Limit Theorems for “Random Flights”

The article discusses the asymptotic behavior of a particle performing so-called “random flight.” In recent work by Davydov–Konakov (2017), when moments Tk changing direction form an inhomogeneous Poisson process, it was shown that, depending on nature inhomogeneity, three variants limiting distribution arise naturally for zoomed trajectory. purpose this is to show that these options are preserved under much more general assumptions about sequence (Tk).