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- W4288417694 abstract "This paper concerns the long term behaviour of a growth model describing a random sequential deposition of particles on a finite graph. The probability of allocating a particle at a vertex is proportional to a log-linear function of numbers of existing particles in a neighbourhood of a vertex. When this function depends only on the number of particles in the vertex, the model becomes a special case of the generalised Polya urn model. In this special case all but finitely many particles are allocated at a single random vertex almost surely. In our model interaction leads to the fact that, with probability one, all but finitely many particles are allocated at vertices of a clique." @default.
- W4288417694 created "2022-07-29" @default.
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- W4288417694 date "2019-03-11" @default.
- W4288417694 modified "2023-09-24" @default.
- W4288417694 title "Localisation in a growth model with interaction. Arbitrary graphs" @default.
- W4288417694 doi "https://doi.org/10.48550/arxiv.1903.04418" @default.
- W4288417694 hasPublicationYear "2019" @default.
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