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| -rw-r--r-- | bezout.tex | 12 | ||||
| -rw-r--r-- | fig/complexity.pdf | bin | 0 -> 21559 bytes | |||
| -rw-r--r-- | fig/desert.pdf | bin | 22875 -> 22763 bytes |
3 files changed, 11 insertions, 1 deletions
@@ -320,10 +320,20 @@ Consider for example the ground-state energy for given $a$, that is, the energy \begin{figure}[htpb] \centering + \includegraphics{fig/complexity.pdf} + \caption{ + The complexity of the pure 3-spin model at $\epsilon=0$ as a function of + $a$ at several values of $\kappa$. The dashed line shows + $\frac12\log(p-1)$, while the dotted shows $\log(p-1)$. + } +\end{figure} + +\begin{figure}[htpb] + \centering \includegraphics{fig/desert.pdf} \caption{ The minimum value of $a$ for which the complexity is positive as a function - of (real) energy $\epsilon$ for the pure 4-spin model at several values of + of (real) energy $\epsilon$ for the pure 3-spin model at several values of $\kappa$. } \end{figure} diff --git a/fig/complexity.pdf b/fig/complexity.pdf Binary files differnew file mode 100644 index 0000000..66024b1 --- /dev/null +++ b/fig/complexity.pdf diff --git a/fig/desert.pdf b/fig/desert.pdf Binary files differindex a5af1fa..9ced83f 100644 --- a/fig/desert.pdf +++ b/fig/desert.pdf |