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Invariant stochastic properties of a class of directed circuits

Published online by Cambridge University Press:  14 July 2016

S. Kalpazidou*
Affiliation:
Aristotle University of Thessaloniki
*
Postal address: Department of Mathematics, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece.

Abstract

Invariant stochastic properties are studied for circuit processes, i.e. processes whose sample paths can be represented by a denumerable set of overlapping directed circuits c in a denumerable set S and a set of positive weights , when the family of the weights varies.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1991 

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References

[1] Baldi, P., Lohoue, N. and Peyriere, J. (1977) Sur la classification des groupes récurrents. C. R. Acad. Sci. Paris 285(A), 11031104.Google Scholar
[2] Iosifescu, M. (1973) On multiple Markovian dependence. Proc. 4th Conf. Probability Theory, 6571. Ed. Acad. R. S. România, Bucharest.Google Scholar
[3] Iosifescu, M. (1969) Sur les chaînes de Markov multiples. Bull. Inst. Internat. Statist. 43(2), 333335.Google Scholar
[4] Kalpazidou, S. (1989) On multiple circuit chains with a countable infinity of states. Stoch. Proc. Appl. 31, 5170.10.1016/0304-4149(89)90102-6Google Scholar
[5] Kalpazidou, S. (1991) On the Beurling-type inequality in terms of thermal power. J. Appl. Prob. 28, 104115.Google Scholar
[6] Kalpazidou, S. (1989) Representation of denumerable Markov chains with multiple states by weighted circuits. J. Appl. Prob. 26, 2335.Google Scholar
[7] Varopoulos, N. Th. (1984) Brownian motion and random walks on manifolds. Ann. Inst. Fourier, Grenoble 34(2), 243269.10.5802/aif.972Google Scholar