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• W2605431651 abstract "Consider a set of objects, abstracted to points of a spatially stationary point process in $$mathbb {R}^d$$ , 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." @default.
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• W2605431651 date "2017-04-22" @default.
• W2605431651 modified "2023-10-13" @default.
• W2605431651 title "Mutual service processes in Euclidean spaces: existence and ergodicity" @default.
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• W2605431651 doi "https://doi.org/10.1007/s11134-017-9524-3" @default.
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