We present a systematic statistical analysis of the recently measured individual trajectories
of fluorescently labeled telomeres in the nucleus of living human cells. The experiments …

In this survey paper we present a systematic methodology which demonstrates how to
identify the origins of fractional dynamics. We consider three mechanisms which lead to it …

Accurately characterizing the anomalous diffusion of a tracer particle has become a central
issue in biophysics. However, measurement errors raise difficulty in the characterization of …

The mean-squared displacement (MSD) and velocity autocorrelation (VAC) of tracked single
particles or molecules are ubiquitous metrics for extracting parameters that describe the …

In this paper we propose a new approach for the analysis of experimental data based on the
fractional Lévy stable motion (FLSM) and apply it to the Golding–Cox mRNA dataset. The …

Anomalous diffusion processes in many complex systems are frequently described by the
diffusion equation with a time-dependent diffusion coefficient. This paper introduces an …

In this paper we present an identification and validation scheme for stable autoregressive
fractionally integrated moving average (ARFIMA) time series. The identification part relies on …

One of the most important problems in studies of building environment is a description of
how it is influenced by various dynamically changing factors. In this paper we characterized …

In this paper we show fractional autoregressive integrated moving average (FARIMA) time
series with a negative memory parameter and stable non-Gaussian noise model movements …

In this paper we show that an autoregressive fractionally integrated moving average time-
series model can identify two types of motion of membrane proteins on the surface of …