Backbone scaling limits for random walks on random critical trees

Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh

Research output: Contribution to journalArticlepeer-review

Abstract

We prove the existence of scaling limits for the projection on the backbone of the random walks on the Incipient Infinite Cluster and the Invasion Percolation Cluster on a regular tree. We treat these projected random walks as Randomly trapped random walks (as defined in (Ann. Probab. 43 (2015) 2405–2457)) and thus describe these scaling limits as spatially subordinated Brownian motions.

Original languageEnglish (US)
Pages (from-to)1814-1848
Number of pages35
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume60
Issue number3
DOIs
StatePublished - Aug 2024

Keywords

  • Percolation
  • Random walk

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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