Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension

We consider two models for directed polymers in space-time independent random media (the O'Connell-Yor semidiscrete directed polymer and the continuum directed random polymer) at positive temperature and prove their KPZ universality via asymptotic analysis of exact Fredholm determinant formulas...

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Bibliographic Details
Main Authors: Borodin, Alexei, Corwin, Ivan, Ferrari, Patrik
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Wiley Blackwell 2015
Online Access:http://hdl.handle.net/1721.1/92806
https://orcid.org/0000-0002-2913-5238