The way a relativistic system approaches fluid dynamical behavior can be understood through the signals that will contribute to its linear response to perturbations. What these signals are is captured in the analytic structure of the retarded correlation function. In this seminar I will explain the different nonanalyticities that may occur, how to interpret them and how to calculate their corresponding signal. To improve intuition, I use kinetic theory in the (momentum dependent) relaxation time approximation as an example.