The threshold regime of finite volume bootstrap percolation.
From MaRDI portal
Publication:2574501
DOI10.1016/S0304-4149(02)00124-2zbMath1075.82010OpenAlexW2067253751MaRDI QIDQ2574501
Publication date: 29 November 2005
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00124-2
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Percolation (82B43) Time-dependent percolation in statistical mechanics (82C43)
Related Items
Bootstrap percolation on the hypercube ⋮ Bootstrap percolation via automated conjecturing ⋮ Higher order corrections for anisotropic bootstrap percolation ⋮ Bootstrap percolation in three dimensions ⋮ Exact solution of a jamming transition: Closed equations for a bootstrap percolation problem ⋮ The time of bootstrap percolation in two dimensions ⋮ A phase transition regarding the evolution of bootstrap processes in inhomogeneous random graphs ⋮ Sharp thresholds for contagious sets in random graphs ⋮ Scaling and Inverse Scaling in Anisotropic Bootstrap Percolation ⋮ The time of bootstrap percolation with dense initial sets for all thresholds ⋮ Maximal bootstrap percolation time on the hypercube via generalised snake-in-the-box ⋮ Strong-majority bootstrap percolation on regular graphs with low dissemination threshold ⋮ Bootstrap percolation, and other automata ⋮ Sharp metastability threshold for an anisotropic bootstrap percolation model ⋮ Universality for two‐dimensional critical cellular automata ⋮ Extremal Bounds for 3-Neighbor Bootstrap Percolation in Dimensions Two and Three ⋮ Bootstrap percolation in inhomogeneous random graphs ⋮ A d-dimensional nucleation and growth model ⋮ On dissemination thresholds in regular and irregular graph classes ⋮ Triggering cascades on undirected connected graphs ⋮ Hydrodynamic limit for the Kob-Andersen model ⋮ Metastability thresholds for anisotropic bootstrap percolation in three dimensions ⋮ Monotone Cellular Automata in a Random Environment ⋮ Nucleation and growth for the Ising model in \(d\) dimensions at very low temperatures ⋮ A sharper threshold for bootstrap percolation in two dimensions ⋮ Zero-temperature Glauber dynamics on \({\mathbb{Z}^d}\) ⋮ Anisotropic bootstrap percolation in three dimensions ⋮ Threshold behavior of bootstrap percolation ⋮ The sharp threshold for bootstrap percolation in all dimensions ⋮ Fixation for two-dimensional \(\mathcal{U}\)-Ising and \(\mathcal{U}\)-voter dynamics ⋮ Diffusive scaling of the Kob-Andersen model in \({\mathbb{Z}}^d \) ⋮ Towards a universality picture for the relaxation to equilibrium of kinetically constrained models ⋮ A modified bootstrap percolation on a random graph coupled with a lattice ⋮ Majority Bootstrap Percolation on the Hypercube ⋮ Bootstrap Percolation in High Dimensions ⋮ Recent advances in percolation theory and its applications ⋮ A new class of cellular automata with a discontinuous glass transition ⋮ Bootstrap percolation in power-law random graphs ⋮ Bootstrap percolation on the random graph \(G_{n,p}\) ⋮ Kinetically constrained spin models ⋮ Cooperative behavior of kinetically constrained lattice gas models of glassy dynamics ⋮ Bootstrap percolation on the Hamming torus ⋮ Extremal bounds for bootstrap percolation in the hypercube ⋮ Subcritical $\mathcal {U}$-bootstrap percolation models have non-trivial phase transitions ⋮ A sharp threshold for bootstrap percolation in a random hypergraph ⋮ An Improved Upper Bound for Bootstrap Percolation in All Dimensions ⋮ Self-diffusion coefficient in the Kob-Andersen model ⋮ Metastable behavior for bootstrap percolation on regular trees ⋮ \(\mathcal{U}\)-bootstrap percolation: critical probability, exponential decay and applications ⋮ The second term for two-neighbour bootstrap percolation in two dimensions ⋮ Strict Majority Bootstrap Percolation on Augmented Tori and Random Regular Graphs: Experimental Results ⋮ Extremal bounds for bootstrap percolation in the hypercube ⋮ A Note on Bootstrap Percolation Thresholds in Plane Tilings using Regular Polygons
Cites Work
- Critical points of two-dimensional bootstrap percolation-like cellular automata
- On the behavior of some cellular automata related to bootstrap percolation
- A nucleation-and-growth model
- Finite size scaling in three-dimensional bootstrap percolation
- Critical length for semi-oriented bootstrap percolation
- Proof of Straley's argument for bootstrap percolation.
- Statistical mechanics of cellular automata
- Metastability effects in bootstrap percolation
- Percolation
- Unnamed Item
- Unnamed Item
