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  1. 1 Garbaczewski P.

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Lévy flights and Lévy-Schrödinger semigroups

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Garbaczewski P.
Open Physics
|
2010
|
vol. 8
|
issue 5
699-708
EN
We analyze two different confining mechanisms for Lévy flights in the presence of external potentials. One of them is due to a conservative force in the corresponding Langevin equation. Another is implemented by Lévy-Schrödinger semigroups which induce so-called topological Lévy processes (Lévy flights with locally modified jump rates in the master equation). Given a stationary probability function (pdf) associated with the Langevin-based fractional Fokker-Planck equation, we demonstrate that generically there exists a topological Lévy process with the same invariant pdf and in reverse.
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