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19972026
most citedMatrix approach to discrete fractional calculus II: partial fractional differential equations

461 citations · 5.5k across the 112 of their papers we have counts for

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Showing 2018 · cond-mat.stat-mechShow all

8 papers · 2 filters

cond-mat.stat-mech2018★ 114 cited

Scaled Brownian motion with renewal resetting

Anna S. Bodrova, Aleksei V. Chechkin, Igor M. Sokolov

We investigate an intermittent stochastic process in which the diffusive motion with time-dependent diffusion coefficient with (scaled Brownian motion) i…

cond-mat.stat-mech2018★ 87 cited

Non-renewal resetting of scaled Brownian motion

Anna S. Bodrova, Aleksei V. Chechkin, Igor M. Sokolov

We investigate an intermittent stochastic process, in which the diffusive motion with time-dependent diffusion coefficient , (scaled Brownian motion), is st…

cond-mat.stat-mech2018★ 13 cited

Probabilistic properties of detrended fluctuation analysis for Gaussian processes

G. Sikora, M. Hoell, A. Wylomanska +3

The detrended fluctuation analysis (DFA) is one of the most widely used tools for the detection of long-range correlations in time series. Although DFA has found many interesting a…

cond-mat.stat-mech2018★ 157 cited

Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion

V. Sposini, A. V. Chechkin, F. Seno +2

A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time…

cond-mat.stat-mech2018

Brownian yet non-Gaussian diffusion in heterogeneous media: from superstatistics to homogenization

E. B. Postnikov, A. Chechkin, I. M. Sokolov

We discuss the situations under which Brownian yet non-Gaussian (BnG) diffusion can be observed in the model of a particle's motion in a random landscape of diffusion coefficients…

cond-mat.stat-mech2018★ 57 cited

First passage statistics for diffusing diffusivity

V. Sposini, A. V. Chechkin, R. Metzler

A rapidly increasing number of systems is identified in which the stochastic motion of tracer particles follows the Brownian law yet the d…