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math-ph2011★ 3 cited
A Central Limit Theorem in Many-Body Quantum Dynamics
Gerard Ben Arous, Kay Kirkpatrick, Benjamin Schlein
We study the many body quantum evolution of bosonic systems in the mean field limit. The dynamics is known to be well approximated by the Hartree equation. So far, the available re…
math.AP2011
Solitons and Gibbs measures for nonlinear Schroedinger equations
Kay Kirkpatrick
We review some recent results concerning Gibbs measures for nonlinear Schroedinger equations (NLS), with implications for the theory of the NLS, including stability and typicality…