  We study by the strong disorder renormalization group (RG) method the
low-energy properties of the one-dimensional Hubbard model with random-hopping
matrix-elements $t_{min}<t<t_{max}$, and with random on-site Coulomb repulsion
terms $0 \le U_{min}<U<U_{max}$. There are two critical phases, corresponding
to an infinite randomness spin random singlet for strong interactions ($U_{min}
> t_{max}$) and to an orbital infinite randomness fixed point for vanishing
interactions ($U_{max}/t_{max} \to 0$). To each critical infinite randomness
fixed point is connected a Griffiths phase, the correlation length and
dynamical exponent of which have well defined asymptotic dependences on the
corresponding quantum control parameter. The theoretical predictions for the
scaling in the vicinity of the critical points compare well to numerical RG
simulations.

Disordered Systems and Neural Networks;Strongly Correlated Electrons