For products of rectangular complex Ginibre matrices, the depth-to-width ratio Delta is the sharp threshold: Delta tending to 0 gives Airy kernel edge statistics, Delta tending to infinity gives Gaussian edge fluctuations.
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Edge statistics for singular values of products of rectangular complex Ginibre matrices
For products of rectangular complex Ginibre matrices, the depth-to-width ratio Delta is the sharp threshold: Delta tending to 0 gives Airy kernel edge statistics, Delta tending to infinity gives Gaussian edge fluctuations.