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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-21 12:44:33 +0100 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-21 12:44:33 +0100 |
| commit | 7f9dbd5c263152fd3bc1218f6defa970140596b3 (patch) | |
| tree | be2de82bd4246cb8ebb78f5127ac8dfc8177c949 /why_prl.txt | |
| parent | 0f62678f523d8a0497c997161e60b3dde61ae83b (diff) | |
| download | PRR_3_023064-7f9dbd5c263152fd3bc1218f6defa970140596b3.tar.gz PRR_3_023064-7f9dbd5c263152fd3bc1218f6defa970140596b3.tar.bz2 PRR_3_023064-7f9dbd5c263152fd3bc1218f6defa970140596b3.zip | |
Added Jorge's 157 words on why we should be in PRL.
Diffstat (limited to 'why_prl.txt')
| -rw-r--r-- | why_prl.txt | 21 |
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diff --git a/why_prl.txt b/why_prl.txt new file mode 100644 index 0000000..48d3544 --- /dev/null +++ b/why_prl.txt @@ -0,0 +1,21 @@ + In our paper we study the extension to complex variables of the +paradigmatic +model of "complex landscape". We believe it is the first paper to study +such complex +"rugged landscapes", a subject of very high interest whose applications +range from deep networks +to optimization. In particular, we introduce and study a matrix model that +has not, to the best of our knowledge +studied previously, and which plays for the fluctuations around complex +saddles +in disordered systems the role played by the well-known semicircle law in +the real ones. +Our work is in line with the beautiful +E *Bogomolny*, O Bohigas, P *Leboeuf* - Physical Review Letters, 1992 +which concerns the roots one random polynomial of high degree, while ours +many of low degree. +We are very sure that sooner or later many new applications of this problem +will appear, as always +has been the case of extending into the complex plane the vision of a real +problem. + |