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math.PR2024
Only long edges can erase the subcritical annulus-crossing phase of weight-dependent random connection models
Emmanuel Jacob
This short note aims at complementing the results of the recent work arXiv:2302.05396, where Jahnel and Lüchtrath investigate the question of existence of a subcritical percolatio…
math.PR2024
Targeted Immunisation Thresholds for the Contact Process on Power-Law Trees
John Fernley, Emmanuel Jacob
Scale-free configuration models are intimately connected to power law Galton-Watson trees. It is known that contact process epidemics can propagate on these trees and therefore the…