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Quenched localisation of in the Bouchaud trap model with regularly varying trap

Abstract:
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 large times at which the system is highly localised on one site, and also arbitrarily large times at which the system is completely delocalised.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Publisher:
Research Institute for Mathematical Sciences, Kyoto University Publisher's website
Journal:
RIMS Kokyuroku Bessatsu Journal website
Volume:
B59
Pages:
305-320
Publication date:
2016-01-01
Acceptance date:
2016-05-26
ISSN:
1881-6193
Pubs id:
pubs:668374
URN:
uri:9130b0fa-6af8-461c-8049-e03f65d3e310
UUID:
uuid:9130b0fa-6af8-461c-8049-e03f65d3e310
Local pid:
pubs:668374

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