Fluctuations exiting the Hubble radius during the contracting phase of a bouncing cosmology may, under
certain conditions on the equation of state of the contracting phase, lead to a scale invariant spectrum of cosmological fluctuations.
References:
A Nonsingular Cosmology with a Scale-Invariant Spectrum of Cosmological
Perturbations from Lee-Wick Theory.
[arXiv:0810.4677]
Non-Gaussianity in a Matter Bounce.
[arXiv:0903.0631]
Thermal Fluctuations and Bouncing Cosmologies.
[arXiv:0903.4938]