23 citations · 121 across the 26 of their papers we have counts for
4 papers · 1 filter
Avoiding short progressions in Euclidean Ramsey theory
Gabriel Currier, Kenneth Moore, Chi Hoi Yip
We provide a general framework to construct colorings avoiding short monochromatic arithmetic progressions in Euclidean Ramsey theory. Specifically, if denotes colline…
Mutual position of two smooth quadrics over finite fields
Shamil Asgarli, Chi Hoi Yip
Given two irreducible conics and over a finite field with odd, we show that there are points in such…
Positivity preservers over finite fields
Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1
We resolve an algebraic version of Schoenberg's celebrated theorem [Duke Math.J., 1942] characterizing entrywise matrix transforms that preserve positive definiteness. Compared to…
Any two-coloring of the plane contains monochromatic 3-term arithmetic progressions
Gabriel Currier, Kenneth Moore, Chi Hoi Yip
A conjecture of Erdős, Graham, Montgomery, Rothschild, Spencer and Straus states that, with the exception of equilateral triangles, any two-coloring of the plane will have a monoch…