Quantum Cosmic No-Hair Theorem and Inflation
  We consider implications of the quantum extension of the inflationary no hair
theorem. We show that when the quantum state of inflation is picked to ensure
the validity of the EFT of fluctuations, it takes only ${\cal O}(10)$ efolds of
inflation to erase the effects of the initial distortions on the inflationary
observables. Thus the Bunch-Davies vacuum is a very strong quantum attractor
during inflation. We also consider bouncing universes, where the initial
conditions seem to linger much longer and the quantum `balding' by evolution
appears to be less efficient.
