98 citations · 645 across the 57 of their papers we have counts for
5 papers · 1 filter
Relaxation Time of Quantized Toral Maps
A. Fannjiang, S. Nonnenmacher, L. Wolowski
We introduce the notion of the relaxation time for noisy quantum maps on the 2d-dimensional torus - a generalization of previously studied dissipation time. We show that relaxation…
Self-Averaged Scaling Limits for Random Parabolic Waves
Albert C. Fannjiang
We consider 6 types of scaling limits for the Wigner-Moyal equation of the parabolic waves in random media, the limiting cases of which include the radiative transfer limit, the di…
Scaling Limits for Beam Wave Propagation in Atmospheric Turbulence
Albert Fannjiang, Knut Solna
We prove the convergence of the solutions of the parabolic wave equation to that of the Gaussian white-noise model widely used in the physical literature. The random medium is isot…
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…
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…