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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-09 17:41:30 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-09 17:41:30 +0100
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parentde9c03215d05500a7bbe4d3b9b9b8dd319685372 (diff)
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Updated reference.
-rw-r--r--bezout.bib25
-rw-r--r--bezout.tex4
2 files changed, 17 insertions, 12 deletions
diff --git a/bezout.bib b/bezout.bib
index 51df35d..c82da78 100644
--- a/bezout.bib
+++ b/bezout.bib
@@ -11,16 +11,7 @@
url = {https://doi.org/10.1007%2Fjhep12%282016%29071},
doi = {10.1007/jhep12(2016)071}
}
-@article{bogomolny1992distribution,
- title={Distribution of roots of random polynomials},
- author={Bogomolny, Eugene and Bohigas, Oriol and Leboeuf, Patricio},
- journal={Physical Review Letters},
- volume={68},
- number={18},
- pages={2726},
- year={1992},
- publisher={APS}
-}
+
@article{Antenucci_2015_Complex,
author = {Antenucci, F. and Crisanti, A. and Leuzzi, L.},
title = {Complex spherical {$2+4$} spin glass: A model for nonlinear optics in random media},
@@ -72,6 +63,20 @@
address = {rue S. Jacques, Paris}
}
+@article{Bogomolny_1992_Distribution,
+ author = {Bogomolny, E. and Bohigas, O. and Leboeuf, P.},
+ title = {Distribution of roots of random polynomials},
+ journal = {Physical Review Letters},
+ publisher = {American Physical Society (APS)},
+ year = {1992},
+ month = {5},
+ number = {18},
+ volume = {68},
+ pages = {2726--2729},
+ url = {https://doi.org/10.1103%2Fphysrevlett.68.2726},
+ doi = {10.1103/physrevlett.68.2726}
+}
+
@article{Bray_1980_Metastable,
author = {Bray, A J and Moore, M A},
title = {Metastable states in spin glasses},
diff --git a/bezout.tex b/bezout.tex
index 21d8146..4202e9b 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -69,7 +69,7 @@ complex variables, and the roots are simple all the way (we shall confirm this),
variables minima of functions appear and disappear, and this procedure is not possible. The same idea may be implemented by
performing diffusion in the $J$'s, and following the roots, in complete analogy with Dyson's stochastic dynamics.
-This study also provides a complement to the work on the distribution of zeroes of random polynomials \cite{bogomolny1992distribution}.
+This study also provides a complement to the work on the distribution of zeroes of random polynomials \cite{Bogomolny_1992_Distribution}.
Let us go back to our model.
@@ -319,7 +319,7 @@ The number of critical points contained within is
=(p-1)^{N/2},
\end{equation}
the square root of \eqref{eq:bezout} and precisely the number of critical
-points of the real pure spherical $p$-spin model. (note the role of conjugation symmetry, already underlined in Ref\cite{bogomolny1992distribution}). In fact, the full
+points of the real pure spherical $p$-spin model. (note the role of conjugation symmetry, already underlined in Ref\cite{Bogomolny_1992_Distribution}). In fact, the full
$\epsilon$-dependence of the real pure spherical $p$-spin is recovered by this
limit as $\epsilon$ is varied.