A shear-free lattice method bridges stochastic inflation and δN formalism by enabling fully nonlinear calculations of curvature perturbations in single-field models with ultra-slow-roll phases.
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Stochastic binary tree method computes compaction function in inflation to distinguish type I/II PBH fluctuations, finding broader mass distributions and type-II dominance in quantum regimes of a toy model.
Spectral solution of the Fokker-Planck operator for hilltop constant-roll inflation shows rare crossing trajectories dominate the mean, so the median yields a coarse-grained ΔN distribution whose exponential tail flattens into a peak near maximal value.
Hybrid inflation produces enhanced curvature perturbations with a broad power spectrum peak featuring k^3 infrared growth and positive f_NL fixed by tachyonic waterfall geometry, potentially accounting for PBH dark matter and LISA-detectable SGWB.
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Superhorizon curvature perturbations in hybrid inflation revisited
Hybrid inflation produces enhanced curvature perturbations with a broad power spectrum peak featuring k^3 infrared growth and positive f_NL fixed by tachyonic waterfall geometry, potentially accounting for PBH dark matter and LISA-detectable SGWB.