17 citations · 49 across the 16 of their papers we have counts for
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math.DS2003
Dissipation time and decay of correlations
A. Fannjiang, S. Nonnenmacher, L. Wolowski
We consider the effect of noise on the dynamics generated by volume-preserving maps on a d-dimensional torus. The quantity we use to measure the irreversibility of the dynamics is…
math-ph2003★ 2 cited
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…
math-ph2003
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…