  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.
