98 citations · 805 across the 34 of their papers we have counts for
13 papers · 1 filter
Poissonian resetting of subdiffusion in a linear potential
Aleksander A. Stanislavsky
Resetting a stochastic process is an important problem describing the evolution of physical, biological and other systems which are continually returned to their certain fixed poin…
Temperature and friction fluctuations inside a harmonic potential
Yann Lanoiselée, Aleksander Stanislavsky, Davide Calebiro +1
In this article we study the trapped motion of a molecule undergoing diffusivity fluctuations inside a harmonic potential. For the same diffusing-diffusivity process, we investigat…
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)…
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…