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@TECHREPORT{Pedro:315739,
      author       = {Pedro, Francisco G. and Westphal, Alexander},
      title        = {{I}nflation with a graceful exit in a random landscape},
      number       = {IFT-UAM-CSIC-16-128},
      reportid     = {PUBDB-2016-06064, IFT-UAM-CSIC-16-128. DESY-16-224.
                      arXiv:1611.07059},
      series       = {Red Report},
      pages        = {29},
      year         = {2016},
      abstract     = {We 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.},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611) /
                      STRINGFLATION - Inflation in String Theory - Connecting
                      Quantum Gravity with Observations (647995) / HZ-NG-603 -
                      Strings and Cosmology - an Interface for Testing fundamental
                      Theories $(2015_IFV-HZ-NG-603)$},
      pid          = {G:(DE-HGF)POF3-611 / G:(EU-Grant)647995 /
                      $G:(DE-HGF)2015_IFV-HZ-NG-603$},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)3 / PUB:(DE-HGF)29 / PUB:(DE-HGF)15},
      eprint       = {1611.07059},
      howpublished = {arXiv:1611.07059},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1611.07059;\%\%$},
      doi          = {10.3204/PUBDB-2016-06064},
      url          = {https://bib-pubdb1.desy.de/record/315739},
}