Muirhead, S;
Pymar, R;
(2016)
Localisation in the Bouchaud-Anderson Model.
Stochastic Processes and their Applications
, 126
(11)
10.1016/j.spa.2016.04.033.
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Abstract
It is well-known that both random branching and trapping mechanisms can induce localisation phenomena in random walks; the prototypical examples being the parabolic Anderson and Bouchaud trap models respectively. Our aim is to investigate how these localisation phenomena interact in a hybrid model combining the dynamics of the parabolic Anderson and Bouchaud trap models. Under certain natural assumptions, we show that the localisation effects due to random branching and trapping mechanisms tend to (i) mutually reinforce, and (ii) induce a local correlation in the random fields (the ‘fit and stable’ hypothesis of population dynamics).
Type: | Article |
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Title: | Localisation in the Bouchaud-Anderson Model |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1016/j.spa.2016.04.033 |
Publisher version: | http://dx.doi.org/10.1016/j.spa.2016.04.033 |
Language: | English |
Additional information: | Copyright © 2016. This manuscript version is published under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International licence (CC BY-NC-ND 4.0). This licence allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licences are available at http://creativecommons.org/licenses/by/4.0. |
Keywords: | Parabolic Anderson model, Bouchaud trap model, localisation, intermittency |
UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
URI: | https://discovery.ucl.ac.uk/id/eprint/1492716 |
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