Fractional Levy motion through path integrals
Journal Article
·
· Journal of Physics A-Mathematical and Theoretical
- CIEMAT, Madrid
- ORNL
- BACV Solutions, Inc., Oak Ridge
Fractional Levy motion (fLm) is the natural generalization of fractional Brownian motion in the context of self-similar stochastic processes and stable probability distributions. In this paper we give an explicit derivation of the propagator of fLm by using path integral methods. The propagators of Brownian motion and fractional Brownian motion are recovered as particular cases. The fractional diffusion equation corresponding to fLm is also obtained.
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC05-00OR22725
- OSTI ID:
- 945341
- Journal Information:
- Journal of Physics A-Mathematical and Theoretical, Vol. 42, Issue 5
- Country of Publication:
- United States
- Language:
- English
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