  Brownian motion is a ubiquitous physical phenomenon across the sciences.
After its discovery by Brown and intensive study since the first half of the
20th century, many different aspects of Brownian motion and stochastic
processes in general have been addressed in Statistical Physics. In particular,
there now exist a very large range of applications of stochastic processes in
various disciplines. Here, we highlight some of the advances in stochastic
processes prompted by novel experimental methods such as superresolution
microscopy. Here we provide a summary of some of the recent developments
highlighting both the experimental findings and theoretical frameworks.
