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In an era of high-precision determinations of QGP properties a fullincorporation of fluid dynamical fluctuations into our models has becomecrucial, in particular, when describing the dynamics of small systems or nearthe conjectured QCD critical point. In this talk we discuss some effects of thepropagation of these fluctuations. For LHC physics we focus on fluctuations inthe energy-momentum tensor, while the impact of fluctuations in the diffusivenet-baryon density is studied to improve our knowledge on the formation ofcritical fluctuations being searched in current and future BES programs.

Fluctuating fluid dynamics for the QGP in the LHC and BES era