9 papers
Exactly solvable diffusions from space-time transformations
Costantino Di Bello, Ãdgar Roldán, Ralf Metzler
We consider a general one-dimensional overdamped diffusion model described by the Itô stochastic differential equation (SDE) , where is the…
Heterogeneous diffusion in an harmonic potential: the role of the interpretation
Adrian Pacheco-Pozo, Igor M. Sokolov, Ralf Metzler +1
Diffusion in heterogeneous energy and diffusivity landscapes is widespread in biological systems. However, solving the Langevin equation in such environments introduces ambiguity d…
Multifractional Brownian motion with telegraphic, stochastically varying exponent
MichaÅ Balcerek, Samudrajit Thapa, Krzysztof Burnecki +4
The diversity of diffusive systems exhibiting long-range correlations characterized by a stochastically varying Hurst exponent calls for a generic multifractional model. We present…
Mapping AI Avant-Gardes in Time: Posthumanism, Transhumanism, Genhumanism
James Brusseau
Three directions for the AI avant-garde are sketched against the background of time. Posthumanism changes what we are, and belongs to the radical future. Transhumanism changes how…
Pb transport on Si(111)-(7x7) following tip induced imbalance
Paul Philip Schmidt, Felix Hartmann, Lea Faber +3
Pb on Si(111)-(7x7) shows surprising nucleation and mass transport dynamics at odds with standard theories. To create local imbalances on stable Pb islands we use the tip of a scan…
Change-point detection in anomalous-diffusion trajectories utilising machine-learning-based uncertainty estimates
Henrik Seckler, Ralf Metzler
When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory.…