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• W3157381015 abstract "We consider diffusion-limited annihilating systems with mobile A-particles and stationary B-particles placed throughout a graph. Mutual annihilation occurs whenever an A-particle meets a B-particle. Such systems, when ran in discrete time, are also referred to as parking processes. We show for a broad family of graphs and random walk kernels that augmenting either the size or variability of the initial placements of particles increases the total occupation time by A-particles of a given subset of the graph. A corollary is that the same phenomenon occurs with the total lifespan of all particles in internal diffusion-limited aggregation." @default.
• W3157381015 created "2021-05-10" @default.
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• W3157381015 date "2022-01-01" @default.
• W3157381015 modified "2023-10-18" @default.
• W3157381015 title "Diffusion-limited annihilating systems and the increasing convex order" @default.
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• W3157381015 doi "https://doi.org/10.1214/22-ejp808" @default.
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