Louis Brown

collaborators

3 papers

math.CO2020

Sequences of well-distributed vertices on graphs and spectral bounds on optimal transport

Louis Brown

Given a graph $G = (V, E)$ , suppose we are interested in selecting a sequence of vertices $(x_{j})_{j = 1}^{n}$ such that ${x_{1}, \dots, x_{k}}$ is `well-distributed' uniformly in…

math.CA2019

On the Wasserstein Distance between Classical Sequences and the Lebesgue Measure

Louis Brown, Stefan Steinerberger

We discuss the classical problem of measuring the regularity of distribution of sets of $N$ points in $T^{d}$ . A recent line of investigation is to study the cost ( $=$ mass…

math.CA2019

Positive-definite Functions, Exponential Sums and the Greedy Algorithm: a curious Phenomenon

Louis Brown, Stefan Steinerberger

We describe a curious dynamical system that results in sequences of real numbers in $[0, 1]$ with seemingly remarkable properties. Let the function $f:\mathbb{T} \rightarrow \mathbb…