Slow and fast diffusion in asteroid-belt resonances: A review

This paper reviews recent advances in several topics of resonant asteroidal dynamics as the role of resonances in the transportation of asteroids and asteroidal debris to the inner and outer solar system; the explanation of t he contrast of a depleted 2/1 resonance (Hecuba gap) and a high-populated 3 /2 resonance (Hilda group); the overall stochasticity created in the astero id belt by the short-period perturbations of Jupiter's orbit, with emphasis in the formation of significant three-period resonances, the chaotic behav iour of the outer asteroid belt, and the depletion of the Hecuba gap.