Various real space renormalization procedures will be described to analyze the dynamics of random quantum chains, within the three following settings : 1) the unitary dynamics of isolated chains in Many-Body-Localized phases; 2) the dynamics of periodically driven chains in Floquet-Localized phases; 3)the Lindblad dynamics of chains in contact with two boundary reservoirs imposing a Non-Equilibrium-Steady-State.

IPhT