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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 on vertices, where the connection probability satisfies $np = 1+θ(b_n^2/n)…
math.PR2023
Gelation in cluster coagulation processes
Luisa Andreis, Tejas Iyer, Elena Magnanini
We consider the problem of gelation in the cluster coagulation model introduced by Norris [\textit{Comm. Math. Phys.}, 209(2):407-435 (2000)], where pairs of clusters of types $(x,…