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Journal
2010 | 8 | 5 | 699-708
Article title

Lévy flights and Lévy-Schrödinger semigroups

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EN
Abstracts
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.
Publisher

Journal
Year
Volume
8
Issue
5
Pages
699-708
Physical description
Dates
published
1 - 10 - 2010
online
22 - 7 - 2010
Contributors
  • Institute of Physics, University of Opole, 45-052, Opole, Poland, pgar@uni.opole.pl
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0156-z
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