A specific random walk in this modified hypercube is first
introduced (See section~\ref{sub:stop:formal}). We further
-theoretical study this random walk to
-provide a upper bound of fair sequences
+ study this random walk in a theoretical way to
+provide an upper bound of fair sequences
(See section~\ref{sub:stop:bound}).
We finally complete these study with experimental
-results that reduce this bound (Sec.~\ref{sub:stop:stop}).
+results that reduce this bound (Sec.~\ref{sub:stop:exp}).
Notice that for a general references on Markov chains
see~\cite{LevinPeresWilmer2006},
and particularly Chapter~5 on stopping times.
$$
\caption{Average Stopping Time}\label{table:stopping:moy}
\end{table}
+
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