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| -rw-r--r-- | stokes.tex | 4 |
1 files changed, 2 insertions, 2 deletions
@@ -32,8 +32,8 @@ variables. Unlike real landscapes, the classification of saddles by index is trivial. Instead, the spectrum of fluctuations at stationary points determines their topological stability under analytic continuation of the - theory. Topological changes, which occur at so-called Stokes points, proliferate when the - saddles have marginal (flat) directions and are suppressed + theory. Topological changes, which occur at so-called Stokes points, proliferate among + saddles with marginal (flat) directions and are suppressed otherwise. This gives a direct interpretation of the gap or `threshold' energy---which in the real case separates saddles from minima---as the level where the spectrum of the hessian matrix of stationary points develops a gap. This leads to different consequences |