Critical percolation and \(\mathrm{A + B \rightarrow 2A}\) dynamics

DOI10.1007/s10955-020-02597-xzbMath1453.60157arXiv1906.00988OpenAlexW2948178407MaRDI QIDQ2202319

Matthew Junge

Publication date: 18 September 2020

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

Full work available at URL: https://arxiv.org/abs/1906.00988

zbMATH Keywords

percolationfrog modelparticle system

Mathematics Subject Classification ID

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

Related Items (2)

A stochastic combustion model with thresholds on trees ⋮ The continuous-time frog model can spread arbitrarily fast

Cites Work

• Unnamed Item
• Unnamed Item
• On explosions in heavy-tailed branching random walks
• Correlation lengths for oriented percolation
• Mean-field critical behaviour for percolation in high dimensions
• Oriented percolation in two dimensions
• Critical behavior of the two-dimensional first passage time
• The critical probability of bond percolation on the square lattice equals 1/2
• The box-crossing property for critical two-dimensional oriented percolation
• Recurrence and transience for the frog model on trees
• Asymptotics for \(2D\) critical first passage percolation
• The shape theorem for the frog model
• Asymptotic behavior of a stochastic combustion growth process
• Supercritical behaviors in first-passage percolation
• Recurrence and transience of frogs with drift on \(\mathbb{Z}^d\)
• Asymptotic behavior of the Brownian frog model
• Poisson percolation on the oriented square lattice
• The spread of a rumor or infection in a moving population
• A shape theorem for the spread of an infection
• A phase transition in a model for the spread of an infection
• Recurrence for the frog model with drift on \(\mathbb{Z}^d\)
• Mean-field behavior for nearest-neighbor percolation in \(d>10\)
• Poisson percolation on the square lattice
• 50 Years of First-Passage Percolation
• The supercritical phase of percolation is well behaved
• Minimal displacement of branching random walk
• On the number of vertices with a given degree in a Galton-Watson tree
• Continuum Percolation
• Probability

This page was built for publication: Critical percolation and \(\mathrm{A + B \rightarrow 2A}\) dynamics