No return to convexity

• Autorzy: Jakub Onufry Wojtaszczyk
• Języki publikacji: EN

Abstrakty

EN

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 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.

Kategorie tematyczne

• 52A23: Asymptotic theory of convex bodies

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 199
• Numer: 3
• Strony: 227-239

Daty

wydano

2010

Twórcy

autor

Jakub Onufry Wojtaszczyk

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm199-3-2