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We analyse field fluctuations during an Ultra Slow-Roll phase in the stochastic picture of inflation and the resulting non-Gaussian curvature perturbation, fully including the gravitational backreaction of the field's velocity.
1905
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1907
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N. C. Tsamis and R. P. Woodard, Phys. Rev. D 69
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D. H. Lyth, K. A. Malik and M. Sasaki, “A General proof of the conservation of the curvature perturbation,” JCAP 0505
2005
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D. H. Lyth and Y. Rodriguez, “The Inflationary prediction for primordial non-Gaussianity,” Phys. Rev. Lett. 95
2005
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W. H. Kinney, “Horizon crossing and inflation with large eta,” Phys. Rev. D 72
2005
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N. C. Tsamis and R. P. Woodard, “Stochastic quantum gravitational inflation,” Nucl. Phys. B 724
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G. I. Rigopoulos, E. P. S. Shellard and B. J. W. van Tent, “Quantitative bispectra from multifield inflation,” Phys. Rev. D 76
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Nico G. van Kampen, “Stochastic processes in physics and chemistry,” North Holland 1981, 3rd edn., 2007, ISBN 0-444-89349-0
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2015
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2015
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2016
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2016
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K. Dimopoulos, “Ultra slow-roll inflation demystified,” Phys. Lett. B 775
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2008
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2008
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2009
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Oeksendal, Bernt K. (2003), “Stochastic Differential Equations: An Introduction with Applications,” Springer, Berlin. ISBN 3-540-04758-1. Ludwig Arnold, “Stochastic Differential Equations: Theory and Applications,” ISBN-10: 9780471033592 ISBN-13: 978-0471033592, Wiley-Blackwell, New York (1974). I. I. Grihman and A. V. Skorokod, “Stochastic Differential Equations,” Springer (1972). Crispin W. Gardiner, “Handbook of Stochastic Methods,” ISBN10 978-3-540-70712-7, ISBN13 978-3-642-08962-6, Springer-Verlag (2009)
2009
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2010
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N. S. Sugiyama, E. Komatsu and T. Futamase, “ δ \delta N formalism,” Phys. Rev. D 87
2013
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M. H. Namjoo, H. Firouzjahi and M. Sasaki, “Violation of non-Gaussianity consistency relation in a single field inflationary model,” EPL 101
2013
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2017
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2017
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2017
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I. Moss and G. Rigopoulos, “Effective long wavelength scalar dynamics in de Sitter,” JCAP 1705
2017
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2017
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J. J. Sakurai and J. Napolitano, “Modern quantum Mechanics,” 2 nd 2^{\rm nd} edition, Cambridge University Press, 2017
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2018
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2018
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J. Garcia-Bellido, “Primordial Black Holes,” PoS EDSU 2018
2018
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2018
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2019
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