From 4ad9a04821a4f1d3e8a52d41e0eafc1b38eba7ea Mon Sep 17 00:00:00 2001 From: "kurchan.jorge" Date: Sun, 13 Dec 2020 10:43:55 +0000 Subject: Update on Overleaf. --- bezout.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/bezout.tex b/bezout.tex index 2c10de4..4ec1f46 100644 --- a/bezout.tex +++ b/bezout.tex @@ -118,7 +118,7 @@ We see from (\ref{cosa}) that at any critical point, $\epsilon=H/N$, the average Since $H$ is holomorphic, any critical point of $\operatorname{Re}H$ is also a critical point of $\operatorname{Im}H$. The number of critical points of $H$ is therefore the same as that of $\operatorname{Re}H$. From each saddle -emerges a gradient line of $\operatorname{Re}H$, which is also one of constant +emerge a gradient lines of $\operatorname{Re}H$, which is also one of constant $\operatorname{Im}H$ and therefore constant phase. Writing $z=x+iy$, $\operatorname{Re}H$ can be considered a real-valued function @@ -441,7 +441,7 @@ threshold level, where the system develops a mid-spectrum gap, will play a crucial role as it does in the real case. \begin{acknowledgments} -We wish to thank Alexander Altland for a useful suggestion. +We wish to thank Alexander Altland, Satya Majumdar and Gregory Schehr for a useful suggestions. JK-D and JK are supported by the Simons Foundation Grant No.~454943. \end{acknowledgments} -- cgit v1.2.3-70-g09d2