From 3aa483b31c12d6a3afb1215ce6188aca8c314e72 Mon Sep 17 00:00:00 2001
From: "kurchan.jorge" <kurchan.jorge@gmail.com>
Date: Wed, 30 Dec 2020 11:03:54 +0000
Subject: Update on Overleaf.

---
 bezout.tex | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

(limited to 'bezout.tex')

diff --git a/bezout.tex b/bezout.tex
index 9dffe65..96ad257 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -44,7 +44,7 @@
 
 Spin-glasses have long been considered the paradigm of many variable `complex
 landscapes,' a subject that includes neural networks and optimization problems,
-most notably constraint satisfaction.  The most tractable family of these
+most notably constraint satisfaction \cite{mezard2009information}.  The most tractable family of these
 are the mean-field spherical $p$-spin models \cite{Crisanti_1992_The} (for a
 review see \cite{Castellani_2005_Spin-glass}) defined by the energy
 \begin{equation} \label{eq:bare.hamiltonian}
@@ -447,8 +447,8 @@ dynamics, are a problem we hope to address in future work.
 
  This paper provides a first step towards the study of a complex landscape with
  complex variables. The next obvious one is to study the topology of the
- critical points, their basins of attraction following  gradient ascent (the
- Lefschetz thimbles), and descent (the anti-thimbles) \cite{Witten_2010_A,
+ critical points, the sets reached following  gradient descent (the
+ Lefschetz thimbles), and ascent (the anti-thimbles) \cite{Witten_2010_A,
  Witten_2011_Analytic, Cristoforetti_2012_New, Behtash_2017_Toward,
  Scorzato_2016_The}, which act as constant-phase integrating `contours.'
  Locating and counting the saddles that are joined by gradient lines---the
-- 
cgit v1.2.3-54-g00ecf

