Partial and random covering times in one dimension

• Published in: Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 63; no. 6 Pt 2; p. 066125
• Main Authors: Nascimento, M S, Coutinho-Filho, M D, Yokoi, C S
• Format: Journal Article
• Language: English
• Published: United States 01.06.2001

We study the recently introduced random walk problems of partial covering time (PCT) and random covering time (RCT). We generalize the concept of first-passage time to a given set of m sites by considering the probability of visiting all m sites for the first time on the tth step. For the one-dimens...