From ca43a6bd0baff60acf0e2e3dba1d7f6170aed00c Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 7 Dec 2020 16:56:48 +0100 Subject: Added silly citation. --- bezout.tex | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) (limited to 'bezout.tex') diff --git a/bezout.tex b/bezout.tex index 87b0a9f..42d4b14 100644 --- a/bezout.tex +++ b/bezout.tex @@ -144,7 +144,12 @@ problem and to our knowledge a closed form for arbitrary $\kappa$ is not known. We have worked out an implicit form for this spectrum using the saddle point of a replica calculation for the Green function. blah blah blah\dots -The transition from a one-cut to two-cut singular value spectrum naturally corresponds to the origin leaving the support of the eigenvalue spectrum. Weyl's theorem requires that the product over the norm of all eigenvalues must not be greater than the product over all singular values. Therefore, the absence of zero eigenvalues implies the absence of zero singular values. +The transition from a one-cut to two-cut singular value spectrum naturally +corresponds to the origin leaving the support of the eigenvalue spectrum. +Weyl's theorem requires that the product over the norm of all eigenvalues must +not be greater than the product over all singular values \cite{Weyl_1912_Das}. +Therefore, the absence of zero eigenvalues implies the absence of zero singular +values. \bibliographystyle{apsrev4-2} \bibliography{bezout} -- cgit v1.2.3-54-g00ecf