Inflation in random Gaussian landscapes

Ali Masoumi, Alexander Vilenkin, Masaki Yamada

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


We develop analytic and numerical techniques for studying the statistics of slow-roll inflation in random Gaussian landscapes. As an illustration of these techniques, we analyze small-field inflation in a one-dimensional landscape. We calculate the probability distributions for the maximal number of e-folds and for the spectral index of density fluctuations n s and its running α s . These distributions have a universal form, insensitive to the correlation function of the Gaussian ensemble. We outline possible extensions of our methods to a large number of fields and to models of large-field inflation. These methods do not suffer from potential inconsistencies inherent in the Brownian motion technique, which has been used in most of the earlier treatments.

Original languageEnglish
Article number053
JournalJournal of Cosmology and Astroparticle Physics
Issue number5
Publication statusPublished - 2017 May 30


  • ination
  • initial conditions and eternal universe


Dive into the research topics of 'Inflation in random Gaussian landscapes'. Together they form a unique fingerprint.

Cite this