Age evolution in the mean field forest fire model via multitype branching processes
DOI10.1214/20-AOP1501zbMath1491.60173arXiv1811.07981MaRDI QIDQ2039463
Edward Crane, Balázs Ráth, Dominic Yeo
Publication date: 2 July 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.07981
differential equationsself-organized criticalityPerron-Frobenius theorymultitype branching processinhomogeneous random graph
Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) PDEs in connection with statistical mechanics (35Q82) Applications of functional analysis in statistical physics (46N55)
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Cites Work
- A Curie-Weiss model of self-organized criticality
- Uniqueness of post-gelation solutions of a class of coagulation equations
- Existence of multi-dimensional infinite volume self-organized critical forest-fire models
- Cluster growth in the dynamical Erdős-Rényi process with forest fires
- Marcus-Lushnikov processes, Smoluchowski's and Flory's models
- Erdős-Renyi random graphs \(+\) forest fires \(=\) self-organized criticality
- Mean field frozen percolation
- Polymers and random graphs
- Sandpile models
- Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models
- A forest-fire model on the upper half-plane
- Random Graphs and Complex Networks
- Self-organized criticality
- The percolation process on a tree where infinite clusters are frozen
- Self‐destructive percolation
- Unimodular random trees
- The phase transition in inhomogeneous random graphs
- Planar lattices do not recover from forest fires
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