58 citations · 248 across the 10 of their papers we have counts for
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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…
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…
Fractional Brownian motion with random Hurst exponent: accelerating diffusion and persistence transitions
Michał Balcerek, Krzysztof Burnecki, Samudrajit Thapa +2
Fractional Brownian motion, a Gaussian non-Markovian self-similar process with stationary long-correlated increments, has been identified to give rise to the anomalous diffusion be…
Random coefficient autoregressive processes describe Brownian yet non-Gaussian diffusion in heterogeneous systems
Jakub Ślęzak, Krzysztof Burnecki, Ralf Metzler
Many studies on biological and soft matter systems report the joint presence of a linear mean-squared displacement and a non-Gaussian probability density exhibiting, for instance,…