Polluted bootstrap percolation in three dimensions
From MaRDI portal
Publication:2240814
DOI10.1214/20-AAP1588zbMath1479.60195arXiv1706.07338MaRDI QIDQ2240814
Alexander E. Holroyd, David Sivakoff, Janko Gravner
Publication date: 4 November 2021
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.07338
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Related Items
Extremal Bounds for 3-Neighbor Bootstrap Percolation in Dimensions Two and Three ⋮ Transitive closure in a polluted environment ⋮ On the running time of hypergraph bootstrap percolation ⋮ Subcritical monotone cellular automata ⋮ Polluted bootstrap percolation with threshold two in all dimensions
Cites Work
- Sharp metastability threshold for an anisotropic bootstrap percolation model
- Geometry of Lipschitz percolation
- A sharper threshold for bootstrap percolation in two dimensions
- Plaquettes, spheres, and entanglement
- Lattice embeddings in percolation
- First passage times for threshold growth dynamics on \(\mathbb{Z}^ 2\)
- Bootstrap percolation on the random graph \(G_{n,p}\)
- The metastability threshold for modified bootstrap percolation in \(d\) dimensions
- Lipschitz percolation
- On the behavior of some cellular automata related to bootstrap percolation
- Bootstrap percolation in a polluted environment
- Domination by product measures
- Sharp metastability threshold for two-dimensional bootstrap percolation
- Proof of Straley's argument for bootstrap percolation.
- Polluted bootstrap percolation with threshold two in all dimensions
- Bootstrap percolation, and other automata
- Coarsening dynamics on \(\mathbb{Z}^d\) with frozen vertices
- Metastability effects in bootstrap percolation
- Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster
- The sharp threshold for bootstrap percolation in all dimensions