In this paper, we review in detail different mechanisms of generation of large primordial
fluctuations and their implications for the production of primordial black holes (PBHs) and …

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We investigate the two-stage inflation regime in the theory of hybrid cosmological α-
attractors. The spectrum of inflationary perturbations is compatible with the latest …

We present a review on the state-of-the-art of the mathematical framework known as
stochastic inflation, paying special attention to its derivation, and giving references for the …

The curvature perturbations produced during an early era of inflation are known to have
quasi-Gaussian distribution functions close to their maximum, where they are well …

We consider the effect of quantum diffusion on the dynamics of the inflaton during a period of
ultra-slow-roll inflation. We extend the stochastic-δ Script N formalism to the ultra-slow-roll …

If the inflaton gets trapped in a local minimum of its potential shortly before the end of
inflation, it escapes by building up quantum fluctuations in a process known as stochastic …

We calculate the full probability density function (PDF) of inflationary curvature perturbations,
even in the presence of large quantum backreaction. Making use of the stochastic-δ N …

We present a generic framework to compute the one-point statistics of cosmological
perturbations, when coarse-grained at an arbitrary scale R, in the presence of quantum …

Primordial black-holes (PBH) can be produced in single-field models of inflation with a quasi-
inflection point in the potential. In these models, a large production of PBHs requires a …