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Brief periods of non-slow-roll evolution during inflation can produce interesting observable consequences, as primordial black holes, or an inflationary gravitational wave spectrum enhanced at small scales.
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C. T. Byrnes and G. Tasinato, “Non-Gaussianity beyond slow roll in multi-field inflation,” JCAP
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H. Firouzjahi, A. Nassiri-Rad, and M. Noorbala, “Stochastic Ultra Slow Roll Inflation,” JCAP
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