Matt Bowen

activity

20182026

most citedColored unavoidable patterns and balanceable graphs

9 citations · 16 across the 9 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.LO2022

The uniform Gardner conjecture and rounding Borel flows

Matthew Bowen, Gábor Kun, Marcin Sabok

We study groups which satisfy Gardner's equidecomposition conjecture for uniformly distributed sets. We prove that an amenable group has this property if and only if it does not ad…

math.CO2022★ 1 cited

One-ended spanning trees and definable combinatorics

Matthew Bowen, Antoine Poulin, Jenna Zomback

Let $(X, τ)$ be a Polish space with Borel probability measure $μ,$ and $G$ a locally finite one-ended Borel graph on $X .$ We show that $G$ admits a Borel one-ended spanning tree gen…

math.CO2022★ 2 cited

Monochromatic products and sums in the rationals

Matt Bowen, Marcin Sabok

We show that for every coloring of the rationals into finitely many colors, one of the colors contains a set of the form ${x, y, x y, x + y}$ for some nonzero $x$ and $y$ .

math.CO2022

Composite Ramsey theorems via trees

Matt Bowen

We prove a theorem ensuring that the compositions of certain Ramsey families are still Ramsey. As an application, we show that in any finite coloring of $N$ there is an in…

math.CO2022★ 1 cited

Monochromatic products and sums in $2$ -colorings of $N$

Matt Bowen

We show that any $2$ -coloring of $N$ contains infinitely many monochromatic sets of the form ${x, y, x y, x + y},$ and more generally monochromatic sets of the form $\{x_i,\pr…

The uniform Gardner conjecture and rounding Borel flows

One-ended spanning trees and definable combinatorics

Monochromatic products and sums in the rationals

Composite Ramsey theorems via trees

Monochromatic products and sums in 2-colorings of N

Monochromatic products and sums in $2$ -colorings of $N$