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Mutual Service Processes in Euclidean Spaces: Existence and Ergodicity
Abstract : Consider a set of objects, abstracted to points of a spatially stationary point process in $R d$ , 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.
Cited literature [18 references]
https://hal.inria.fr/hal-01535925
Contributor : Fabien Mathieu <>
Submitted on : Friday, June 9, 2017 - 5:12:55 PM
Last modification on : Tuesday, September 22, 2020 - 3:52:11 AM
Long-term archiving on: : Sunday, September 10, 2017 - 1:45:40 PM
Contributor : Fabien Mathieu <>
Submitted on : Friday, June 9, 2017 - 5:12:55 PM
Last modification on : Tuesday, September 22, 2020 - 3:52:11 AM
Long-term archiving on: : Sunday, September 10, 2017 - 1:45:40 PM
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