3 papers
math.CO2026
Asymptotics of the number of labelled connected sparse multitype graphs
Luisa Andreis, Mario Veshaj
We study the asymptotic enumeration of labelled connected multitype graphs in the sparse regime, where both the number of vertices and edges grow linearly and the excess is proport…
math.PR2025
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,…
math.PR2025
LDP for the covariance process in fully connected neural networks
Luisa Andreis, Federico Bassetti, Christian Hirsch
In this work, we study large deviation properties of the covariance process in fully connected Gaussian deep neural networks. More precisely, we establish a large deviation princip…