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arXiv · 1009.5737

Probabilistic methods for discrete nonlinear Schr\"odinger equations

Sourav Chatterjee·Kay Kirkpatrick
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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.

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Sourav Chatterjee, Kay Kirkpatrick. 2010-09-29. Probabilistic methods for discrete nonlinear Schr\"odinger equations. https://arxiv.org/abs/1009.5737

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