\contentsline {section}{\numberline {1}Introduction}{3}{section.1} \contentsline {section}{\numberline {2}Mixing and \ensuremath {CP}\xspace , \ensuremath {T}\xspace and \ensuremath {CPT}\xspace violation in the neutral \ensuremath {D}\xspace system}{4}{section.2} \contentsline {subsection}{\numberline {2.1}Comparison of time-dependent measurements at $\Upsilon (4S)$ and at charm threshold}{5}{subsection.2.1} \contentsline {subsection}{\numberline {2.2}Comparison of time-dependent and time-integrated measurements at charm threshold}{5}{subsection.2.2} \contentsline {section}{\numberline {3}Sensitivities studies and main results}{7}{section.3} \contentsline {section}{\numberline {A}Time dependence of correlated decays with \ensuremath {CP}\xspace violation}{15}{section.A} \contentsline {subsection}{\numberline {A.1}Semileptonic decays with $CP$ tag}{15}{subsection.A.1} \contentsline {subsection}{\numberline {A.2}Double $K^\mp \pi ^\pm $ decays}{16}{subsection.A.2} \contentsline {subsection}{\numberline {A.3}Double semileptonic decays}{17}{subsection.A.3} \contentsline {subsection}{\numberline {A.4}$K^\mp \pi ^\pm $ decays with $CP$ tag}{18}{subsection.A.4} \contentsline {subsection}{\numberline {A.5}Double $CP$ tag}{19}{subsection.A.5} \contentsline {subsection}{\numberline {A.6}Time-dependent Dalitz plot decay rates with \ensuremath {CP}\xspace violation}{20}{subsection.A.6} \contentsline {section}{\numberline {B}\ensuremath {D^0}\xspace -\ensuremath {\mathaccentV {bar}016{D}^0}\xspace mixing and \ensuremath {CP}\xspace violation with Dalitz plot analyses}{24}{section.B} \contentsline {subsection}{\numberline {B.1}Considerations for 3-body self-conjugate \ensuremath {D^0}\xspace decay modes}{24}{subsection.B.1} \contentsline {subsection}{\numberline {B.2}Relevance of \ensuremath {D^0}\xspace -\ensuremath {\mathaccentV {bar}016{D}^0}\xspace threshold data}{25}{subsection.B.2}