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Journal Article

The Abelian distribution

MPS-Authors
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Levina,  Anna
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Herrmann,  J. Michael
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Levina, A., & Herrmann, J. M. (2013). The Abelian distribution. Stochastics and Dynamics, 14(3): 1450001. doi:10.1142/S0219493714500014.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0F81-1
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.