Trap models with vanishing drift: Scaling limits and aging regimes

Details Trap models with vanishing drift: Scaling limits and aging regimes Trap models with vanishing drift: Scaling limits and aging regimes

2010-03-07

arxiv.org/abs/1003.1490v1

Mathematics

Probability

28 pages

Scientific paper

We discuss the long term behaviour of trap models on the integers with
asymptotically 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.

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