UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Localisation in the Bouchaud-Anderson Model

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. Green open access

[thumbnail of main_elsevier_final.pdf]
Preview
Text
main_elsevier_final.pdf - Accepted Version

Download (708kB) | Preview

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
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
Downloads since deposit
Loading...
52Downloads
Download activity - last month
Loading...
Download activity - last 12 months
Loading...
Downloads by country - last 12 months
Loading...

Archive Staff Only

View Item View Item