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 …

We study the diffusion of particles confined close to a single wall and in double-wall planar
channel geometries where the local diffusivities depend on the distance to the boundaries …

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

Single particle tracking allows probing how biomolecules interact physically with their
natural environments. A fundamental challenge when analysing recorded single particle …

Diffusion processes are important in several physical, chemical, biological and human
phenomena. Examples include molecular encounters in reactions, cellular signalling, the …

Characterization of composite materials, whose properties vary in space over microscopic
scales, has become a problem of broad interdisciplinary interest. In particular, estimation of …

The deviation from pure Brownian motion, generally referred to as anomalous diffusion, has
received large attention in the scientific literature to describe many physical scenarios …

In this article, we introduce a new method to detect transient trap** events within a single
particle trajectory, thus allowing the explicit accounting of changes in the particle's dynamics …

Motivation Single-molecule localization microscopy allows studying the dynamics of
biomolecules in cells and resolving the biophysical properties of the molecules and their …

We present a Bayesian framework for inferring spatio-temporal maps of diffusivity and
potential fields from recorded trajectories of single molecules inside living cells. The …