4 citations · 4 across the 2 of their papers we have counts for
4 papers
The stochastic acceleration problem in two dimensions
T. Komorowski, L. Ryzhik
We consider the motion of a particle in a two-dimensional spatially homogeneous mixing potential and show that its momentum converges to the Brownian motion on a circle. This compl…
On stationarity of Lagrangian observations of passive tracer velocity in a compressible environment
Tomasz Komorowski, Grzegorz Krupa
We study the transport of a passive tracer particle in a steady strongly mixing flow with a nonzero mean velocity. We show that there exists a probability measure under which the p…
Limit Theorems for Motions in a Flow with a Nonzero Drift
Albert Fannjiang, Tomasz Komorowski
We establish diffusion and fractional Brownian motion approximations for motions in a Markovian Gaussian random field with a nonzero mean.
Fractional Brownian Motion Limit for a Model of Turbulent Transport
Albert Fannjiang, Tomasz Komorowski
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.