2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129058Multi-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.9 pages, 6 figures, accepted for publication in Phys. Lett. AStatistical MechanicsChaotic Dynamicstext