Walking within growing domains: recurrence versus transience
Abstract
For normally reflected Brownian motion and for simple random walk on independently growing in time d-dimensional domains, d>=3, we establish a sharp criterion for recurrence versus transience in terms of the growth rate.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2013
- DOI:
- 10.48550/arXiv.1312.4610
- arXiv:
- arXiv:1312.4610
- Bibcode:
- 2013arXiv1312.4610D
- Keywords:
-
- Mathematics - Probability
- E-Print:
- 22 pages