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author | kurchan.jorge <kurchan.jorge@gmail.com> | 2020-12-13 10:43:55 +0000 |
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committer | overleaf <overleaf@localhost> | 2020-12-13 19:55:36 +0000 |
commit | 4ad9a04821a4f1d3e8a52d41e0eafc1b38eba7ea (patch) | |
tree | fc5fa267c5e881cb43942ba14dc7e53bdbd6d5b2 | |
parent | dbe3cca79ded2d6dbd7a8a80702416f09e93f12e (diff) | |
download | PRR_3_023064-4ad9a04821a4f1d3e8a52d41e0eafc1b38eba7ea.tar.gz PRR_3_023064-4ad9a04821a4f1d3e8a52d41e0eafc1b38eba7ea.tar.bz2 PRR_3_023064-4ad9a04821a4f1d3e8a52d41e0eafc1b38eba7ea.zip |
Update on Overleaf.
-rw-r--r-- | bezout.tex | 4 |
1 files changed, 2 insertions, 2 deletions
@@ -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} |