Austin Eide

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20232025

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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})/…

Direct Paths in the Temporal Hypercube

Concentration and central limit theorem for the averaging process on Zd

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