From 5b695ea9adb27e95561e640406f52c897b63cf64 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Thu, 3 Jun 2021 16:26:29 +0200 Subject: Added note about 1D examples. --- stokes.bib | 14 ++++++++++++++ stokes.tex | 4 ++++ 2 files changed, 18 insertions(+) diff --git a/stokes.bib b/stokes.bib index d49be71..497686c 100644 --- a/stokes.bib +++ b/stokes.bib @@ -1,3 +1,17 @@ +@article{Cavagna_1999_Energy, + author = {Cavagna, Andrea and Garrahan, Juan P. and Giardina, Irene}, + title = {Energy distribution of maxima and minima in a one-dimensional random system}, + journal = {Physical Review E}, + publisher = {American Physical Society (APS)}, + year = {1999}, + month = {3}, + number = {3}, + volume = {59}, + pages = {2808--2811}, + url = {https://doi.org/10.1103%2Fphysreve.59.2808}, + doi = {10.1103/physreve.59.2808} +} + @book{Forstneric_2017_Stein, author = {Forstnerič, Franc}, title = {{Stein} Manifolds and Holomorphic Mappings}, diff --git a/stokes.tex b/stokes.tex index a851a28..7e5269b 100644 --- a/stokes.tex +++ b/stokes.tex @@ -58,6 +58,10 @@ acquires an imaginary component, various numeric and perturbative schemes for approximating its value can face immediate difficulties due to the emergence of a sign problem, resulting from rapid oscillations coinciding with saddles. +Unfortunately the study is not so relevant for low-dimensional `rugged' +landscapes, which are typically series or integrals of analytic functions whose +limit are not themselves analytic \cite{Cavagna_1999_Energy}. + \section{Dynamics} -- cgit v1.2.3-54-g00ecf