diff draft.tex @ 21:739b2444a4ac

Moved graphics files to figs; replaced MatrixDistribution.png with mtriscat.eps; updated its caption.

--- a/draft.tex	Mon Mar 12 15:51:05 2012 +0000
+++ b/draft.tex	Mon Mar 12 17:06:06 2012 +0000
@@ -491,8 +491,16 @@
 
 \begin{figure}
 \centering
-\includegraphics[width=0.5\textwidth]{MatrixDistribution.png}
-\caption{The population of transition matrixes distributed along three axes of redundancy, entropy rate and predictive information rate.  Note how the distribution makes a curved triangle-like plane floating in 3d space.  \label{InfoDynEngine}}
+\includegraphics[width=\linewidth]{figs/mtriscat}
+\caption{The population of transition matrices distributed along three axes of 
+redundancy, entropy rate and predictive information rate (all measured in bits).
+The concentrations of points along the redundancy axis correspond
+to Markov chains which are roughly periodic with periods of 2 (redundancy 1 bit),
+3, 4, \etc all the way to period 8 (redundancy 3 bits). The colour of each point
+represents its PIR---note that the highest values are found at intermediate entropy
+and redundancy, and that the distribution as a whole makes a curved triangle. Although
+not visible in this plot, it is largely hollow in the middle. 
+\label{InfoDynEngine}}
 \end{figure}
  
 	
@@ -505,7 +513,7 @@
 Figure \ref{TheTriangle} shows how the triangle maps to different measures of redundancy, entropy rate and predictive information rate.\emph{self-plagiarised}
  \begin{figure}
 \centering
-\includegraphics[width=0.5\textwidth]{TheTriangle.pdf}
+\includegraphics[width=\linewidth]{figs/TheTriangle.pdf}
 \caption{The Melody Triangle\label{TheTriangle}}
 \end{figure}	
 Each corner corresponds to three different extremes of predictability and unpredictability, which could be loosely characterised as ÔperiodicityÕ, ÔnoiseÕ and ÔrepetitionÕ.