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A note on Cowan’s process of space division

Published online by Cambridge University Press:  01 July 2016

J. Mecke*
Affiliation:
University of Jena
*
Postal address: Department of Mathematics, The University, UHH, Jena, DDR-6900, GDR.
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Abstract

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Relations of a Markov chain describing the repeated splitting of polygons to processes known from queueing theory are pointed out.

Type
Letters to the Editor
Copyright
Copyright © Applied Probability Trust 1989 

References

Cowan, R. and Morris, V. B. (1988) Division rules for polygonal cells. J. theor. Biol. 131, 3342.Google Scholar
Cowan, R. (1989) The division of space and the Poisson distribution. Adv. Appl. Prob. 21, 233234.CrossRefGoogle Scholar
Khinchin, A. Y. (1960) Mathematical Methods in the Theory of Queueing. Griffin, London.Google Scholar