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- W2952474848 abstract "We consider the quenched localisation of the Bouchaud trap model on the positive integers in the case that the trap distribution has a slowly varying tail at infinity. Our main result is that for each $N in {2, 3, ldots}$ there exists a slowly varying tail such that quenched localisation occurs on exactly $N$ sites. As far as we are aware, this is the first example of a model in which the exact number of localisation sites are able to be `tuned' according to the model parameters. Key intuition for this result is provided by an observation about the sum-max ratio for sequences of independent and identically distributed random variables with a slowly varying distributional tail, which is of independent interest." @default.
- W2952474848 created "2019-06-27" @default.
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- W2952474848 date "2015-10-21" @default.
- W2952474848 modified "2023-09-27" @default.
- W2952474848 title "Quenched localisation in the Bouchaud trap model with slowly varying traps" @default.
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