Scaling limit and aging for directed trap models
- Zindy, Olivier
2010 Mathematics Subject Classification
- 60K37 60G50 60G52 60F17 82D30
- Directed trap model, random walk, scaling limit, subordinator, aging
We consider one-dimensional directed trap models and suppose that the trapping times are heavy-tailed. We obtain the inverse of a stable subordinator as scaling limit and prove an aging phenomenon expressed in terms of the generalized arcsine law. These results confirm the status of universality described by Ben Arous and Černý for a large class of graphs.