How Random Are Random Walks?
Ron C. Blei · Birkhäuser Basel eBooks · 2002
Steps of random walks in the real world are not independent, but, rather, depend on hidden variables acting in a complicated manner that is not feasible to deterministic analysis. Proposed is a continuous scale of random walks with interdependent steps, which is calibrated by combinatorial measurements. In the limit, modeling continuous time, this scale of random walks becomes a scale of chaos processes, which is calibrated by tail-probability estimates.