310 citations · 3.3k across the 60 of their papers we have counts for
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cond-mat.stat-mech2010★ 45 cited
Markovian embedding of fractional superdiffusion
P. Siegle, I. Goychuk, P. Hanggi
The Fractional Langevin Equation (FLE) describes a non-Markovian Generalized Brownian Motion with long time persistence (superdiffusion), or anti-persistence (subdiffusion) of both…
cond-mat.stat-mech2010★ 102 cited
Origin of hyperdiffusion in generalized Brownian motion
P. Siegle, I. Goychuk, P. Hanggi
We study a minimal non-Markovian model of superdiffusion which originates from long-range velocity correlations within the generalized Langevin equation (GLE) approach. The model a…
cond-mat.stat-mech2010★ 42 cited
Subdiffusive Brownian ratchets rocked by a periodic force
Igor Goychuk
This work puts forward a generalization of the well-known rocking Markovian Brownian ratchets to the realm of antipersistent non-Markovian subdiffusion in viscoelastic media. A per…