Austin Eide

activity

20232025

collaborators

3 papers

math.PR2025

Direct Paths in the Temporal Hypercube

Austin Eide, Martijn Gösgens, Paweł Prałat

We consider the $n$ -dimensional random temporal hypercube, i.e., the $n$ -dimensional hypercube graph with its edges endowed with i.i.d. continuous random weights. We say that a ver…

math.PR2024

Concentration and central limit theorem for the averaging process on $Z^{d}$

Austin Eide

In the averaging process on a graph $G = (V, E)$ , a random mass distribution $η$ on $V$ is repeatedly updated via transformations of the form $η_{v}, η_{w} \mapsto (η_{v} + η_{w})/…

math.CO2023

Linear Colouring of Binomial Random Graphs

Austin Eide, Paweł Prałat

We investigate the linear chromatic number $χ_{lin} (G (n, p))$ of the binomial random graph $G (n, p)$ on $n$ vertices in which each edge appears independently with probability…

Direct Paths in the Temporal Hypercube

Concentration and central limit theorem for the averaging process on Zd

Linear Colouring of Binomial Random Graphs

Concentration and central limit theorem for the averaging process on $Z^{d}$