Critical points of two-dimensional bootstrap percolation-like cellular automata

DOI10.1007/BF01026574zbMath0712.68071MaRDI QIDQ749220

Roberto H. Schonmann

Publication date: 1990

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

critical pointsbootstrap percolationCelluar automata

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80)

Related Items

Bootstrap percolation on the hypercube, Higher order corrections for anisotropic bootstrap percolation, Critical length for semi-oriented bootstrap percolation, Scaling and Inverse Scaling in Anisotropic Bootstrap Percolation, Sharp metastability threshold for an anisotropic bootstrap percolation model, Universality results for kinetically constrained spin models in two dimensions, Metastability thresholds for anisotropic bootstrap percolation in three dimensions, Finite-size effects for anisotropic bootstrap percolation: Logarithmic corrections, The central limit theorem for Tukey's 3R smoother, First passage times for threshold growth dynamics on \(\mathbb{Z}^ 2\), Comparison of some approaches for analysis of stochastic systems with short correlation time noise, Random majority percolation, Subcritical $\mathcal {U}$-bootstrap percolation models have non-trivial phase transitions, Thermodynamic formalism for systems with Markov dynamics, Probabilistic bootstrap percolation, Bootstrap percolation in a polluted environment, The threshold regime of finite volume bootstrap percolation., Subcritical bootstrap percolation via Toom contours

Cites Work

• Proof of Straley's argument for bootstrap percolation.