dissertation_work/Dissertation_unzipped/Brownian_motion_monte_carlo.aux

\relax 
\providecommand\hyper@newdestlabel[2]{}
\@writefile{toc}{\contentsline {chapter}{\numberline {2}Brownian Motion Monte Carlo}{16}{chapter.2}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {2.1}Brownian Motion Preliminaries}{16}{section.2.1}\protected@file@percent }
\newlabel{def:1.17}{{2.1.5}{17}{Of $\mathfrak {k}$}{theorem.2.1.5}{}}
\newlabel{def:1.17@cref}{{[definition][5][2,1]2.1.5}{[1][17][]17}}
\newlabel{primarysetting}{{2.1.6}{17}{Primary Setting}{theorem.2.1.6}{}}
\newlabel{primarysetting@cref}{{[definition][6][2,1]2.1.6}{[1][17][]17}}
\newlabel{(2.1.2)}{{2.1.2}{17}{Primary Setting}{equation.2.1.2}{}}
\newlabel{(2.1.2)@cref}{{[equation][2][2,1]2.1.2}{[1][17][]17}}
\newlabel{(1.12)}{{2.1.3}{17}{Primary Setting}{equation.2.1.3}{}}
\newlabel{(1.12)@cref}{{[equation][3][2,1]2.1.3}{[1][17][]17}}
\newlabel{(2.1.4)}{{2.1.4}{17}{Primary Setting}{equation.2.1.4}{}}
\newlabel{(2.1.4)@cref}{{[equation][4][2,1]2.1.4}{[1][17][]17}}
\newlabel{lemma1.1}{{2.1.7}{17}{}{theorem.2.1.7}{}}
\newlabel{lemma1.1@cref}{{[lemma][7][2,1]2.1.7}{[1][17][]17}}
\citation{hutzenthaler_overcoming_2020}
\newlabel{lem:1.20}{{2.1.8}{18}{}{theorem.2.1.8}{}}
\newlabel{lem:1.20@cref}{{[lemma][8][2,1]2.1.8}{[1][18][]18}}
\newlabel{(2.1.6)}{{2.1.6}{18}{Brownian Motion Preliminaries}{equation.2.1.6}{}}
\newlabel{(2.1.6)@cref}{{[equation][6][2,1]2.1.6}{[1][18][]18}}
\newlabel{eq:1.4}{{2.1}{18}{Brownian Motion Preliminaries}{equation.2.1.6}{}}
\newlabel{eq:1.4@cref}{{[section][1][2]2.1}{[1][18][]18}}
\newlabel{(1.17)}{{2.1.7}{18}{Brownian Motion Preliminaries}{equation.2.1.7}{}}
\newlabel{(1.17)@cref}{{[equation][7][2,1]2.1.7}{[1][18][]18}}
\newlabel{(1.18)}{{2.1.8}{19}{Brownian Motion Preliminaries}{equation.2.1.8}{}}
\newlabel{(1.18)@cref}{{[equation][8][2,1]2.1.8}{[1][18][]19}}
\newlabel{(1.19)}{{2.1.9}{19}{Brownian Motion Preliminaries}{equation.2.1.9}{}}
\newlabel{(1.19)@cref}{{[equation][9][2,1]2.1.9}{[1][19][]19}}
\newlabel{(1.20)}{{2.1.10}{19}{Brownian Motion Preliminaries}{equation.2.1.10}{}}
\newlabel{(1.20)@cref}{{[equation][10][2,1]2.1.10}{[1][19][]19}}
\newlabel{(1.21)}{{2.1.11}{19}{Brownian Motion Preliminaries}{equation.2.1.11}{}}
\newlabel{(1.21)@cref}{{[equation][11][2,1]2.1.11}{[1][19][]19}}
\newlabel{cor:1.20.1}{{2.1.8.1}{19}{}{corollary.2.1.8.1}{}}
\newlabel{cor:1.20.1@cref}{{[corollary][1][]2.1.8.1}{[1][19][]19}}
\citation{rio_moment_2009}
\citation{rio_moment_2009}
\@writefile{toc}{\contentsline {section}{\numberline {2.2}Monte Carlo Approximations}{20}{section.2.2}\protected@file@percent }
\newlabel{lem:1.21}{{2.2.1}{20}{}{theorem.2.2.1}{}}
\newlabel{lem:1.21@cref}{{[lemma][1][2,2]2.2.1}{[1][20][]20}}
\citation{grohsetal}
\newlabel{corollary:1.11.1.}{{2.2.1.1}{21}{}{corollary.2.2.1.1}{}}
\newlabel{corollary:1.11.1.@cref}{{[corollary][1][]2.2.1.1}{[1][21][]21}}
\newlabel{(1.26)}{{2.2.5}{21}{}{equation.2.2.5}{}}
\newlabel{(1.26)@cref}{{[equation][5][2,2]2.2.5}{[1][21][]21}}
\newlabel{cor:1.22.2}{{2.2.1.2}{21}{}{corollary.2.2.1.2}{}}
\newlabel{cor:1.22.2@cref}{{[corollary][2][]2.2.1.2}{[1][21][]21}}
\@writefile{toc}{\contentsline {section}{\numberline {2.3}Bounds and Covnvergence}{21}{section.2.3}\protected@file@percent }
\newlabel{lem:1.21}{{2.3.1}{21}{}{theorem.2.3.1}{}}
\newlabel{lem:1.21@cref}{{[lemma][1][2,3]2.3.1}{[1][21][]21}}
\newlabel{lem:1.22}{{2.3.2}{22}{}{theorem.2.3.2}{}}
\newlabel{lem:1.22@cref}{{[lemma][2][2,3]2.3.2}{[1][22][]22}}
\newlabel{lem:1.25}{{2.3.3}{24}{}{theorem.2.3.3}{}}
\newlabel{lem:1.25@cref}{{[lemma][3][2,3]2.3.3}{[1][24][]24}}
\newlabel{(1.46)}{{2.3.16}{24}{Bounds and Covnvergence}{equation.2.3.16}{}}
\newlabel{(1.46)@cref}{{[equation][16][2,3]2.3.16}{[1][24][]24}}
\newlabel{(1.47)}{{2.3.17}{24}{Bounds and Covnvergence}{equation.2.3.17}{}}
\newlabel{(1.47)@cref}{{[equation][17][2,3]2.3.17}{[1][24][]24}}
\newlabel{(1.48)}{{2.3.18}{24}{Bounds and Covnvergence}{equation.2.3.18}{}}
\newlabel{(1.48)@cref}{{[equation][18][2,3]2.3.18}{[1][24][]24}}
\newlabel{cor:1.25.1}{{2.3.3.1}{24}{}{corollary.2.3.3.1}{}}
\newlabel{cor:1.25.1@cref}{{[corollary][1][]2.3.3.1}{[1][24][]24}}
\newlabel{(2.48)}{{2.3.26}{26}{}{equation.2.3.26}{}}
\newlabel{(2.48)@cref}{{[equation][26][2,3]2.3.26}{[1][26][]26}}
\newlabel{2.3.27}{{2.3.27}{26}{}{equation.2.3.27}{}}
\newlabel{2.3.27@cref}{{[equation][27][2,3]2.3.27}{[1][26][]26}}
\newlabel{2.3.29}{{2.3.28}{26}{Bounds and Covnvergence}{equation.2.3.28}{}}
\newlabel{2.3.29@cref}{{[equation][28][2,3]2.3.28}{[1][26][]26}}
\citation{hjw2020}
\citation{hjw2020}
\citation{hjw2020}
\newlabel{2.3.34}{{2.3.34}{28}{Bounds and Covnvergence}{equation.2.3.34}{}}
\newlabel{2.3.34@cref}{{[equation][34][2,3]2.3.34}{[1][28][]28}}
\@setckpt{Brownian_motion_monte_carlo}{
\setcounter{page}{30}
\setcounter{equation}{35}
\setcounter{enumi}{2}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{1}
\setcounter{chapter}{2}
\setcounter{section}{3}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{@pps}{0}
\setcounter{@ppsavesec}{0}
\setcounter{@ppsaveapp}{0}
\setcounter{AM@survey}{0}
\setcounter{parentequation}{0}
\setcounter{section@level}{1}
\setcounter{Item}{32}
\setcounter{Hfootnote}{0}
\setcounter{bookmark@seq@number}{14}
\setcounter{NAT@ctr}{0}
\setcounter{ALG@line}{0}
\setcounter{ALG@rem}{0}
\setcounter{ALG@nested}{0}
\setcounter{ALG@Lnr}{1}
\setcounter{ALG@blocknr}{1}
\setcounter{ALG@storecount}{0}
\setcounter{ALG@tmpcounter}{0}
\setcounter{lstnumber}{1}
\setcounter{theorem}{4}
\setcounter{corollary}{0}
\setcounter{lstlisting}{0}
}