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Conditions for the non-ergodicity of Markov chains with application to a communication system

Published online by Cambridge University Press:  14 July 2016

Linn I. Sennott
Linn I. Sennott*
Affiliation:
Illinois State University
*
∗Postal address: Department of Mathematics, Illinois State University, Normal, IL 61761, USA.
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Abstract

We obtain a sufficient condition for the transience of a Markov chain, and a sufficient condition for its null recurrence. These are applied to characterize the stability of a multiple-access communication system. Performance bounds for the system are also obtained.

Keywords

TRANSIENCENULL RECURRENCEMULTIPLE-ACCESS COMMUNICATIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 2 , June 1987 , pp. 339 - 346
Copyright
Copyright © Applied Probability Trust 1987 

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