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Multi-scaling properties of truncated Levy flights

Hiroya Nakao
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Abstract

Multi-scaling properties of one-dimensional truncated Levy flights are studied. Due to the broken self-similarity of the distribution of jumps, they are expected to possess multi-scaling properties in contrast to the ordinary Levy flights. We argue this fact based on a smoothly truncated Levy distribution, and derive the functional form of the scaling exponents. Specifically, they exhibit bi-fractal behavior, which is the simplest case of multi-scaling.

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Hiroya Nakao. 2000-02-02. Multi-scaling properties of truncated Levy flights. https://doi.org/10.1016/s0375-9601(00)00059-1

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