17 citations · 49 across the 16 of their papers we have counts for
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math-ph2002★ 4 cited
Convergence of Passive Scalars in Ornstein-Uhlenbeck Flows to Kraichnan's Model
Albert C. Fannjiang
We prove that the passive scalar field in the Ornstein-Uhlenbeck velocity field with wave-number dependent correlation times converges, in the white-noise limit, to that of Kraichn…
math-ph2002★ 3 cited
Richardson's Laws for Relative Dispersion in Colored-Noise Flows with Kolmogorov-type Spectra
Albert C. Fannjiang
We prove limit theorems for small-scale pair dispersion in velocity fields with power-law spatial spectra and wave-number dependent correlation times. This result establishes rigor…
math.DS2002★ 4 cited
Noise induced dissipation in Lebesgue-measure preserving maps on dimensional torus
Albert Fannjiang, Lech Wolowski
We consider dissipative systems resulting from the Gaussian and -stable noise perturbations of measure-preserving maps on the dimensional torus. We study the dissipation…