Mutual service processes in Euclidean spaces: existence and ergodicity View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-06

AUTHORS

François Baccelli, Fabien Mathieu, Ilkka Norros

ABSTRACT

Consider a set of objects, abstracted to points of a spatially stationary point process in Rd, that deliver to each other a service at a rate depending on their distance. Assume that the points arrive as a Poisson process and leave when their service requirements have been fulfilled. We show how such a process can be constructed and establish its ergodicity under fairly general conditions. We also establish a hierarchy of integral balance relations between the factorial moment measures and show that the time-stationary process exhibits a repulsivity property. More... »

PAGES

95-140

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11134-017-9524-3

DOI

http://dx.doi.org/10.1007/s11134-017-9524-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1085103923


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