A characterization of spheres among compact 3-bodies satisfying Crofton's theorem
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Hans Herda (1976)
Colloquium Mathematicae
Hans Herda (1975)
Colloquium Mathematicae
Erich Novak (1987)
Mathematische Zeitschrift
Michel Bonnefont (2009)
Annales mathématiques Blaise Pascal
In the first part of the paper, we define an approximated Brunn-Minkowski inequality which generalizes the classical one for metric measure spaces. Our new definition, based only on properties of the distance, allows also us to deal with discrete metric measure spaces. Then we show the stability of our new inequality under convergence of metric measure spaces. This result gives as corollary the stability of the classical Brunn-Minkowski inequality for geodesic spaces. The proof of this stability...
Mau-Hsiang Shih, Kok-Keong Tan (1984)
Studia Mathematica
Rubinov, A.M., Glover, B.M., Jeyakumar, V. (1995)
Journal of Convex Analysis
Pech, Pavel (1998)
Mathematica Pannonica
A. Figalli, F. Maggi, A. Pratelli (2014)
Annales de l'I.H.P. Probabilités et statistiques
By elementary geometric arguments, correlation inequalities for radially symmetric probability measures are proved in the plane. Precisely, it is shown that the correlation ratio for pairs of width-decreasing sets is minimized within the class of infinite strips. Since open convex sets which are symmetric with respect to the origin turn out to be width-decreasing sets, Pitt’s Gaussian correlation inequality (the two-dimensional case of the long-standing Gaussian correlation conjecture) is derived...
G. Elekes (1986)
Discrete & computational geometry
Chu, Xiao-Guang, Wu, Yu-Dong (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Meyer, Mathieu, Reisner, Shlomo (2000)
Beiträge zur Algebra und Geometrie
Catherine Bandle (1974)
Commentarii mathematici Helvetici
Marcel Berger (1972)
Annales scientifiques de l'École Normale Supérieure
Groemer, H., Wallen, L.J. (2001)
Beiträge zur Algebra und Geometrie
P. Blanksby (1970)
Acta Arithmetica
J.M. Wills, P. Gritzmann, D. Wrase (1987)
Journal für die reine und angewandte Mathematik
Robert Osserman (1977)
Commentarii mathematici Helvetici
Milan Vlach (1977)
Commentationes Mathematicae Universitatis Carolinae
Rafał Latała, Krzysztof Oleszkiewicz (1995)
Colloquium Mathematicae
Bukh, Boris (2006)
The Electronic Journal of Combinatorics [electronic only]
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