  We study the effects which the back-reaction of long wavelength fluctuations
exert on stochastic inflation. In the cases of power-law and Starobinsky
inflation these effects are too weak to terminate the stochastic growth of the
inflaton field. However, in the case of the cyclic Ekpyrotic scenario, the
back-reaction effects prevent the unlimited growth of the scalar field.

High Energy Physics - Theory;Cosmology and Nongalactic Astrophysics;General Relativity and Quantum Cosmology;High Energy Physics - Phenomenology