Energy minimisers of prescribed winding number in an S1-valued nonlocal Allen-Cahn type model
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DOI: 10.1016/j.aim.2019.106819
Abstract: Abstract We study a variational model for transition layers with an underlying functional that combines an Allen-Cahn type structure with an additional nonlocal interaction term. A transition layer is represented by a map from R… read more here.
Keywords: prescribed winding; cahn type; model; allen cahn ... See more keywords
An Extension to Winding Number and Point-in-Polygon Algorithm
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DOI: 10.1016/j.ifacol.2018.05.092
Abstract: Abstract This work is an extension of an axis-crossing algorithm to compute winding number for solving point in polygon for an arbitary polygon. Polygons are popular drawings in computer graphics to represent different types of… read more here.
Keywords: number; number point; winding number; point polygon ... See more keywords
Measuring the Winding Number in a Large-Scale Chiral Quantum Walk.
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DOI: 10.1103/physrevlett.120.260501
Abstract: We report the experimental measurement of the winding number in an unitary chiral quantum walk. Fundamentally, the spin-orbit coupling in discrete time quantum walks is implemented via a birefringent crystal collinearly cut based on a… read more here.
Keywords: quantum walk; quantum; chiral quantum; winding number ... See more keywords