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Functional limit theorems for the Bouchaud trap model with slowly varying traps
(Elsevier, 2014-12-19)
We consider the Bouchaud trap model on the integers in the case that the trap distribution has a slowly varying tail at infinity. Our main result is a functional limit theorem for the model under the annealed law, analogous ...
Quenched localisation in the Bouchaud trap model with slowly varying traps
(Springer Verlag, 2016-04-27)
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 $N \in \{2, 3, \ldots\}$ ...
Quenched localisation in the Bouchaud trap model with regularly varying traps
(2016-03)
This article describes the quenched localisation behaviour of the Bouchaud trap model on the integers with regularly varying traps. In particular, it establishes that for almost every trapping landscape there exist arbitrarily ...