6 papers
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…
The Science of the Einstein Telescope
Adrian Abac, Raul Abramo, Simone Albanesi +485
Einstein Telescope (ET) is the European project for a gravitational-wave (GW) observatory of third-generation. In this paper we present a comprehensive discussion of its science ob…
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…