Title: Lѐvy walks: explicit densities and aging
Author: Tomasz Zorawik
Abstract:
We present some newest results regarding the probability distributions and aging property of Levy walks in the ballistic regime. In particular we
show that asymptotic densities of 3D isotropic Lѐvy walks are given by el-ementary functions. In 2D the result for PDF is more complicated and
requires a fractional derivative and hypergeometric functions. We also explain how aging changes the PDF and MSD of Lѐvy walks and two other
closely related models of anomalous diffusion – wait- rst and jump- rst Lѐvy walks. It turns out that despite the similarities the models react differently to a delay ta between the initialization of the process and the beginning of observations.