Abstract
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.
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Blei, R. (2002). How Random Are Random Walks?. In: Dalang, R.C., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications III. Progress in Probability, vol 52. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8209-5_2
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DOI: https://doi.org/10.1007/978-3-0348-8209-5_2
Publisher Name: Birkhäuser, Basel
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