359 citations · 1.6k across the 29 of their papers we have counts for
20 papers · 1 filter
Compaction function in stochastic inflation: a \texttt{FOREST} of type I and II primordial black holes
Chiara Animali, Pierre Auclair, Baptiste Blachier +2
We show how to compute the compaction function within stochastic inflation, by solving the random field dynamics on stochastic binary trees. In this framework, the compaction funct…
Comment on: "Third-order corrections to the slow-roll expansion: Calculation and constraints with Planck, ACT, SPT, and BICEP/Keck [2025 PDU 47 101813]"
Pierre Auclair, Christophe Ringeval
We point out that several terms in the third-order corrections to the slow-roll power spectra presented by Ballardini et al. [1] are incorrect. The authors of that work claim that…
Excursion-set for Primordial Black Holes I: white noise and moving barrier
Pierre Auclair, Baptiste Blachier, Vincent Vennin
In the excursion-set formalism, the mass distribution of primordial black holes (PBHs) is derived from the first-passage time of a random walk describing the density contrast as th…
Breaking the Strings: the signatures of Cosmic String Loop Fragmentation
Pierre Auclair
We study the impact of fragmentation on the cosmic string loop number density, using an approach inspired by the three-scale model and a Boltzmann equation. We build a new formulat…
Harvesting primordial black holes from stochastic trees with
Chiara Animali, Pierre Auclair, Baptiste Blachier +1
We introduce a novel framework to implement stochastic inflation on stochastic trees, modelling the inflationary expansion as a branching process. Combined with the formalism,…
Clocking the End of Cosmic Inflation
Pierre Auclair, Baptiste Blachier, Christophe Ringeval
Making observable predictions for cosmic inflation requires determining when the wavenumbers of astrophysical interest today exited the Hubble radius during the inflationary epoch.…