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| -rw-r--r-- | stokes.bib | 28 | ||||
| -rw-r--r-- | stokes.tex | 2 |
2 files changed, 29 insertions, 1 deletions
@@ -215,6 +215,34 @@ doi = {10.1103/physrevlett.71.173} } +@article{Derrida_1991_The, + author = {Derrida, B.}, + title = {The zeroes of the partition function of the random energy model}, + journal = {Physica A: Statistical Mechanics and its Applications}, + publisher = {Elsevier BV}, + year = {1991}, + month = {9}, + number = {1-3}, + volume = {177}, + pages = {31--37}, + url = {https://doi.org/10.1016%2F0378-4371%2891%2990130-5}, + doi = {10.1016/0378-4371(91)90130-5} +} + +@article{During_2010_Statistical, + author = {Düring, G. and Kurchan, J.}, + title = {Statistical mechanics of {Monte} {Carlo} sampling and the sign problem}, + journal = {EPL (Europhysics Letters)}, + publisher = {IOP Publishing}, + year = {2010}, + month = {12}, + number = {5}, + volume = {92}, + pages = {50004}, + url = {https://doi.org/10.1209%2F0295-5075%2F92%2F50004}, + doi = {10.1209/0295-5075/92/50004} +} + @article{Dyson_1962_A, author = {Dyson, Freeman J.}, title = {A {Brownian}-Motion Model for the Eigenvalues of a Random Matrix}, @@ -1454,7 +1454,7 @@ function of $\Delta$ and $\arg\delta$. \left(\frac{2\pi}\beta\right)^{D/2}i^k \left(|\det\operatorname{Hess}\mathcal S(s_\sigma)|^{-\frac12}\bigm|\mathcal S(s_\sigma)=N\epsilon,k_\sigma=k\right) e^{-\beta N\epsilon} \end{eqnarray} -Following Derrida \cite{Derrida}, +Following Derrida \cite{Derrida_1991_The}, \begin{equation} \mathcal N_\mathrm{typ}(\epsilon,k)=\overline\mathcal N(\epsilon,k)+\eta(\epsilon,k)\overline\mathcal N(\epsilon,k)^{1/2} \end{equation} |