Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic inflationary dynamics beyond slow-roll and consequences for
  primordial black hole formation   We consider the impact of quantum diffusion on inflationary dynamics during
an ultra-slow-roll phase, which can be of particular significance for the
formation of primordial black holes. We show, by means of a fully analytical
approach, that the power spectrum of comoving curvature perturbations computed
in stochastic inflation matches precisely, at the linear level, the result
obtained by solving the Mukhanov-Sasaki equation, even in the presence of an
ultra-slow-roll phase. We confirm this result numerically in a model in which
the inflaton has a polynomial potential and is coupled quadratically to the
Ricci scalar. En route, we assess the role that quantum noise plays in the
presence of an ultra-slow-roll phase, and clarify the issue of the
quantum-to-classical transition in this scenario.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol