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Global well-posedness and scattering for the defocusing cubic NLS in four dimensions
Global well-posedness scattering the defocusing cubic NLS
2010/11/11
In this short note we present a new proof of the global well-posedness and scattering result for the defocusing energy-critical NLS in four space dimensions obtained previously by Ryckman and Visan. ...
Loop-Erased Walks Intersect Infinitely Often in Four Dimensions
Random Walks Loop-Erased Walks Intersections
2009/5/8
In this short note we show that the paths two independent loop-erased random walks in four dimensions intersect infinitely often. We actually prove the stronger result that the cut-points of the two w...
Higher Derivative Quantum Gravity Near Four Dimensions
Higher Derivative Quantum Gravity Four Dimensions
2010/10/18
We investigate the role of the Gauss-Bonnet term for the n = 4 and n = 4¡e renormalization group, for both conformal and general versions of the theory. The cancellation of the quantum effects o...