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Localisation in the Bouchaud–Anderson model

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 te...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1016/j.spa.2016.04.033

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
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Grant:
Research Grant RPG-2012-608
Publisher:
Elsevier Publisher's website
Journal:
Stochastic Processes and their Applications Journal website
Volume:
126
Issue:
11
Pages:
3402–3462
Publication date:
2016-05-11
DOI:
ISSN:
0304-4149
URN:
uuid:68e97405-8bab-4eff-8381-e85e8e9c2ebb
Source identifiers:
625019
Local pid:
pubs:625019

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