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math.PR2024
Normal to Poisson phase transition for subgraph counting in the random-connection model
Qingwei Liu, Nicolas Privault
We consider the limiting behavior of the count of subgraphs isomorphic to a graph with fixed endpoints (or roots) in the random-connection model, as the intensity …
math.CA2024
On the random generation of Butcher trees
Qiao Huang, Nicolas Privault
The main goal of this paper is to provide an algorithm for the random sampling of Butcher trees and the probabilistic numerical solution of ordinary differential equations (ODEs).…