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    Article

    The Wave Maps Equation and Brownian Paths

    We discuss the \((1+1)\) ( 1 + ...

    Bjoern Bringmann, Jonas Lührmann in Communications in Mathematical Physics (2024)

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    Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation

    We establish probabilistic small data global well-posedness of the energy-critical Maxwell–Klein–Gordon equation relative to the Coulomb gauge for scaling super-critical random initial data. The proof relies o...

    Joachim Krieger, Jonas Lührmann in Archive for Rational Mechanics and Analysis (2023)

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    Randomization and the Gross–Pitaevskii Hierarchy

    We study the Gross–Pitaevskii hierarchy on the spatial domain \({\mathbb{T}^3}\) ...

    Vedran Sohinger, Gigliola Staffilani in Archive for Rational Mechanics and Analysis (2015)

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    Article

    On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions

    We consider a general class of discrete nonlinear Schrödinger equations (DNLS) on the lattice \({h\mathbb{Z}}\) with ...

    Kay Kirkpatrick, Enno Lenzmann in Communications in Mathematical Physics (2013)