61 citations · 215 across the 5 of their papers we have counts for
4 papers
Absence of confinement and non-Boltzmann stationary states of fractional Brownian motion in shallow external potentials
Tobias Guggenberger, Aleksei V. Chechkin, Ralf Metzler
We study the diffusive motion of a particle in a subharmonic potential of the form () driven by long-range correlated, stationary fractional Gaussian noise $ξ_α…
Fractional Brownian motion in superharmonic potentials and non-Boltzmann stationary distributions
Tobias Guggenberger, Aleksei Chechkin, Ralf Metzler
We study the stochastic motion of particles driven by long-range correlated fractional Gaussian noise in a superharmonic external potential of the form ($n\in\…
Reflected fractional Brownian motion in one and higher dimensions
Thomas Vojta, Samuel Halladay, Sarah Skinner +3
Fractional Brownian motion (FBM), a non-Markovian self-similar Gaussian stochastic process with long-ranged correlations, represents a widely applied, paradigmatic mathematical mod…
Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries
T. Guggenberger, G. Pagnini, T. Vojta +1
Fractional Brownian motion is a Gaussian stochastic process with stationary, long-time correlated increments and is frequently used to model anomalous diffusion processes. We study…