Shape dispersion around the average peak profile is a genuine statistical ingredient: rare deformed curvature profiles can dominate primordial black hole formation when the power spectrum is broad or non-Gaussianity is negative.
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In asymptotically flat spacetimes, a localized inflaton fluctuation requires a proper size of at least ~2.5 times the inflationary scale to successfully seed inflation, generalizing the Goldwirth-Piran result.
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The statistics of curvature-profile dispersion in primordial black hole formation
Shape dispersion around the average peak profile is a genuine statistical ingredient: rare deformed curvature profiles can dominate primordial black hole formation when the power spectrum is broad or non-Gaussianity is negative.
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Starting inflation in asymptotically flat spacetimes
In asymptotically flat spacetimes, a localized inflaton fluctuation requires a proper size of at least ~2.5 times the inflationary scale to successfully seed inflation, generalizing the Goldwirth-Piran result.