How does a systematic time-dependence of the diffusion coefficient D (t) affect the ergodic
and statistical characteristics of fractional Brownian motion (FBM)? Here, we answer this …

This review examines the biological physics of intracellular transport probed by the coherent
optics of dynamic light scattering from optically thick living tissues. Cells and their …

How do nonlinear clocks in time and/or space affect the fundamental properties of a
stochastic process? Specifically, how precisely may ergodic processes such as fractional …

How different are the results of constant-rate resetting of anomalous-diffusion processes in
terms of their ensemble-averaged versus time-averaged mean-squared displacements …

Heterogeneous diffusion processes (HDPs) feature a space-dependent diffusivity of the form
D (x)= D 0| x| α. Such processes yield anomalous diffusion and weak ergodicity breaking …

How do near-bankruptcy events in the past affect the dynamics of stock-market prices in the
future? Specifically, what are the long-time properties of a time-local exponential growth of …

How related are the ergodic properties of the over-and underdamped Langevin equations
driven by fractional Gaussian noise? We here find that for massive particles performing …

We investigate an intermittent stochastic process in which diffusive motion with a time-
dependent diffusion coefficient, D (t)∼ t α− 1, α> 0 (scaled Brownian motion), is …

Ultraslow diffusion is characterized by a logarithmic growth of the mean squared
displacement (MSD) as a function of time. It occurs in complex arrangements of molecules …

Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent
diffusivity: striking differences for massive versus massless particles - IOPscience Skip to …