Independent velocity increments and Kolmogorov’s refined similarity hypotheses
Gustavo A. Stolovitzky, K. R. Sreenivasan · AIP conference proceedings · 1994
Under the assumption of statistical independence of velocity increments across scales of the order of the Kolmogorov scale, it is shown that a modified version of Kolmogorov’s refined similarity hypotheses follows purely from probabilistic arguments. The connection of this result to three‐dimensional fluid turbulence is discussed briefly.