Derives precise large-N asymptotics for disconnected and connected DSFF components in the elliptic Ginibre ensemble for all γ ≥ 0, α ≥ 0, characterizing dip-ramp-plateau structures and a mesoscopic interpolating regime.
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For random normal matrices, the scaled variance of eigenvalue count in an interior Borel set A converges to a boundary integral of sqrt(ΔQ) with respect to Hausdorff measure; a similar result holds near the droplet edge using harmonic measure.
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Dissipative Spectral Form Factor of the Complex Elliptic Ginibre Ensemble across Various Non-Hermiticity Regimes
Derives precise large-N asymptotics for disconnected and connected DSFF components in the elliptic Ginibre ensemble for all γ ≥ 0, α ≥ 0, characterizing dip-ramp-plateau structures and a mesoscopic interpolating regime.
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Universality for fluctuations of counting statistics of random normal matrices
For random normal matrices, the scaled variance of eigenvalue count in an interior Borel set A converges to a boundary integral of sqrt(ΔQ) with respect to Hausdorff measure; a similar result holds near the droplet edge using harmonic measure.
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