Non-Gaussian limit of a tracer motion in an incompressible flow
Volume 264 / 2022
Studia Mathematica 264 (2022), 27-69
MSC: Primary 60H25, 60F17; Secondary 76F25, 60G18.
DOI: 10.4064/sm201107-7-4
Published online: 29 November 2021
Abstract
We consider a massless tracer particle moving in a random, stationary, isotropic and divergence free velocity field. We identify a class of fields for which the limit of the laws of appropriately scaled tracer trajectory processes is a non-Gaussian Rosenblatt type process.
