Jonathan Chapman

activity

20222026

collaborators

6 papers

math.DS2026

Sets of nice recurrence are partition regular

Jonathan Chapman

A set of positive integers $R$ is called a set of nice recurrence if for any measure preserving system $(X, μ, T)$ , for all measurable $A \subseteq X$ , and each $ε > 0$ , there…

math.NT2024

Additive Ramsey theory over Piatetski-Shapiro numbers

Jonathan Chapman, Sam Chow, Philippa Holdridge

We characterise partition regularity for linear equations over the Piatetski-Shapiro numbers $⌊ n^{c} ⌋$ when $1 < c < c^{†} (s)$ , where $s ⩾ 3$ is the number of var…

cs.LG2024

Reliable OOD Virtual Screening with Extrapolatory Pseudo-Label Matching

Yunni Qu, Bhargav Vaduri, Karthikeya Jatoth +6

Machine learning (ML) models are increasingly deployed for virtual screening in drug discovery, where the goal is to identify novel, chemically diverse scaffolds while minimizing e…

math.NT2024

Arithmetic Ramsey theory over the primes

Jonathan Chapman, Sam Chow

We study density and partition properties of polynomial equations in prime variables. We consider equations of the form $a_{1} h (x_{1}) + \dots + a_{s} h (x_{s}) = b$ , where the $a_{i}$ and $b$ …

math.CO2023

On the number of monochromatic solutions to multiplicative equations

Lucas Aragão, Jonathan Chapman, Miquel Ortega +1

The following question was asked by Prendiville: given an $r$ -colouring of the interval ${2, \dots, N}$ , what is the minimum number of monochromatic solutions of the equation $x…

math.NT2022

Generalised Rado and Roth criteria

Jonathan Chapman, Sam Chow

We study the Ramsey properties of equations $a_{1} P (x_{1}) + \dots + a_{s} P (x_{s}) = b$ , where $a_{1}, \dots, a_{s}, b$ are integers, and $P$ is an integer polynomial of degree $d$ . Provided th…