Victor Dotsenko
Published 2017-03-13Version 1
This review is devoted to the detailed consideration of the universal statistical properties of one-dimensional directed polymers in a random potential. In terms of the replica Bethe ansatz technique we derive several exact results for different types of the free energy probability distribution functions. In the second part of the review we discuss the problems which are still waiting for their solutions. Several mathematical appendices in the ending part of the review contain various technical details of the performed calculations.
Comments: 68 pages, 7 figures
Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential
Study of Kosterlitz-Thouless transition of Bose systems governed by a random potential using quantum Monte Carlo simulations
Statistical Properties of Contact Maps
![QR code for arXiv:1703.04305 [cond-mat.stat-mech]](http://oss.arxitics.com/images/favicon.svg)