From 3455192408236df78bbbd9673cf849e818a14f73 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Tue, 12 Apr 2022 21:52:35 +0200 Subject: Two small fixes. --- stokes.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'stokes.tex') diff --git a/stokes.tex b/stokes.tex index d9feafe..46ac6cf 100644 --- a/stokes.tex +++ b/stokes.tex @@ -42,7 +42,7 @@ beyond a threshold, their hessians are gapped, and are locally protected from Stokes points, whereas those of `many step replica-symmetry broken' have gapless hessians and Stokes points immediately proliferate. - A new matrix ensemble is found, playing the role that GUE plays for real landscapes in determining + A new matrix ensemble is found, playing the role that GOE plays for real landscapes in determining the topological nature of saddles. \end{abstract} @@ -589,7 +589,7 @@ known as the global connection problem \cite{Howls_1997_Hyperasymptotics}. It is also difficult for us to reason rigorously about the properties of stationary point adjacency. However, we have a coarse argument for why, in generic cases with random actions, one should expect the typical number of adjacent -stationary points to scale with a polynomial with dimension. First, notice that in +stationary points to scale algebraically with dimension. First, notice that in order for two stationary points to be eligible to share a Stokes point, their thimbles must approach the same `good' region of complex configuration space. This is because weight is traded at Stokes points when a facet of one thimble flops over another between good regions. Therefore, one can draw -- cgit v1.2.3-70-g09d2