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May 5, 2015 at 12:06 vote accept valle
May 5, 2015 at 0:56 comment added Yoav Kallus take a look at my revised answer.
May 4, 2015 at 21:15 comment added valle What about other properties of $f$? Is it a piecewise polynomial? Or something else?
Apr 10, 2014 at 19:58 answer added Yoav Kallus timeline score: 2
Apr 10, 2014 at 13:28 comment added Yoav Kallus The words you're looking for are "Brunn-Minkowski theorem". If $S$ is full rank, that is, the section volumes you are taking are $(n-m-1)$-dimensional, then $f_k^{1/(n-m-1)}$ is concave.
Apr 10, 2014 at 12:33 history edited valle CC BY-SA 3.0
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Mar 28, 2014 at 12:42 history edited valle CC BY-SA 3.0
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Mar 27, 2014 at 12:14 history edited valle CC BY-SA 3.0
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Mar 27, 2014 at 0:35 history asked valle CC BY-SA 3.0