3 papers
math.PR2026
Percolation on hierarchical lattices
Caio Alves, Rangel Baldasso, Carlos Gustavo Moreira +1
We consider independent Bernoulli percolation on top of sequences of hierarchical graphs. Given a graph with two distinguished vertices and , the hierarchica…
cond-mat.stat-mech2024
Locality approach to the bootstrap percolation paradox
Ivailo Hartarsky, Augusto Teixeira
We revisit the Bootstrap Percolation model, leveraging recent mathematical advances linking it with its local counterpart. This new perspective resolves, for the first time, histor…
math.PR2024
Bootstrap percolation is local
Ivailo Hartarsky, Augusto Teixeira
Metastability thresholds lie at the heart of bootstrap percolation theory. Yet proving precise lower bounds is notoriously hard. We show that for two of the most classical models,…