Supercritical percolation on large scale-free random trees
type: Dataset
description: We consider Bernoulli bond percolation on a large scale-free tree in the supercritical regime, meaning informally that there exists a giant cluster with high probability. We obtain a weak limit theorem for the sizes of the next largest clusters, extending a recent result for large random recursive trees. The approach relies on the analysis of the asymptotic behavior of branching processes subject to rare neutral mutations, which may be of independent interest.
landing page: https://hal.science/hal-00763233
keyword: 60j27-60j80
keyword: infoeu-reposemanticspreprint
keyword: mathmath-prmathematics-mathprobability-mathpr
keyword: percolation
keyword: preferential-attachment
keyword: preprints-working-papers-
keyword: random-tree
issued: 2026-06-01T01:00:02.576038
modified: 2026-06-01T01:00:02.576046
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Supercritical percolation on large scale-free random trees
type: Distribution
format: HTML
access URL: https://hal.science/hal-00763233
issued: 2026-06-01T01:00:02.587794
modified: 2026-06-01T01:00:02.537223