Abstract
In this chapter we review the notion of a Poisson point process on a measurable space as well as some basic operations (coloring, mapping, thinning) that we will need for the construction of the random interlacement point process and in the study of its properties. First we recall some well-known facts about the Poisson distribution.
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References
Kingman, J.F.C.: Poisson processes. In: Oxford Studies in Probability, vol. 3. The Clarendon Press Oxford University Press, New York (1993). Oxford Science Publications
Resnick, S.I.: Extreme values, regular variation and point processes. In: Springer Series in Operations Research and Financial Engineering. Springer, New York (2008). Reprint of the 1987 original
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Drewitz, A., Ráth, B., Sapozhnikov, A. (2014). Poisson Point Processes. In: An Introduction to Random Interlacements. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-05852-8_4
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DOI: https://doi.org/10.1007/978-3-319-05852-8_4
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Publisher Name: Springer, Cham
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