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@ARTICLE{Pedro:320189,
      author       = {Pedro, Francisco and Westphal, Alexander},
      title        = {{I}nflation with a {G}raceful {E}xit in a {R}andom
                      {L}andscape},
      journal      = {Journal of high energy physics},
      volume       = {2017},
      number       = {3},
      issn         = {1029-8479},
      address      = {Berlin},
      publisher    = {Springer},
      reportid     = {PUBDB-2017-01557, IFT-UAM-CSIC-16-128 DESY-16-224.
                      arXiv:1611.07059},
      pages        = {163},
      year         = {2017},
      abstract     = {We develop a stochastic description of small-field
                      inationary histories witha graceful exit in a random
                      potential whose Hessian is a Gaussian random matrix as
                      amodel of the unstructured part of the string landscape. The
                      dynamical evolution in sucha random potential from a
                      small-field ination region towards a viable late-time de
                      Sitter(dS) minimum maps to the dynamics of Dyson Brownian
                      motion describing the relaxationof non-equilibrium
                      eigenvalue spectra in random matrix theory. We analytically
                      computethe relaxation probability in a saddle point
                      approximation of the partition function ofthe eigenvalue
                      distribution of the Wigner ensemble describing the mass
                      matrices of thecritical points. When applied to small-field
                      ination in the landscape, this leads to anexponentially
                      strong bias against small-field ranges and an upper bound
                      $N\ll$ 10 on thenumber of light fields $N$ participating
                      during ination from the non-observation of negativespatial
                      curvature.},
      keywords     = {matrix model: random (INSPIRE) / potential: random
                      (INSPIRE) / inflation (INSPIRE) / landscape (INSPIRE) /
                      saddle-point approximation (INSPIRE) / critical phenomena
                      (INSPIRE) / partition function (INSPIRE) / Brownian motion
                      (INSPIRE) / stochastic (INSPIRE) / curvature (INSPIRE) / de
                      Sitter (INSPIRE) / history (INSPIRE) / string (INSPIRE)},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611) /
                      HZ-NG-603 - Strings and Cosmology - an Interface for Testing
                      fundamental Theories $(2015_IFV-HZ-NG-603)$},
      pid          = {G:(DE-HGF)POF3-611 / $G:(DE-HGF)2015_IFV-HZ-NG-603$},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)29 / PUB:(DE-HGF)16},
      eprint       = {1611.07059},
      howpublished = {arXiv:1611.07059},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1611.07059;\%\%$},
      UT           = {WOS:000397972200004},
      doi          = {10.1007/JHEP03(2017)163},
      url          = {https://bib-pubdb1.desy.de/record/320189},
}