English

Fractional Brownian Motion Limit for a Model of Turbulent Transport

Probability 2007-05-23 v1 Dynamical Systems

Abstract

Passive scalar motion in a family of random Gaussian velocity fields with long-range correlations is shown to converge to persistent fractional Brownian motions in long times.

Keywords

Cite

@article{arxiv.math/9906052,
  title  = {Fractional Brownian Motion Limit for a Model of Turbulent Transport},
  author = {Albert Fannjiang and Tomasz Komorowski},
  journal= {arXiv preprint arXiv:math/9906052},
  year   = {2007}
}