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math.PR2025
The critical percolation window in growing random graphs
Joost Jorritsma, Pascal Maillard, Peter Mörters
We describe the critical window for percolation in the universality class of sparse growing random graphs. In our models, vertices arrive sequentially and connect independently to…
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…