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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-30 15:46:39 +0100 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-30 15:46:39 +0100 |
| commit | c88a57539305f45134d8db47a77a010f628adb44 (patch) | |
| tree | f26cbf53bec6631c59531896db39e297053317bc /why_prl.txt | |
| parent | e968ec0390e7a548230af4d8c5e71360dea9e154 (diff) | |
| parent | d13787cf9f35ab04eaf961f55cfbb8f1c75e423f (diff) | |
| download | PRR_3_023064-c88a57539305f45134d8db47a77a010f628adb44.tar.gz PRR_3_023064-c88a57539305f45134d8db47a77a010f628adb44.tar.bz2 PRR_3_023064-c88a57539305f45134d8db47a77a010f628adb44.zip | |
Merge branch 'master' into apsaps.v2
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| -rw-r--r-- | why_prl.txt | 9 |
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diff --git a/why_prl.txt b/why_prl.txt new file mode 100644 index 0000000..8c0eef1 --- /dev/null +++ b/why_prl.txt @@ -0,0 +1,9 @@ +We extend the paradigmatic model of "complex" landscapes to complex variables. +We believe it is the first such study, a subject of interest with applications +from deep networks to optimization. In particular, we introduce an apparently +new matrix model that generalizes the well-known semicircle law for +fluctuations around real saddles in disordered systems. Our work is in line +with Bogomolny, Bohigas & Leboeuf (PRL 1992) concerning roots of one random +polynomial of high degree, while ours many of low degree. Many applications of +this problem will surely appear, as always occurs when extending a real problem +into the complex plane. |