\relax \citation{PollardUGMTP} \@writefile{toc}{\contentsline {section}{\tocsection {}{1}{An Upper Bound on the Maximum $S_2(t)$}}{1}} \@writefile{toc}{\contentsline {section}{\tocsection {}{2}{The Restricted Model}}{1}} \newlabel{eqn:color_prob}{{2.1}{2}} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.1}{The Distribution of $S_3(t)$, $S_2(t)$, and $b_t$}}{3}} \newlabel{sect:balance}{{2.2}{4}} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.2}{$X_1(t)$, $X_2(t)$, and $X_3(t)$ Remain Balanced when Colors are Not Fixed}}{4}} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.3}{$\@mathbb {P}_tZ_{t+1}^2$ is Bounded for by a Constant When Colors are Not Fixed}}{4}} \bibstyle{chicago} \bibdata{DBP} \bibcite{PollardUGMTP}{\citeauthoryear {Pollard}{Pollard}{2001}} \newlabel{tocindent-1}{0pt} \newlabel{tocindent0}{15.0pt} \newlabel{tocindent1}{21.0pt} \newlabel{tocindent2}{30.0pt} \newlabel{tocindent3}{0pt} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.4}{Balance in the Fixed Color Case}}{5}} \@writefile{toc}{\contentsline {section}{\tocsection {}{}{References\begingroup \@temptokena {{\uppercase {References}}{\uppercase {References}}}\xdef {\uppercase {References}}{\uppercase {References}}{}\mark {}\endgroup }}{5}}