Non-Gaussian limit of a tracer motion in an incompressible flow

Tomasz Komorowski, Anna Talarczyk Studia Mathematica 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.

Authors

  • Tomasz KomorowskiInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    e-mail
  • Anna TalarczykInstitute of Mathematics
    University of Warsaw
    Banacha 2
    02-097 Warszawa, Poland
    and
    Institute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    e-mail

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