@article{ECP2431,
author = {Amichai Lampert and Assaf Shapira},
title = {On maximizing the speed of a random walk in fixed environments},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
keywords = {Random Walk; Speed; Environment},
abstract = {We consider a random walk in a fixed $\mathbb{Z}$ environment composed of two point types: $q$-drifts (in which the probabiliy to move to the right is $q$, and $1-q$ to the left) and $p$-drifts, where $\frac{1}{2}<q<p$. We study the expected hitting time of a random walk at $N$ given the number of $p$-drifts in the interval $[1,N-1]$, and find that this time is minimized asymptotically by equally spaced $p$-drifts.},
pages = {no. 40, 1-9},
issn = {1083-589X},
doi = {10.1214/ECP.v18-2431},
url = {http://ecp.ejpecp.org/article/view/2431}}