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20162026
most citedStructures in supercritical scale-free percolation

26 citations · 60 across the 12 of their papers we have counts for

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10 papers · 1 filter

math.PR2026

History estimation in random recursive trees: Pointwise approach via iterated Jordan centralities

Johannes Bäumler, Simon Briend, Joost Jorritsma

We study the problem of estimating the arrival times of vertices in a uniform random recursive tree from its unlabeled structure. We adopt a pointwise perspective and analyze the d…

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

An elementary proof of the bunkbed conjecture for forests

Serte Donderwinkel, Joost Jorritsma, Guillem Perarnau

Although false for general graphs, this note gives an elementary proof of the bunkbed conjecture for any acyclic graph. The argument is short and self-contained, and may be of educ…

math.PR2024

Large deviations of the giant component in scale-free inhomogeneous random graphs

Joost Jorritsma, Bert Zwart

We study large deviations of the size of the largest connected component in a general class of inhomogeneous random graphs with iid weights, parametrized so that the degree distrib…

math.PR2024★ 3 cited

Large deviations of the giant in supercritical kernel-based spatial random graphs

Joost Jorritsma, Júlia Komjáthy, Dieter Mitsche

We study cluster sizes in supercritical -dimensional inhomogeneous percolation models with long-range edges -- such as long-range percolation -- and/or heavy-tailed degree distr…

math.PR2023★ 2 cited

Cluster-size decay in supercritical kernel-based spatial random graphs

Joost Jorritsma, Júlia Komjáthy, Dieter Mitsche

We consider a large class of spatially-embedded random graphs that includes among others long-range percolation, continuum scale-free percolation and the age-dependent random conne…

math.PR2023★ 4 cited

Cluster-size decay in supercritical long-range percolation

Joost Jorritsma, Júlia Komjáthy, Dieter Mitsche

We study the cluster-size distribution of supercritical long-range percolation on , where two vertices are connected by an edge with probability…

math.PR2020★ 3 cited

Distance evolutions in growing preferential attachment graphs

Joost Jorritsma, Júlia Komjáthy

We study the evolution of the graph distance and weighted distance between two fixed vertices in dynamically growing random graph models. More precisely, we consider preferential a…

math.PR2019★ 8 cited

Weighted distances in scale-free preferential attachment models

Joost Jorritsma, Júlia Komjáthy

We study three preferential attachment models where the parameters are such that the asymptotic degree distribution has infinite variance. Every edge is equipped with a non-negativ…

math.PR2016★ 26 cited

Structures in supercritical scale-free percolation

Markus Heydenreich, Tim Hulshof, Joost Jorritsma

Scale-free percolation is a percolation model on which can be used to model real-world networks. We prove bounds for the graph distance in the regime where vertices…