The statistical quantities concerning the momentum flux in the Rayleigh–Benard convection are investigated in detail. The transition from soft turbulence to hard turbulence is captured through the momentum flux. The time series of the momentum flux is studied and its power spectrum shows the...

We propose a new approach for analyzing price fluctuations in their strongly correlated regime ranging from minutes to months. This is done by employing a self-similarity assumption for the magnitude of coarse-grained price fluctuation or volatility. The existence of a Cramér function, the...

The paper proposes an approach to evaluate hypotheses about transition dynamics when only the distributions at two points in time are observed. Using principles of statistical mechanics, we show how to adjust in the "most probable" way a hypothesis such that it becomes compatible with the...

This note presents a Kolmogorov inequality for the partial sums of a sequence of independent Bernoulli random variables with unequal means.