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Trap models with vanishing drift: Scaling limits and ageing regimes


Reference:

Gantert, N., Morters, P. and Wachtel, V., 2010. Trap models with vanishing drift: Scaling limits and ageing regimes. ALEA Latin American Journal of Probability and Mathematical Statistics, 7, pp. 477-501.

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    http://alea.impa.br/articles/v7/07-21.pdf

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    Abstract

    We discuss the long term behaviour of trap models on the integers with asymptoti- cally vanishing drift, providing scaling limit theorems and ageing results. Depending on the tail behaviour of the traps and the strength of the drift, we identify three different regimes, one of which features a previously unobserved limit process.

    Details

    Item Type Articles
    CreatorsGantert, N., Morters, P. and Wachtel, V.
    Related URLs
    URLURL Type
    http://alea.impa.br/articles/v7/07-21.pdfFree Full-text
    DepartmentsFaculty of Science > Mathematical Sciences
    RefereedYes
    StatusPublished
    ID Code26550

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