Sun, T. and Yang, Z.J. (1992) How Far Can a Random Walker Go? Physica A: Statistical Mechanics and Its Applications, 182, 599-606.
http://dx.doi.org/10.1016/0378-4371(92)90024-K

has been cited by the following article:

• TITLE: How Far Can a Biased Random Walker Go?

  AUTHORS: Zhongjin Yang, Cassidy Yang

  KEYWORDS: Biased Random Walk, Monte Carlo Simulations, Stochastic Process

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.9, September 23, 2015

  ABSTRACT: The random walk (RW) is a very important model in science and engineering researches. It has been studied over hundreds years. However, there are still some overlooked problems on the RW. Here, we study the mean absolute distance of an N-step biased random walk (BRW) in a d-dimensional hyper-cubic lattice. In this short paper, we report the exact results for d = 1 and approximation formulae for d ≥ 2.