We define the notion of the bias of a Bernoulli random variable and demonstrate its relationship to the property that the mod-2 sum of independent variables converges to a fair coin-toss. We then explore generalizations of these ideas to random walks on a finite cyclic group.
"Measuring Bias in Cyclic Random Walks." Missouri J. Math. Sci. 25 (2) 195 - 212, November 2013. https://doi.org/10.35834/mjms/1384266204