Heavy-ion collisions conducted at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) are crucial for investigating the properties of deconfined QCD matter. This exotic state of matter is formed shortly after the collision and is initially very far from equilibrium. Using QCD kinetic theory, one can study the system's approach to thermal equilibrium. In my talk, I will introduce the concept of limiting attractors, which we obtain by extrapolating our results to vanishing and strong couplings. The strong coupling limit is identified with a hydrodynamic attractor, whereas the weak coupling limit corresponds to the time scale in the perturbative "bottom-up" thermalization scenario. While both of these attractors are visible in the pressure ratio, I will also discuss these attractors in quantities measuring the momentum broadening of hard probes such as jets and heavy quarks. We have recently extracted these broadening coefficients during the hydrodynamization stage, and we find that these quantities admit a good description in terms of the weak coupling limiting attractor.