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.

22 pages

References in corpus (1)

• Reinforced random walk

Cited by in corpus (1)

• Monotone interaction of walk and graph: recurrence versus transience