Wouter van Doorn

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20242026

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math.CO2026

Global Product Intersection Sets in Semigroups

Wouter van Doorn, Pietro Monticone, Quanyu Tang

For a family $(A_{q})_{q \in Q}$ of subsets of a semigroup, the product intersection set records those exponents $h \in N$ for which the $h$ -fold product set of the intersect…

math.CO2026

Optimal bounds for an ErdÅs problem on matching integers to distinct multiples

Wouter van Doorn, Yanyang Li, Quanyu Tang

Let $f (m)$ be the largest integer such that for every set $A = {a_{1} < \dots < a_{m}}$ of $m$ positive integers and every open interval $I$ of length $2 a_{m}$ , there exist at least $…

math.CO2024

On maximizing the number of heads when you need to set aside at least one coin every round

Wouter van Doorn

You play the following game: you start out with $n$ coins that all have probability $p$ to land heads. You toss all of them and you then need to set aside at least one of them, whi…

Global Product Intersection Sets in Semigroups

Optimal bounds for an ErdÅs problem on matching integers to distinct multiples

On maximizing the number of heads when you need to set aside at least one coin every round

Optimal bounds for an ErdÅs problem on matching integers to distinct multiples