Higher order corrections for anisotropic bootstrap percolation

DOI10.1007/s00440-017-0808-7zbMath1404.60149arXiv1611.03294OpenAlexW2964041215WikidataQ59523322 ScholiaQ59523322MaRDI QIDQ1626605

Aernout C. D. van Enter, Tim Hulshof, Hugo Duminil-Copin

Publication date: 21 November 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03294

zbMATH Keywords

metastabilitysharp thresholdfinite-size effectsbootstrap percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Time-dependent percolation in statistical mechanics (82C43)

Related Items (8)

Scaling and Inverse Scaling in Anisotropic Bootstrap Percolation ⋮ Universality for two‐dimensional critical cellular automata ⋮ Universality results for kinetically constrained spin models in two dimensions ⋮ Anisotropic bootstrap percolation in three dimensions ⋮ Towards a universality picture for the relaxation to equilibrium of kinetically constrained models ⋮ An Improved Upper Bound for Bootstrap Percolation in All Dimensions ⋮ The second term for two-neighbour bootstrap percolation in two dimensions ⋮ Complexity of Two-dimensional Bootstrap Percolation Difficulty: Algorithm and NP-Hardness

Cites Work

• Unnamed Item
• Unnamed Item
• Erratum to ``Sharp metastability threshold for an anisotropic bootstrap percolation model
• Sharp metastability threshold for an anisotropic bootstrap percolation model
• A sharper threshold for bootstrap percolation in two dimensions
• Bootstrap percolation in living neural networks
• Zero-temperature Glauber dynamics on \({\mathbb{Z}^d}\)
• First passage times for threshold growth dynamics on \(\mathbb{Z}^ 2\)
• Critical points of two-dimensional bootstrap percolation-like cellular automata
• Bootstrap percolation in three dimensions
• Slow convergence in bootstrap percolation
• Local bootstrap percolation
• Sharp thresholds in bootstrap percolation
• Sharp metastability threshold for two-dimensional bootstrap percolation
• Finite size scaling in three-dimensional bootstrap percolation
• Stretched exponential fixation in stochastic Ising models at zero temperature
• Critical length for semi-oriented bootstrap percolation
• Finite-size effects for anisotropic bootstrap percolation: Logarithmic corrections
• Kinetically constrained spin models
• The threshold regime of finite volume bootstrap percolation.
• Subcritical $\mathcal {U}$-bootstrap percolation models have non-trivial phase transitions
• Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation
• Metastability effects in bootstrap percolation
• Poisson approximation for large deviations
• Percolation
• Integrals, partitions, and cellular automata
• Bootstrap Percolation in High Dimensions
• Convolution Bootstrap Percolation Models, Markov-type Stochastic Processes, and Mock Theta Functions
• Monotone Cellular Automata in a Random Environment
• The sharp threshold for bootstrap percolation in all dimensions

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