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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-30 14:33:10 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-30 14:33:10 +0100
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More wording edits.
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@@ -44,17 +44,16 @@ a multiplicity of minima. Apart from its obvious relevance to glassy systems,
it has found applications in many domains: computer science, ecology,
economics, and biology, to name a few. \footfullcite{Mezard_2009_Information}
-In the last few years, a renewed interest has developed in landscapes for
-which the variables are complex. There are a couple reasons for this: in
-computational physics the `sign problem' is a major obstacle, and a strategy
-has emerged to attack it by deforming the sampling space into complex variables.
-This is a most natural and promising path, and any progress made will have
-game-changing impact in solid state physics and lattice QCD.
-\footfullcite{Cristoforetti_2012_New, Scorzato_2016_The} At a more basic
-level, following the seminal work of E.~Witten, \footfullcite{Witten_2010_A,
-Witten_2011_Analytic} there has been a flurry of activity concerning the very
-definition of quantum mechanics, which also requires that one move into the
-complex plane.
+Recently, interest has developed in landscapes for which the variables are
+complex. There are several reasons for this: in computational physics the
+`sign problem' is a major obstacle, and a strategy has emerged to attack it by
+deforming the sampling space into complex variables. This is a most natural
+and promising path, and any progress made will have game-changing impact in
+solid state physics and lattice QCD. \footfullcite{Cristoforetti_2012_New,
+Scorzato_2016_The} At a more basic level, following the seminal work of
+E.~Witten, \footfullcite{Witten_2010_A, Witten_2011_Analytic} there has been a
+flurry of activity concerning the very definition of quantum mechanics, which
+also requires that one move into the complex plane.
In these cases, just as in the real case, one needs to understand the structure
of the `landscape,' like the location of saddle points, how they are connected,