On boundary arcs joining antipodal points of a planar convex body.
Averkov, Gennadiy (2006)
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Averkov, Gennadiy (2006)
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Rataj, J. (2005)
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Kutateladze, S.S. (2002)
Sibirskij Matematicheskij Zhurnal
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Martini, Horst, Wenzel, Walter (2003)
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Yohann de Castro (2011)
Annales mathématiques Blaise Pascal
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In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a half-space. Using only geometric tools, we extend their result to all symmetric log-concave measures on the real line. We give sharp quantitative isoperimetric inequalities and prove that among sets of given measure and given asymmetry (distance to half line, i.e. distance to sets...
Juhnke, Friedrich (2004)
Beiträge zur Algebra und Geometrie
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Edmonds, Allan L., Hajja, Mowaffaq, Martini, Horst (2005)
Beiträge zur Algebra und Geometrie
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