Measurements of open charm hadron production and non-prompt $\mathrm D^0$ elliptic flow with the ALICE at the LHC

This thesis aims to study the hadronization mechanisms of heavy quarks and their interaction with the quark-gluon plasma (QGP) by measuring the production yields and elliptic flow of charmed hadrons and non-prompt $\mathrm D^0$ mesons in the ALICE experiment at the LHC energy region. For the hadronization mechanisms of heavy quarks, the dependence of the prompt $\Lambda_{c}^{+}$ production on the charged particle multiplicity and the proportion of non-prompt $\mathrm D^0$ mesons as a function of the charged particle multiplicity, as well as the non-prompt $\mathrm D^0$ meson yield, were measured using proton-proton collision data collected from 2016 to 2018 at a center-of-mass energy of 13 TeV (about 1800 million events). For the study of the interaction between bottom quarks and QGP, the elliptic flow of non-prompt $\mathrm D^0$ mesons in non-central collisions was measured using lead-lead collision data collected in 2018 at a center-of-mass energy of 5.02 TeV.