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The Abelian distribution

Anna Levina

Max Planck Institute for Mathematics in Sciences, Inselstr. 22, 04103 Leipzig, Germany

Bernstein Center for Computational Neuroscience, Göttingen, Am Fassberg 17, 37077 Göttingen, Germany

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and

J. Michael Herrmann

IPAB, School of Informatics, University of Edinburgh, 10 Crichton St, Edinburgh, EH8 9AB, UK

Bernstein Center for Computational Neuroscience, Göttingen, Am Fassberg 17, 37077 Göttingen, Germany

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https://doi.org/10.1142/S0219493714500014Cited by:4 (Source: Crossref)

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:

AMSC: 60C05, 60E07, 92C20

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