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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
The fewest-big-jumps principle and an application to random graphs
Céline Kerriou, Peter Mörters
We prove a large deviation principle for the sum of n independent heavy-tailed random variables, which are subject to a moving cut-off boundary at location n. Conditional on the su…
math.PR2024
Condensation in scale-free geometric graphs with excess edges
Remco van der Hofstad, Pim van der Hoorn, Céline Kerriou +2
We identify the upper large deviation probability for the number of edges in scale-free geometric random graph models as the space volume goes to infinity. Our result covers the mo…