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Combining the stochastic and $\delta N$ formalisms, we derive non perturbative analytical expressions for all correlation functions of scalar perturbations in single-field, slow-roll inflation.
K. Itô, Stochastic integral
1944
Earlier work this paper cites.
E. M. Lifshitz and I. M. Khalatnikov, About singularities of cosmological solutions of the gravitational equations. I
1960
Earlier work this paper cites.
R. L. Stratonovich, A New Representation for Stochastic Integrals and Equations
1966
Earlier work this paper cites.
Springer Verlag, Berlin Heidelberg New York, 1972, p.108
I. Gihman and A. Skorohod, Stochastic Differential Equations · 1972
Earlier work this paper cites.
T. Bunch and P. Davies, Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting
1978
Earlier work this paper cites.
A. A. Starobinsky, Spectrum of relict gravitational radiation and the early state of the universe
1979
Earlier work this paper cites.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity
1980
Earlier work this paper cites.
L. Smolin, Gravitational Radiative Corrections as the Origin of Spontaneous Symmetry Breaking!
1980
Earlier work this paper cites.
K. Sato, First Order Phase Transition of a Vacuum and Expansion of the Universe
1981
Earlier work this paper cites.
A. H. Guth, The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems
1981
Earlier work this paper cites.
V. F. Mukhanov and G. Chibisov, Quantum Fluctuation and Nonsingular Universe
1981
Earlier work this paper cites.
A. D. Linde, A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems
1982
Earlier work this paper cites.
A. Albrecht and P. J. Steinhardt, Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking
1982
Earlier work this paper cites.
S. Hawking, The Development of Irregularities in a Single Bubble Inflationary Universe
1982
Earlier work this paper cites.
A. A. Starobinsky, Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations
1982
Earlier work this paper cites.
A. H. Guth and S. Pi, Fluctuations in the New Inflationary Universe
1982
Earlier work this paper cites.
A. D. Linde, Chaotic Inflation
1983
Earlier work this paper cites.
J. M. Bardeen, P. J. Steinhardt, and M. S. Turner, Spontaneous Creation of Almost Scale - Free Density Perturbations in an Inflationary Universe
1983
Earlier work this paper cites.
A. A. Starobinsky, Isotropization of arbitrary cosmological expansion given an effective cosmological constant
1983
Earlier work this paper cites.
W. A. Bardeen and M. Moshe, Phase Structure of the O(N) Vector Model
1983
Earlier work this paper cites.
H. Kodama and M. Sasaki, Cosmological Perturbation Theory
1984
Earlier work this paper cites.
V. F. Mukhanov, Gravitational Instability of the Universe Filled with a Scalar Field
1985
Earlier work this paper cites.
A. A. Starobinsky, Multicomponent de Sitter (Inflationary) Stages and the Generation of Perturbations
1985
Earlier work this paper cites.
F. Lucchin and S. Matarrese, Power Law Inflation
1985
Earlier work this paper cites.
A. A. Starobinsky, Stochastic de Sitter (inflationary) stage in the early universe
1986
Earlier work this paper cites.
Y. Nambu and M. Sasaki, Stochastic Stage of an Inflationary Universe Model
1988
Earlier work this paper cites.
K.-i. Nakao, Y. Nambu, and M. Sasaki, Stochastic Dynamics of New Inflation
1988
Earlier work this paper cites.
V. F. Mukhanov, Quantum Theory of Gauge Invariant Cosmological Perturbations
1988
Earlier work this paper cites.
Y. Nambu and M. Sasaki, Stochastic Approach to Chaotic Inflation and the Distribution of Universes
1989
Earlier work this paper cites.
H. E. Kandrup, Stochastic inflation as a time dependent random walk
1989
Earlier work this paper cites.
Y. Nambu, Stochastic Dynamics of an Inflationary Model and Initial Distribution of Universes
1989
Earlier work this paper cites.
D. Salopek and J. Bond, Nonlinear evolution of long wavelength metric fluctuations in inflationary models
1990
Earlier work this paper cites.
A. D. Linde, Particle physics and inflationary cosmology
1990
Earlier work this paper cites.
S. Mollerach, S. Matarrese, A. Ortolan, and F. Lucchin, Stochastic inflation in a simple two field model
1991
Cited alongside, same era.
A. D. Linde, D. A. Linde, and A. Mezhlumian, From the Big Bang theory to the theory of a stationary universe
1994
Cited alongside, same era.
A. A. Starobinsky and J. Yokoyama, Equilibrium state of a selfinteracting scalar field in the De Sitter background
1994
Cited alongside, same era.
G. Comer, N. Deruelle, D. Langlois, and J. Parry, Growth or decay of cosmological inhomogeneities as a function of their equation of state
1994
Cited alongside, same era.
A. D. Linde, Hybrid inflation
1994
Cited alongside, same era.
D. Polarski and A. A. Starobinsky, Semiclassicality and decoherence of cosmological perturbations
J. Martin and M. Musso, Solving stochastic inflation for arbitrary potentials
2006
Later among the works it cites.
D. H. Lyth, MSSM inflation
2007
Later among the works it cites.
D. Seery, One-loop corrections to a scalar field during inflation
2007
Later among the works it cites.
2007
Later among the works it cites.
G. Marozzi, Back-reaction of Cosmological Fluctuations during Power-Law Inflation
2007
Later among the works it cites.
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1996
Cited alongside, same era.
S. Winitzki and A. Vilenkin, Uncertainties of predictions in models of eternal inflation
1996
Cited alongside, same era.
M. Sasaki and E. D. Stewart, A General analytic formula for the spectral index of the density perturbations produced during inflation
1996
Cited alongside, same era.
J. Lesgourgues, D. Polarski, and A. A. Starobinsky, Quantum to classical transition of cosmological perturbations for nonvacuum initial states
1997
Cited alongside, same era.
A. Matacz, Inflation and the fine tuning problem
1997
Cited alongside, same era.
F. Kuhnel and D. J. Schwarz, Stochastic Inflation and Dimensional Reduction
1998
Cited alongside, same era.
M. Sasaki and T. Tanaka, Superhorizon scale dynamics of multiscalar inflation
1998
Cited alongside, same era.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
R. Allahverdi, B. Dutta, and A. Mazumdar, Attraction towards an inflection point inflation
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
C. Kiefer and D. Polarski, Why do cosmological perturbations look classical to us?
2009
Later among the works it cites.
2009
Later among the works it cites.
F. Kuhnel and D. J. Schwarz, Stochastic Inflation and Replica Field Theory
2009
Later among the works it cites.
2009
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
F. Kuhnel and D. J. Schwarz, Large-Scale Suppression from Stochastic Inflation
2010
Later among the works it cites.
K. Enqvist, A. Mazumdar, and P. Stephens, Inflection point inflation within supersymmetry
2010
Later among the works it cites.
2010
Later among the works it cites.
L. Lorenz, J. Martin, and J. Yokoyama, Geometrically Consistent Approach to Stochastic DBI Inflation
2010
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D. Seery, Infrared effects in inflationary correlation functions
2010
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2011
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2012
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2013
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2013
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2014
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J. Martin, C. Ringeval, and V. Vennin, Encyclopædia Inflationaris
2014
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J. Martin, C. Ringeval, R. Trotta, and V. Vennin, The Best Inflationary Models After Planck
2014
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