Use of an Hourglass Model in Neuronal Coding

Marie Cottrell and Tatyana S. Turova
Additional contact information
Marie Cottrell: SAMOS-MATISSE - Université Paris 1
Tatyana S. Turova: University of Lund - Department of Mathematical Statistics

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

Abstract: We study a system of interacting renewal processes which is a model for neuronal activity. We show that the system possesses an exponentially large number (with respect to the number of neurons in the network) of limiting configurations of the "firing neurons". These we call patterns. Furthermore, certain conditions of symmetry we find an algorithm to control limiting patterns by means of the connection parameters

Keywords: Ergodicity; Hourglass Model; Stochastic Neural Network (search for similar items in EconPapers)
Pages: 28 pages
Date: 1999-09
References: View references in EconPapers View complete reference list from CitEc
Citations:

Published in Journal of Applied Probability, Cambridge University Press, 37, (1), 2000, pp. 168-186

Downloads: (external link)
https://shs.hal.science/halshs-03707112 (application/pdf)
https://doi.org/10.1239/jap/1014842275

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:mse:wpsorb:r99024

Access Statistics for this paper

More papers in Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1) Contact information at EDIRC.
Bibliographic data for series maintained by Lucie Label ().