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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 diffusion.
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K. Ando and V. Vennin, Power spectrum in stochastic inflation , JCAP 04
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W. Hoeffding and H. Robbins, The central limit theorem for dependent random variables , in The Collected Works of Wassily Hoeffding , N.I. Fisher and P.K. Sen, eds., (New York, NY), pp. 205–213, Springer New York (1994), DOI
1994
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C.R. Evans and J.S. Coleman, Observation of critical phenomena and selfsimilarity in the gravitational collapse of radiation fluid , Phys. Rev. Lett. 72
1994
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T. Koike, T. Hara and S. Adachi, Critical behavior in gravitational collapse of radiation fluid: A Renormalization group (linear perturbation) analysis , Phys. Rev. Lett. 74
1995
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M. Sasaki and E.D. Stewart, A General analytic formula for the spectral index of the density perturbations produced during inflation , Prog. Theor. Phys. 95
1996
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J. Garcia-Bellido, A.D. Linde and D. Wands, Density perturbations and black hole formation in hybrid inflation , Phys. Rev. D 54
1996
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J.S. Bullock and J.R. Primack, NonGaussian fluctuations and primordial black holes from inflation , Phys. Rev. D 55
1997
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P. Ivanov, Nonlinear metric perturbations and production of primordial black holes , Phys. Rev. D 57
1998
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2012
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2013
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2014
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V. Vennin and A.A. Starobinsky, Correlation Functions in Stochastic Inflation , Eur. Phys. J. C 75
2015
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2015
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2018
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2018
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J. Tokuda and T. Tanaka, Statistical nature of infrared dynamics on de Sitter background , JCAP 02
2018
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2018
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H. Firouzjahi, A. Nassiri-Rad and M. Noorbala, Stochastic Ultra Slow Roll Inflation , JCAP 01
2019
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2019
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2021
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