A sharper threshold for bootstrap percolation in two dimensions
From MaRDI portal
Publication:438962
DOI10.1007/s00440-010-0338-zzbMath1254.60092arXiv1002.3881OpenAlexW2087493237MaRDI QIDQ438962
Robert Morris, Janko Gravner, Alexander E. Holroyd
Publication date: 31 July 2012
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.3881
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Zero-temperature Glauber dynamics on \({\mathbb{Z}^d}\)
- Bootstrap percolation on the random graph \(G_{n,p}\)
- Bootstrap percolation on the hypercube
- Bootstrap percolation in three dimensions
- The metastability threshold for modified bootstrap percolation in \(d\) dimensions
- Slow convergence in bootstrap percolation
- Bootstrap percolation on homogeneous trees has 2 phase transitions
- Minimal percolating sets in bootstrap percolation
- Metastable behavior for bootstrap percolation on regular trees
- On percolation in random graphs with given vertex degrees
- Local bootstrap percolation
- On the behavior of some cellular automata related to bootstrap percolation
- A nucleation-and-growth model
- Metropolis dynamics relaxation via nucleation and growth
- Sharp metastability threshold for two-dimensional bootstrap percolation
- Finite size scaling in three-dimensional bootstrap percolation
- On some growth models with a small parameter
- Stretched exponential fixation in stochastic Ising models at zero temperature
- A d-dimensional nucleation and growth model
- The threshold regime of finite volume bootstrap percolation.
- Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation
- Bootstrap Percolation on Infinite Trees and Non-Amenable Groups
- Bootstrap percolation on the random regular graph
- Majority Bootstrap Percolation on the Hypercube
- Inequalities with applications to percolation and reliability
- Metastability effects in bootstrap percolation
- Threshold Growth Dynamics
- A simple model of global cascades on random networks
- Integrals, partitions, and cellular automata
- Bootstrap Percolation in High Dimensions
- Exact solution of a jamming transition: Closed equations for a bootstrap percolation problem
- The sharp threshold for bootstrap percolation in all dimensions