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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-04-12 21:52:35 +0200 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-04-12 21:52:35 +0200 |
commit | 3455192408236df78bbbd9673cf849e818a14f73 (patch) | |
tree | 09e7af48febdb6ef71f10669081ee47d150f724f | |
parent | b48a7192884b2302bf2f2280b22ae991262ba03f (diff) | |
download | JPA_55_434006-3455192408236df78bbbd9673cf849e818a14f73.tar.gz JPA_55_434006-3455192408236df78bbbd9673cf849e818a14f73.tar.bz2 JPA_55_434006-3455192408236df78bbbd9673cf849e818a14f73.zip |
Two small fixes.
-rw-r--r-- | stokes.tex | 4 |
1 files changed, 2 insertions, 2 deletions
@@ -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 |