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- W4320459344 abstract "We prove phase transitions for continuum percolation in a Boolean model based on a Cox point process with nonstabilizing directing measure. The directing measure, which can be seen as a stationary random environment for the classical Poisson--Boolean model, is given by a planar rectangular Poisson line process. This Manhattan grid type construction features long-range dependencies in the environment, leading to absence of a sharp phase transition for the associated Cox--Boolean model. The phase transitions are established under individually as well as jointly varying parameters. Our proofs rest on discretization arguments and a comparison to percolation on randomly stretched lattices established in Hoffman 2005." @default.
- W4320459344 created "2023-02-14" @default.
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- W4320459344 date "2022-05-30" @default.
- W4320459344 modified "2023-10-14" @default.
- W4320459344 title "Continuum Percolation in a Nonstabilizing Environment" @default.
- W4320459344 doi "https://doi.org/10.48550/arxiv.2205.15366" @default.
- W4320459344 hasPublicationYear "2022" @default.
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