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 language | English (US) |
---|---|
Pages (from-to) | 1814-1848 |
Number of pages | 35 |
Journal | Annales de l'institut Henri Poincare (B) Probability and Statistics |
Volume | 60 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2024 |
Keywords
- Percolation
- Random walk
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty