs.DS2025

Linear Hashing Is Optimal

Michael Jaber, Vinayak M. Kumar, David Zuckerman

We prove that hashing $n$ balls into $n$ bins via a random matrix over $F_{2}$ yields expected maximum load $O (lo g n / lo g lo g n)$ . This matches the expected maximum load…

math.CO2025

Quasipolynomial bounds for the corners theorem

Michael Jaber, Yang P. Liu, Shachar Lovett +2

Let $G$ be a finite abelian group and $A$ be a subset of $G \times G$ which is corner--free, meaning that there are no $x, y \in G$ and $d \in G ∖ {0}$ such that $(x, y)$ …