Geodesic
Santaló Region of a Log-Concave Function
Journal of convex analysis, Tome 20 (2013) no. 2, pp. 453-474.

Voir la notice de l'article provenant de la source Heldermann Verlag

We define the Santaló-Region and the Floating Body of a log-concave function on Rn. We then study their properties. Our main result is that any relation of floating body and Santaló region of a convex body is translated to a relation of floating body and Santaló region of an even log-concave function. 
@article{JCA_2013_20_2_JCA_2013_20_2_a7,
     author = {T. Weissblat},
     title = {Santal\'o {Region} of a {Log-Concave} {Function}},
     journal = {Journal of convex analysis},
     pages = {453--474},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_2_JCA_2013_20_2_a7/}
}
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T. Weissblat. Santaló Region of a Log-Concave Function. Journal of convex analysis, Tome 20 (2013) no. 2, pp. 453-474. http://geodesic.mathdoc.fr/item/JCA_2013_20_2_JCA_2013_20_2_a7/