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19982024
most citedDiffusion and Relaxation Controlled by Tempered α-stable Processes

98 citations · 805 across the 34 of their papers we have counts for

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Showing 2011Show all

19 papers · 1 filter

astro-ph.IM2011★ 7 cited

Heliograph of the UTR-2 Radio Telescope

Aleksander Stanislavsky, Artem Koval, Aleksander Konovalenko +1

The broadband analog-digital heliograph based on the UTR-2 radio telescope is described in detail. This device operates by employing the parallel-series principle when five equi-sp…

math-ph2011★ 37 cited

Twist of fractional oscillations

Aleksander Stanislavsky

Using the method of the Laplace transform, we consider fractional oscillations. They are obtained by the time-clock randomization of ordinary harmonic vibrations. In contrast to si…

cond-mat.stat-mech2011★ 49 cited

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…

q-fin.PR2011★ 20 cited

Black-Scholes model under subordination

Aleksander Stanislavsky

In this paper we consider a new mathematical extension of the Black-Scholes model in which the stochastic time and stock share price evolution is described by two independent rando…

cond-mat.stat-mech2011★ 16 cited

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…

astro-ph.SR2011★ 10 cited

Subdiffusive transport in intergranular lanes on the Sun. The Leighton model revisited

Aleksander Stanislavsky, Karina Weron

In this paper we consider a random motion of magnetic bright points (MBP) associated with magnetic fields at the solar photosphere. The MBP transport in the short time range [0-20…