A Curie-Weiss model of self-organized criticality

DOI10.1214/14-AOP978zbMath1342.60161arXiv1301.6911OpenAlexW2146509085MaRDI QIDQ272964

Raphaël Cerf, Matthias Gorny

Publication date: 21 April 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6911

zbMATH Keywords

self-organized criticalityLaplace's methodIsing-Curie-Weiss model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (10)

The Cramér condition for the Curie-Weiss model of SOC ⋮ Stable and metastable phases for the Curie-Weiss-Potts model in vector-valued fields via singularity theory ⋮ Path-space moderate deviations for a Curie-Weiss model of self-organized criticality ⋮ An extension of the Ising-Curie-Weiss model of self-organized criticality with a threshold on the interaction range ⋮ Some toy models of self-organized criticality in percolation ⋮ The dynamics of critical fluctuations in asymmetric Curie-Weiss models ⋮ Fluctuations of the self-normalized sum in the Curie-Weiss model of SOC ⋮ The Curie-Weiss Model of SOC in Higher Dimension ⋮ A planar Ising model of self-organized criticality ⋮ Age evolution in the mean field forest fire model via multitype branching processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Entropy, large deviations, and statistical mechanics.
• Large deviations techniques and applications.
• Sharp estimates of deviations of the sample mean in many dimensions
• Large deviations and testing statistical hypotheses. I: Large deviations of sums of random vectors
• Multiple phase transitions in the generalized Curie-Weiss model.
• Critical phenomena in natural sciences. Chaos, fractals, selforganization and disorder: Concepts and tools.
• On the continuity of the Young-Fenchel transform
• A Curie-Weiss Model of Self-Organized Criticality : The Gaussian Case
• Self-organized criticality
• Self-Organized Criticality in Astrophysics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Convex Analysis

This page was built for publication: A Curie-Weiss model of self-organized criticality