@article{Metzler2019,
  author    = {Metzler, Ralf},
  title     = {Brownian motion and beyond: first-passage, power spectrum, non-Gaussianity, and anomalous diffusion},
  series = {Journal of statistical mechanics: theory and experiment},
  volume    = {2019},
  journal   = {Journal of statistical mechanics: theory and experiment},
  number    = {11},
  publisher = {IOP Publ. Ltd.},
  address   = {Bristol},
  issn      = {1742-5468},
  doi       = {10.1088/1742-5468/ab4988},
  pages     = {18},
  year      = {2019},
  abstract  = {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 exists a very large range of applications of stochastic processes in various disciplines. Here we provide a summary of some of the recent developments in the field of stochastic processes, highlighting both the experimental findings and theoretical frameworks.},
  language  = {en}
}
@article{TeomyRoichmanShokef2019,
  author    = {Teomy, Eial and Roichman, Yael and Shokef, Yair},
  title     = {Multiple peaks in the displacement distribution of active random walkers},
  series = {Journal of statistical mechanics: theory and experiment},
  volume    = {2019},
  journal   = {Journal of statistical mechanics: theory and experiment},
  number    = {11},
  publisher = {IOP Publ. Ltd.},
  address   = {Bristol},
  issn      = {1742-5468},
  doi       = {10.1088/1742-5468/ab4fde},
  pages     = {22},
  year      = {2019},
  abstract  = {We consider a simple model for active random walk with general temporal correlations, and investigate the shape of the probability distribution function of the displacement during a short time interval. We find that under certain conditions the distribution exhibits multiple peaks and we show analytically and numerically that the existence of these peaks is governed by the walker?s tendency to move forward, while the correlations between the timing of its active motion control the magnitude and shape of the peaks. In particular, we find that in a homogeneous system such peaks can occur only if the persistence is strong enough.},
  language  = {en}
}