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\title{General Mathematics and Computational Science II}
\author{Exercise 6}
\date{February 20, 2007}
\maketitle

Write a computer program in a language of your choice (Mathematica or
Matlab will work well for this purpose) to simulate either the Kac
ring or the Ehrenfest urn model.  Your solution should contain:

\begin{itemize}
\item The evolution of one of the macroscopic quanitities (e.g.\
$\Delta$ for the Kac ring or $D$ for the Ehrenfest model) as a
function of time.  (As a graphical print-out or as a number table.)

\item Some investigation of the behavior when $N$ gets large.

\item A concise description of the result, in particular a comparison
with the ensemble averaged behavior derived in class (for the Kac
ring) or in the previous homework (for the Ehrenfest model).

\end{itemize}


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