Uniform Distributions on the Integers: A connection to the Bernouilli Random Walk
研究了整数子集在伯努利随机游走下的几乎必然极限相对频率，得到纯有限可加概率空间，在剩余类和平移不变性下均匀，但极限相对频率不均匀。
Associate to each subset of the integers its almost sure limiting relative frequency under the Bernouilli random walk, if it has one. The resulting probability space is purely finitely additive, and uniform in the sense of residue classes and shift-invariance. However, it is not uniform in the sense of limiting relative frequency.