71 citations · 494 across the 58 of their papers we have counts for
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Path-wise versus kinetic modeling for equilibrating non-Langevin jump-type processes
Mariusz Żaba, Piotr Garbaczewski, Vladimir Stephanovich
We discuss two independent methods of solution of a master equation whose biased jump transition rates account for long jumps of Lévy-stable type and nonetheless admit a Boltzmanni…
Trajectory statistics of confined Lévy flights and Boltzmann-type equilibria
Mariusz Zaba, Piotr Garbaczewski, Vladimir Stephanovich
We analyze a specific class of random systems that are driven by a symmetric Lévy stable noise, where Langevin representation is absent. In view of the Lévy noise sensitivity to en…
Thermalization of Levy flights: Path-wise picture in 2D
Mariusz Zaba, Piotr Garbaczewski
We analyze two-dimensional (2D) random systems driven by a symmetric Lévy stable noise which, under the sole influence of external (force) potentials , asymptotically set do…
Levy flights and nonlocal quantum dynamics
Piotr Garbaczewski, Vladimir Stephanovich
We develop a fully fledged theory of quantum dynamical patterns of behavior that are nonlocally induced. To this end we generalize the standard Laplacian-based framework of the Sch…