98 citations · 330 across the 13 of their papers we have counts for
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Stochastic Tools Hidden Behind the Empirical Dielectric Relaxation Laws
Aleksander Stanislavsky, Karina Weron
The paper is devoted to recent advances in stochastic modeling of anomalous kinetic processes observed in dielectric materials which are prominent examples of disordered (complex)…
Two-time scale subordination in physical processes with long-term memory
Aleksander Stanislavsky, Karina Weron
We use the two-time scale subordination in order to describe dynamical processes in continuous media with a long-term memory. Our consideration touches two physical examples in det…
Subordination scenario of anomalous relaxation
Aleksander Stanislavsky, Karina Weron
The non-exponential relaxation is shown to result from subordination by inverse tempered α-stable processes. The main feature of tempered α-stable processes is a finiteness of thei…
Tempered relaxation with clustering patterns
Aleksander Stanislavsky, Karina Weron
This work is motivated by the relaxation data for materials which exhibit a change of the relationship between the fractional power-law exponents when different relaxation peaks in…
Experimental Evidence of the Role of Compound Counting Processes in Random Walk Approaches to Fractional Dynamics
Justyna Trzmiel, Karina Weron, Aleksander Stanislavsky +1
We present dielectric spectroscopy data obtained for gallium-doped CdMnTe:Ga mixed crystals which exhibit a very special case of the two-power-law relaxation patt…
Diffusion and Relaxation Controlled by Tempered α-stable Processes
Aleksander Stanislavsky, Karina Weron, Aleksander Weron
We derive general properties of anomalous diffusion and nonexponential relaxation from the theory of tempered α-stable processes. Its most important application is to overcome the…