\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [2][-]{subsection.1.1}{The structure of this paper}{section.1}% 2
\BOOKMARK [2][-]{subsection.1.2}{Continued fractions}{section.1}% 3
\BOOKMARK [2][-]{subsection.1.3}{Binary continued logarithms}{section.1}% 4
\BOOKMARK [2][-]{subsection.1.4}{Khinchin's constant}{section.1}% 5
\BOOKMARK [1][-]{section.2}{Type I continued logarithms}{}% 6
\BOOKMARK [2][-]{subsection.2.1}{Type I definition and preliminaries}{section.2}% 7
\BOOKMARK [2][-]{subsection.2.2}{Distribution of type I continued logarithm terms and type I logarithmic Khinchin constant}{section.2}% 8
\BOOKMARK [2][-]{subsection.2.3}{Experimentally determining the type I distribution}{section.2}% 9
\BOOKMARK [1][-]{section.3}{Type II continued logarithms}{}% 10
\BOOKMARK [2][-]{subsection.3.1}{Type II definition and preliminaries}{section.3}% 11
\BOOKMARK [2][-]{subsection.3.2}{Distribution of type II continued logarithm terms and type II logarithmic Khinchin constant}{section.3}% 12
\BOOKMARK [2][-]{subsection.3.3}{Experimentally determining the type II distribution}{section.3}% 13
\BOOKMARK [1][-]{section.4}{Type III continued logarithms}{}% 14
\BOOKMARK [2][-]{subsection.4.1}{Type III definitions and recurrences}{section.4}% 15
\BOOKMARK [2][-]{subsection.4.2}{Convergence and rational finiteness of type III continued logarithms}{section.4}% 16
\BOOKMARK [2][-]{subsection.4.3}{Using measure theory to study the type III continued logarithm terms}{section.4}% 17
\BOOKMARK [2][-]{subsection.4.4}{Distribution of type III continued logarithm terms}{section.4}% 18
\BOOKMARK [2][-]{subsection.4.5}{Type III logarithmic Khinchin constant}{section.4}% 19
\BOOKMARK [2][-]{subsection.4.6}{Type III continued logarithms and simple continued fractions}{section.4}% 20
\BOOKMARK [1][-]{section.5}{Generalizing beyond continued logarithms}{}% 21
\BOOKMARK [1][-]{section.6}{Acknowledgements}{}% 22
\BOOKMARK [1][-]{appendix.A}{Proof of the type III continued logarithm distribution}{}% 23
\BOOKMARK [1][-]{appendix.B}{Proof of the type III logarithmic Khinchin constant}{}% 24