  We consider the inward propagation of warping and eccentric disturbances in
discs around black holes under a wide variety of conditions. In our
calculations we use secular theories of warped and eccentric discs and assume
the deformations to be stationary and propagating in a disc model similar to
regions (a) and (b) of Shakura and Sunyaev discs. We find that the propagation
of deformations to the innermost regions of the disc is facilitated for low
viscous damping and high accretion rate. We relate our results to the possible
excitation of trapped inertial modes, and to the observations of high-frequency
quasi-periodic oscillations (QPOs) in black hole systems in the very high
spectral state.
