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-rw-r--r--stokes.tex4
1 files changed, 2 insertions, 2 deletions
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