The fundamental connection between fractional calculus and subordination processes is explored and affords a physical interpretation of a fractional trajectory, that being an average over an ensemble of stochastic trajectories. Heretofore what has been interpreted as intrinsic friction, a form...

Herein we develop a psychophysical model of decision making based on the difference between objective clock time and the human brain’s perception of time. In this model the utility function is given by the survival probability, which is shown to be a generalized hyperbolic distribution. The...

Habituation is the reversible decrement in the behavior response to a novel and repeating stimulus without a corresponding change in the strength of the stimulus. Dishabituation is a complementary phenomenon in which a habituated process is revitalized by presenting a complex stimulus that is...

Most data processing techniques, applied to biomedical and sociological time series, are only valid for random fluctuations that are stationary in time. Unfortunately, these data are often non-stationary and the use of techniques of analysis resting on the stationary assumption can produce a...

This paper is devoted to the problem of statistical mechanics raised by the analysis of an issue of sociological interest: the teen birth phenomenon. It is expected that these data are characterized by correlated fluctuations, reflecting the cooperative properties of the process. However, the...

A rigorous and general approach is developed to the relaxation of molecular dipoles on the microscopic scale, embodied in the orientational time-autocorrelation function. The usual difficulties of using the stochastic Liouville equation (SLE) are bypassed by replacing the cumulant expansion with...