  The electronic behaviour in graphene under a flexural field with random
height displacements, considered as pseudo-magnetic fields, is studied. General
folded deformations (not necessarily random) were first studied, giving an
expression for the zero energy modes. For Gaussian folded deformations, it is
possible to use a Coulomb gauge norm for the fields allowing contact with
previous work on the quantum Hall effect with random fields, showing that the
density of states has a power law behaviour and that the zero energy modes
wavefunctions are multifractal. This hints of an unusual electron velocity
distribution. Also, an Aharonov-Bohm pseudo-effect is produced. For more
general non-folded general flexural strain, is not possible to use a Coulomb
gauge. However, a Random Phase Approximation (RPA) and the scheme of random
matrix theory allows to tackle the problem. For Gaussian distributed fields,
the spectrum presents an average gap and for some cases, a breaking of the
particle-hole symmetry. Finally, for the case of L\'evy distributed fields,
nearly flat bands are seen due to strong electron localization.
