Azimuthal anisotropies and initial-state fluctuations from SPS to LHC energies

The $v_{3}$ coefficient, obtained using the PbAu data from the CERES detector at the top SPS energy, is presented. The $v_{2}$ is measured over a $p_{T}$ range up to 100 GeV/c in PbPb collisions collected with the CMS detector. The $v_{2}\{2\}$ of charged and strange particles emitted in pp collisions shows a mass ordering effect. The $v_{2}\{4\}$ and $v_{2}\{6\}$ are comparable to the $v_{2}\{2\}$, and thus supports the collective nature of the long-range correlations in high-multiplicity pp collisions at 13~TeV. Principle Component Analysis (PCA) of two-particle harmonics ($V_{n\Delta}$) is studied in PbPb and high-multiplicity pPb collisions at the LHC. The factorization breaking of the $V_{n\Delta}$ can be attributed to the effect of initial-state fluctuations (ISF). Using a PCA, the $V_{n\Delta}$ are characterized through the leading and sub-leading modes. The leading modes are essentially equivalent to the $v_{n}\{2\}$. The sub-leading modes represent the largest sources of factorization breaking.