Probabilistic methods for discrete nonlinear Schrödinger equations

Details Probabilistic methods for discrete nonlinear Schrödinger equations Probabilistic methods for discrete nonlinear Schrödinger equations

2010-09-29

arxiv.org/abs/1009.5737v4

Mathematics

Analysis of PDEs

30 pages, 2 figures. To appear in Comm. Pure Appl. Math

Scientific paper

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.

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