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Localisation in the Bouchaud-Anderson Model
(Elsevier, 2016-05-11)
It is well-known that both branching random walk models and trap models can exhibit intermittency and localisation phenomena; the prototypical examples being the parabolic Anderson and Bouchaud trap models respectively. ...
Delocalising the parabolic Anderson model through partial duplication of the potential
(Springer Verlag, 2017-09-06)
The parabolic Anderson model on $\mathbb{Z}^d$ with i.i.d. potential is known to completely localise if the distribution of the potential is sufficiently heavy-tailed at infinity. In this paper we investigate a modification ...