Zobrazeno 1 - 10
of 299
pro vyhledávání: '"Schuett, C"'
We study a long standing open problem by Ulam, which is whether the Euclidean ball is the unique body of uniform density which will float in equilibrium in any direction. We answer this problem in the class of origin symmetric n-dimensional convex bo
Externí odkaz:
http://arxiv.org/abs/2010.09006
The convex hull of N independent random points chosen on the boundary of a simple polytope in R^n is investigated. Asymptotic formulas for the expected number of vertices and facets, and for the expectation of the volume difference are derived. This
Externí odkaz:
http://arxiv.org/abs/1911.05917
Given a convex body K in R^n and p in R, we introduce and study the extremal inner and outer affine surface areas IS_p(K) = sup_{K'\subseteq K} (as_p(K') ) and os_p(K)=inf_{K'\supseteq K} (as_p(K') ), where as_p(K') denotes the L_p-affine surface are
Externí odkaz:
http://arxiv.org/abs/1908.07897
Publikováno v:
In Journal of Complexity August 2022 71
Publikováno v:
In Journal of Functional Analysis 15 August 2020 279(3)
In contemporary convex geometry, the rapidly developing L_p-Brunn Minkowski theory is a modern analogue of the classical Brunn Minkowski theory. A cornerstone of this theory is the L_p-affine surface area for convex bodies. Here, we introduce a funct
Externí odkaz:
http://arxiv.org/abs/1402.3250
We give a functional version of the affine isoperimetric inequality for log-concave functions which may be interpreted as an inverse form of a logarithmic Sobolev inequality inequality for entropy. A linearization of this inequality gives an inverse
Externí odkaz:
http://arxiv.org/abs/1110.5551
Publikováno v:
Proceedings of the American Mathematical Society. 150:3037-3048
We study a long standing open problem by Ulam, which is whether the Euclidean ball is the unique body of uniform density which will float in equilibrium in any direction. We answer this problem in the class of origin symmetric n n -dimensional convex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb76128f6c7b935553ea71e13c96d5c6
https://doi.org/10.1090/proc/15697
https://doi.org/10.1090/proc/15697
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