From 7f9dbd5c263152fd3bc1218f6defa970140596b3 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 21 Dec 2020 12:44:33 +0100 Subject: Added Jorge's 157 words on why we should be in PRL. --- why_prl.txt | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 why_prl.txt 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. + -- cgit v1.2.3-70-g09d2