On the continuity of enhancement percolation
Abstract
We study bond percolation in Zd with an unbounded family of enhancements that enable additional bonds to act as open. A natural question is whether percolation occurs in this model if and only if percolation also occurs in the system with a finite subcollection of enhancements. We give an affirmative answer in dimension d=2 for symmetric families of connected enhancements, and in dimensions d≥3 we prove a partial result.
Fields of Study & Subjects
Bayesian Methods and Mixture Models
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- Electronic Communications in Probability
- Volume
- 31
- Issue
- none
- Publication date
- 1 January 2026
- Language
- EN