6 citations · 25 across the 13 of their papers we have counts for
14 papers
Monochromatic Sums and Products over
Ryan Alweiss
Hindman's finite sums theorem states that in any finite coloring of the naturals, there is an infinite sequence so that all of its finite subset sums are the same color. In 1979, H…
Improved Lower Bound for Frankl's Union-Closed Sets Conjecture
Ryan Alweiss, Brice Huang, Mark Sellke
We verify an explicit inequality conjectured recently by Gilmer, thus proving that for any nonempty union-closed family , some is contained in at le…
Monochromatic Sums and Products of Polynomials
Ryan Alweiss
We show that the pattern is partition regular over the space of formal integer polynomials of degree at least one with zero constant term, with primitive recursive b…
Arithmetic Progressions in Sumsets of Sparse Sets
Noga Alon, Ryan Alweiss, Yang P. Liu +2
A set of positive integers is \emph{log-sparse} if there is an absolute constant so that for any positive integer the sequence contains at most…
On a Question of Gowers on Clique Differences
Ryan Alweiss
We solve a question of Gowers from 2009 on clique differences in chains, thus ruling out any Sperner-type proof of the polynomial density Hales-Jewett theorem for alphabets of size…
Discrepancy Minimization via a Self-Balancing Walk
Ryan Alweiss, Yang P. Liu, Mehtaab Sawhney
We study discrepancy minimization for vectors in under various settings. The main result is the analysis of a new simple random process in multiple dimensions throug…