Trap models with vanishing drift: Scaling limits and aging regimes
Probability
2010-03-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1003.1490,
title = {Trap models with vanishing drift: Scaling limits and aging regimes},
author = {Nina Gantert and Peter Moerters and Vitali Wachtel},
journal= {arXiv preprint arXiv:1003.1490},
year = {2010}
}
Comments
28 pages