102 citations · 240 across the 3 of their papers we have counts for
3 papers
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-mech2009★ 93 cited
Markovian embedding of non-Markovian superdiffusion
Peter Siegle, Igor Goychuk, Peter Talkner +1
We consider different Markovian embedding schemes of non-Markovian stochastic processes that are described by generalized Langevin equations (GLE) and obey thermal detailed balance…