Geodesic
No return to convexity
Jakub Onufry Wojtaszczyk1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
Studia Mathematica, Tome 199 (2010) no. 3, pp. 227-239 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the closures of classes of log-concave measures under taking weak limits, linear transformations and tensor products. We investigate which uniform measures on convex bodies can be obtained starting from some class $\cal K$. In particular we prove that if one starts from one-dimensional log-concave measures, one obtains no non-trivial uniform mesures on convex bodies.
DOI : 10.4064/sm199-3-2
Keywords: study closures classes log concave measures under taking weak limits linear transformations tensor products investigate which uniform measures convex bodies obtained starting class nbsp cal particular prove starts one dimensional log concave measures obtains non trivial uniform mesures convex bodies

Jakub Onufry Wojtaszczyk 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland 
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Jakub Onufry Wojtaszczyk. No return to convexity. Studia Mathematica, Tome 199 (2010) no. 3, pp. 227-239. doi: 10.4064/sm199-3-2

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