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Principal component analysis of event-by-event fluctuations

Abstract : We apply principal component analysis to the study of event-by-event fluctuations in relativistic heavy-ion collisions. This method brings out all the information contained in two-particle correlations in a physically transparent way. We present a guide to the method, and apply it to multiplicity fluctuations and anisotropic flow, using ALICE data and simulated events. In particular, we study elliptic and triangular flow fluctuations as a function of transverse momentum and rapidity. This method reveals previously unknown subleading modes in both rapidity and transverse momentum for the momentum distribution as well as elliptic and triangular flows.
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Rajeev S. Bhalerao, Jean-Yves Ollitrault, Subrata Pal, Derek Teaney. Principal component analysis of event-by-event fluctuations. Physics Letters B, Elsevier, 2015, 114 (15), pp.2301. ⟨10.1103/PhysRevLett.114.152301⟩. ⟨cea-01323613⟩

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