G. Bet

activity

20142026

most citedWeakly interacting oscillators on dense random graphs

20 citations · 65 across the 19 of their papers we have counts for

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Showing 2023 · math.PRShow all

2 papers · 2 filters

math.PR2023

An alternative approach to large deviations for the almost-critical Erdős-Rényi random graph

Luisa Andreis, Gianmarco Bet, Maxence Phalempin

We study the near-critical behavior of the sparse Erdős-Rényi random graph $G (n, p)$ on $n ≫ 1$ vertices, where the connection probability $p$ satisfies $np = 1+θ(b_n^2/n)…

math.PR2023

First-order asymptotics for the structure of the inhomogeneous random graph

Gianmarco Bet, Kay Bogerd, Vanessa Jacquier

In the inhomogeneous random graph model, each vertex $i \in {1, \dots, n}$ is assigned a weight $W_{i} \sim Unif (0, 1)$ , and an edge between any two vertices $i, j$ is present with…