English

The Abelian distribution

Probability 2017-04-28 v1 Statistical Mechanics Adaptation and Self-Organizing Systems

Abstract

We define the Abelian distribution and study its basic properties. Abelian distributions arise in the context of neural modeling and describe the size of neural avalanches in fully-connected integrate-and-fire models of self-organized criticality in neural systems.

Keywords

Cite

@article{arxiv.1704.08496,
  title  = {The Abelian distribution},
  author = {Anna Levina and J. Michael Herrmann},
  journal= {arXiv preprint arXiv:1704.08496},
  year   = {2017}
}
R2 v1 2026-06-22T19:29:32.083Z