A class of interacting marked point processes: rate of convergence to equilibrium
2002 ◽
Vol 39
(1)
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pp. 137-160
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Keyword(s):
In this paper we obtain the rate of convergence to equilibrium of a class of interacting marked point processes, introduced by Kerstan, in two different situations. Indeed, we prove the exponential and subexponential ergodicity of such a class of stochastic processes. Our results are an extension of the corresponding results of Brémaud, Nappo and Torrisi. The generality of the dynamics which we take into account allows the application to the so-called loss networks, and multivariate birth and death processes.
2002 ◽
Vol 39
(01)
◽
pp. 137-160
◽
1978 ◽
Vol 9
(1)
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pp. 125-141
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1977 ◽
Vol 9
(03)
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pp. 440-442
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1993 ◽
Vol 30
(02)
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pp. 365-372
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2015 ◽
Vol 47
(03)
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pp. 761-786
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Keyword(s):
2012 ◽
Vol 44
(3)
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pp. 603-616
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2014 ◽
Vol 415
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pp. 194-204
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Keyword(s):