4 citations · 14 across the 23 of their papers we have counts for
6 papers · 1 filter
Sharp quantitative stability of the planar Brunn-Minkowski inequality
Peter van Hintum, Hunter Spink, Marius Tiba
We prove a sharp stability result for the Brunn-Minkowski inequality for . Assuming that the Brunn-Minkowski deficit $δ=|A+B|^{\frac{1}{2}}/(|A|^\frac12+|B|…
Flat Littlewood Polynomials Exist
Paul Balister, Béla Bollobás, Robert Morris +2
We show that there exist absolute constants such that, for all , there exists a polynomial of degree , with coefficients, such that $$δ\sqrt…
Sharp Stability of Brunn-Minkowski for Homothetic Regions
Peter van Hintum, Hunter Spink, Marius Tiba
We prove a sharp stability result concerning how close homothetic sets attaining near-equality in the Brunn-Minkowski inequality are to being convex. In particular, resolving a con…
Multicolour chain avoidance in the boolean lattice
Hunter Spink, Marius Tiba
Given a collection of colored chain posets, we estimate the number of colored subsets of the boolean lattice which avoid all chains in the collection.
The structure and number of Erdős covering systems
Paul Balister, Béla Bollobás, Robert Morris +2
Introduced by Erdős in 1950, a covering system of the integers is a finite collection of arithmetic progressions whose union is the set . Many beautiful questions and c…
The Erdős-Selfridge problem with square-free moduli
Paul Balister, Béla Bollobás, Robert Morris +2
A covering system is a finite collection of arithmetic progressions whose union is the set of integers. The study of covering systems with distinct moduli was initiated by Erdős in…