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| -rw-r--r-- | stokes.tex | 6 |
1 files changed, 3 insertions, 3 deletions
@@ -1026,9 +1026,9 @@ $\chi_{\alpha\beta}=\chi_0\delta_{\alpha\beta}$. The result is \caption{ Eigenvalue and singular value spectra of a random matrix $B=A+\lambda_0I$, where the entries of $A$ are complex-normal distributed with $\overline{|A_{ij}|^2}=\Gamma_0=1$ and $\overline{A_{ij}^2}=C_0=\frac7{10}e^{i\pi/8}$. The diaginal shifts differ in each plot, with (a) $\lambda_0=0$, (b) - $\lambda_0=\frac12|\lambda_{\mathrm{th}}|$, (c) - $\lambda_0=|\lambda_{\mathrm{th}}|$, and (d) - $\lambda_0=\frac32|\lambda_{\mathrm{th}}|$. The shaded region of each + $\lambda_0=\frac12|\lambda_{\mathrm{gap}}|$, (c) + $\lambda_0=|\lambda_{\mathrm{gap}}|$, and (d) + $\lambda_0=\frac32|\lambda_{\mathrm{gap}}|$. The shaded region of each inset shows the support of the eigenvalue distribution \eqref{eq:ellipse}. The solid line on each plot shows the distribution of singular values \eqref{eq:spectral.density}, while the overlaid histogram shows the |