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Singularities of the Wigner Caustic and the Centre Symmetry Set of Frontal Curves in the Euclidean Plane

Zwierzyński, Michał
arXiv (OAI Expanded) · Papers
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differential-geometry
Motivated by the role of the Wigner caustic in semiclassical phase-space analysis, we extend it, together with the centre symmetry set, from regular planar curves to cooriented frontals. For an angularly regular parallel pair, the signed speed of the Wigner caustic is one half of the difference of t
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