dc.contributor.author | Croydon, D | en_US |
dc.contributor.author | Muirhead, S | en_US |
dc.date.accessioned | 2018-10-25T09:44:52Z | |
dc.date.issued | 2016-04-27 | en_US |
dc.date.submitted | 2018-10-15T15:33:31.347Z | |
dc.identifier.issn | 0178-8051 | en_US |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/48744 | |
dc.description | 36 pages, 4 figures | en_US |
dc.description | 36 pages, 4 figures | en_US |
dc.description | 36 pages, 4 figures | en_US |
dc.description | 36 pages, 4 figures | en_US |
dc.description.abstract | We consider the quenched localisation of the Bouchaud trap model on the positive integers in the case that the trap distribution has a slowly varying tail at infinity. Our main result is that for each $N \in \{2, 3, \ldots\}$ there exists a slowly varying tail such that quenched localisation occurs on exactly $N$ sites. As far as we are aware, this is the first example of a model in which the exact number of localisation sites are able to be `tuned' according to the model parameters. Key intuition for this result is provided by an observation about the sum-max ratio for sequences of independent and identically distributed random variables with a slowly varying distributional tail, which is of independent interest. | en_US |
dc.format.extent | 269 - 315 | en_US |
dc.publisher | Springer Verlag | en_US |
dc.relation.ispartof | Probability Theory and Related Fields | en_US |
dc.rights | This is a pre-copyedited, author-produced version of an article accepted for publication in Probability Theory and Related Fields following peer review. The version of record is available https://link.springer.com/article/10.1007%2Fs00440-016-0710-8#copyrightInformation | |
dc.subject | math.PR | en_US |
dc.subject | math.PR | en_US |
dc.title | Quenched localisation in the Bouchaud trap model with slowly varying traps | en_US |
dc.type | Article | |
dc.rights.holder | © Springer-Verlag Berlin Heidelberg 2016 | |
pubs.author-url | http://arxiv.org/abs/1510.06191v2 | en_US |
pubs.notes | Not known | en_US |
pubs.publication-status | Published | en_US |
pubs.volume | 168 | en_US |