61 citations · 157 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2021★ 35 cited
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\…
cond-mat.stat-mech2020
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…
cond-mat.stat-mech2019★ 61 cited
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…