Author(s)

Zhongjin Yang¹, Cassidy Yang²

¹Cantigny Court, Naperville, IL, USA.
²Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, CA, USA.

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.

Biased Random Walk, Monte Carlo Simulations, Stochastic Process

Yang, Z. and Yang, C. (2015) How Far Can a Biased Random Walker Go?. Journal of Applied Mathematics and Physics, 3, 1159-1167. doi: 10.4236/jamp.2015.39143.