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| -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 |