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000315739 0247_ $$2arXiv$$aarXiv:1611.07059
000315739 0247_ $$2datacite_doi$$a10.3204/PUBDB-2016-06064
000315739 0247_ $$2inspire$$ainspire:1499698
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000315739 0881_ $$aIFT-UAM-CSIC-16-128; DESY-16-224; arXiv:1611.07059
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000315739 088__ $$2arXiv$$aarXiv:1611.07059
000315739 1001_ $$0P:(DE-HGF)0$$aPedro, Francisco G.$$b0$$eCorresponding author
000315739 245__ $$aInflation with a graceful exit in a random landscape
000315739 260__ $$c2016
000315739 300__ $$a29
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000315739 520__ $$aWe develop a stochastic description of small-field inflationary histories with a graceful exit in a random potential whose Hessian is a Gaussian random matrix as a model of the unstructured part of the string landscape. The dynamical evolution in such a random potential from a small-field inflation region towards a viable late-time de Sitter (dS) minimum maps to the dynamics of Dyson Brownian motion describing the relaxation of non-equilibrium eigenvalue spectra in random matrix theory. We analytically compute the relaxation probability in a saddle point approximation of the partition function of the eigenvalue distribution of the Wigner ensemble describing the mass matrices of the critical points. When applied to small-field inflation in the landscape, this leads to an exponentially strong bias against small-field ranges and an upper bound $N\ll 10$ on the number of light fields $N$ participating during inflation from the non-observation of negative spatial curvature.
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000315739 536__ $$0G:(DE-HGF)2015_IFV-HZ-NG-603$$aHZ-NG-603 - Strings and Cosmology - an Interface for Testing fundamental Theories (2015_IFV-HZ-NG-603)$$c2015_IFV-HZ-NG-603$$x2
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000315739 7001_ $$0P:(DE-H253)PIP1013212$$aWestphal, Alexander$$b1
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