2 papers
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…