\relax 
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\citation{ubiquitous}
\citation{palindromes}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}}
\citation{palindromes}
\citation{relative}
\citation{relative}
\newlabel{th:intro1}{{1}{2}{Introduction\relax }{section.1}{}}
\newlabel{th:intro2}{{1}{2}{Introduction\relax }{section.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Notation and Preliminaries}{2}{section.2}}
\newlabel{preliminaries}{{2}{2}{Notation and Preliminaries\relax }{section.2}{}}
\citation{frid}
\citation{toeplitz}
\citation{toeplitz2}
\citation{relative}
\citation{jacobs}
\citation{hoit2}
\citation{hoit}
\@writefile{toc}{\contentsline {section}{\numberline {3}Change Sequences}{4}{section.3}}
\newlabel{changesequences}{{3}{4}{Change Sequences\relax }{section.3}{}}
\newlabel{th:changesequenceofaninfinitewordproduct}{{3.1}{4}{Change Sequences\relax }{theorem.3.1}{}}
\newlabel{changeproof1}{{3.2}{4}{Change Sequences\relax }{equation.3.2}{}}
\newlabel{changeproof2}{{3.3}{4}{Change Sequences\relax }{equation.3.3}{}}
\citation{frid}
\citation{derivatives}
\newlabel{changeoftm}{{3.4}{5}{Change Sequences\relax }{equation.3.4}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4}First Differences}{5}{section.4}}
\newlabel{firstdifferencesofwords}{{4}{5}{First Differences\relax }{section.4}{}}
\newlabel{lem:connection}{{4.1}{6}{First Differences\relax }{lemma.4.1}{}}
\newlabel{lem:firstdifferencesofsums}{{4.2}{6}{First Differences\relax }{lemma.4.2}{}}
\newlabel{th:firstdifferencesofinfiniteproducts}{{4.1}{6}{First Differences\relax }{theorem.4.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Palindromes}{6}{section.5}}
\newlabel{palindromes}{{5}{6}{Palindromes\relax }{section.5}{}}
\newlabel{prop:miscellaneousproperties}{{5.1}{7}{Palindromes\relax }{proposition.5.1}{}}
\newlabel{def:quasi}{{5.1}{7}{Palindromes\relax }{definition.5.1}{}}
\newlabel{prop:propertiesofquasi-palindromes}{{5.2}{7}{Palindromes\relax }{proposition.5.2}{}}
\newlabel{prop:closureofquasi-palindromes}{{5.3}{7}{Palindromes\relax }{proposition.5.3}{}}
\newlabel{prop:closure1}{{5.1}{7}{Palindromes\relax }{equation.5.1}{}}
\newlabel{prop:closure2}{{5.2}{7}{Palindromes\relax }{equation.5.2}{}}
\newlabel{prop:closure3}{{5.3}{7}{Palindromes\relax }{equation.5.3}{}}
\newlabel{prop:closure4}{{5.4}{7}{Palindromes\relax }{equation.5.4}{}}
\newlabel{eq:closureproof2}{{5.5}{9}{Palindromes\relax }{equation.5.5}{}}
\newlabel{lem:firstdifferencesofquasi-palindromes}{{5.1}{9}{Palindromes\relax }{lemma.5.1}{}}
\newlabel{lem:arbitrarilylongpalindromeswithinself-generatingwords}{{5.2}{9}{Palindromes\relax }{lemma.5.2}{}}
\newlabel{eq:v}{{5.6}{9}{Palindromes\relax }{equation.5.6}{}}
\newlabel{eq:v_1}{{5.8}{9}{Palindromes\relax }{equation.5.8}{}}
\citation{knill}
\bibcite{relative}{1}
\bibcite{toeplitz}{2}
\newlabel{eq:w}{{5.9}{10}{Palindromes\relax }{equation.5.9}{}}
\newlabel{eq:v_1new}{{5.10}{10}{Palindromes\relax }{equation.5.10}{}}
\newlabel{eq:v_2}{{5.11}{10}{Palindromes\relax }{equation.5.11}{}}
\newlabel{th:arbitrarilylongpalindromeswithininfiniteblockproducts}{{5.1}{10}{Palindromes\relax }{theorem.5.1}{}}
\bibcite{ubiquitous}{3}
\bibcite{palindromes}{4}
\bibcite{toeplitz2}{5}
\bibcite{derivatives}{6}
\bibcite{frid}{7}
\bibcite{knill}{8}
\bibcite{hoit2}{9}
\bibcite{hoit}{10}
\bibcite{jacobs}{11}