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- W3104200422 abstract "This paper concerns the long term behaviour of a growth model describing a random sequential allocation of particles on a finite cycle graph. The model can be regarded as a reinforced urn model with graph-based interaction. It is motivated by cooperative sequential adsorption, where adsorption rates at a site depend on the configuration of existing particles in the neighbourhood of that site. Our main result is that, with probability one, the growth process will eventually localise either at a single site, or at a pair of neighbouring sites." @default.
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- W3104200422 date "2018-05-08" @default.
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- W3104200422 title "Localisation in a Growth Model with Interaction" @default.
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- W3104200422 doi "https://doi.org/10.1007/s10955-018-2055-4" @default.
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