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cond-mat.stat-mech2023★ 30 cited
Modelling intermittent anomalous diffusion with switching fractional Brownian motion
Michał Balcerek, Agnieszka Wyłomańska, Krzysztof Burnecki +2
The stochastic trajectories of molecules in living cells, as well as the dynamics in many other complex systems, often exhibit memory in their path over long periods of time. In ad…
cond-mat.stat-mech2023★ 2 cited
Memory-multi-fractional Brownian motion with continuous correlations
Wei Wang, Michal Balcerek, Krzysztof Burnecki +6
We propose a generalization of the widely used fractional Brownian motion (FBM), memory-multi-FBM (MMFBM), to describe viscoelastic or persistent anomalous diffusion with time-depe…