M. Tiba

activity

20102025

most citedThe Erdős-Selfridge problem with square-free moduli

4 citations · 14 across the 23 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023

Sharp quantitative stability of the Brunn-Minkowski inequality

Alessio Figalli, Peter van Hintum, Marius Tiba

The Brunn-Minkowski inequality states that for bounded measurable sets $A$ and $B$ in $R^{n}$ , we have $∣ A + B ∣^{1/ n} \geq ∣ A ∣^{1/ n} + ∣ B ∣^{1/ n}$ . Also, equality holds if and on…

math.FA2023

Random Translates in Minkowski Sums

Paul Balister, Bela Bollobas, Imre Leader +1

Suppose that $A$ and $B$ are sets in $R^{d}$ , and we form the sumset of $A$ with $n$ random points of $B$ . Given the volumes of $A$ and $B$ , how should we choose them to min…

math.CO2023★ 1 cited

On Ruzsa's discrete Brunn-Minkowski conjecture

Peter van Hintum, Peter Keevash, Marius Tiba

We prove a conjecture by Ruzsa from 2006 on a discrete version of the Brunn-Minkowski inequality, stating that for any $A, B \subset Z^{k}$ and $ε > 0$ with $B$ not contained in…