Probabilistic methods for discrete nonlinear Schr\"odinger equations
Analysis of PDEs
2015-03-17 v4 Mathematical Physics
math.MP
Probability
Abstract
We show that the thermodynamics of the focusing cubic discrete nonlinear Schrodinger equation are exactly solvable in dimensions three and higher. A number of explicit formulas are derived.
Cite
@article{arxiv.1009.5737,
title = {Probabilistic methods for discrete nonlinear Schr\"odinger equations},
author = {Sourav Chatterjee and Kay Kirkpatrick},
journal= {arXiv preprint arXiv:1009.5737},
year = {2015}
}
Comments
30 pages, 2 figures. To appear in Comm. Pure Appl. Math