1.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- National Academy of Sciences of UkraineUA148 papers
- V. N. Karazin Kharkiv National UniversityUA83 papers
- Jilin UniversityCN46 papers
- Centre National de la Recherche ScientifiqueFR27 papers
- Observatoire de ParisFR22 papers
- State Key Laboratory on Integrated OptoelectronicsCN22 papers
- O.Ya. Usikov Institute for Radiophysics and ElectronicsUA20 papers
- Space Research InstituteRU20 papers
- Austrian Academy of SciencesAT18 papers
- Laboratoire d’études spatiales et d’instrumentation en astrophysiqueFR18 papers
- Bar-Ilan UniversityIL15 papers
- Technion – Israel Institute of TechnologyIL14 papers
9 papers · 2 filters
Fractional dynamics from the ordinary Langevin equation
Aleksander Stanislavsky
We consider the usual Langevin equation depending on an internal time. This parameter is substituted by a first passage time of a self-similar Markov process. Then the Gaussian pro…
The Stochastic Nature of Complexity Evolution in the Fractional Systems
Aleksander Stanislavsky
The stochastic scenario of relaxation in the complex systems is presented. It is based on a general probabilistic formalism of limit theorems. The nonexponential relaxation is show…
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…
Fractional oscillator
Aleksander Stanislavsky
We consider the fractional oscillator being a generalization of the conventional linear oscillator in the framework of fractional calculus. It is interpreted as an ensemble average…
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…
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…
Subordination model of anomalous diffusion leading to the two-power-law relaxation responses
Aleksander Stanislavsky, Karina Weron, Justyna Trzmiel
We derive a general pattern of the nonexponential, two-power-law relaxation from the compound subordination theory of random processes applied to anomalous diffusion. The subordina…
Anomalous diffusion. A competition between the very large jumps in physical and operational times
Aleksander Stanislavsky, Karina Weron
In this paper we analyze a coupling between the very large jumps in physical and operational times as applied to anomalous diffusion. The approach is based on subordination of a sk…