Scalar perturbations in conformal rolling scenario with intermediate
  stage
  Scalar cosmological perturbations with nearly flat power spectrum may
originate from perturbations of the phase of a scalar field conformally coupled
to gravity and rolling down negative quartic potential. We consider a version
of this scenario whose specific property is a long intermediate stage between
the end of conformal rolling and horizon exit of the phase perturbations. Such
a stage is natural, e.g., in cosmologies with ekpyrosis or genesis. Its
existence results in small negative scalar tilt, statistical anisotropy of all
even multipoles starting from quardupole of general structure (in contrast to
the usually discussed single quadrupole of special type) and non-Gaussianity of
a peculiar form.
