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math.PR2025
Crossing probabilities in geometric inhomogeneous random graphs
Emmanuel Jacob, Céline Kerriou, Amitai Linker +1
In a geometric inhomogeneous random graph vertices are given by the points of a Poisson process and are equipped with independent weights following a heavy tailed distribution. Any…
math.PR2024
Local weak limit of dynamical inhomogeneous random graphs
Léo Dort, Emmanuel Jacob
We consider dynamical graphs, namely graphs that evolve over time, and investigate a notion of local weak convergence that extends naturally the usual Benjamini-Schramm local weak…
math.PR2024
Metastability of the contact process on slowly evolving scale-free networks
Emmanuel Jacob, Amitai Linker, Peter Mörters
We investigate the contact process on scale-free networks evolving by a stationary dynamics whereby each vertex independently updates its connections with a rate depending on its p…