Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Florian Besau"'
Autor:
Florian Besau, Steven Hoehner
Publikováno v:
Communications in Contemporary Mathematics.
A new intrinsic volume metric is introduced for the class of convex bodies in [Formula: see text]. As an application, an inequality is proved for the asymptotic best approximation of the Euclidean unit ball by arbitrarily positioned polytopes with a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e28c9c87d19e9fcdf0b043934fe65b49
https://doi.org/10.1142/s0219199723500062
https://doi.org/10.1142/s0219199723500062
Publikováno v:
Mathematische Annalen. 381:1345-1372
We establish central limit theorems for natural volumes of random inscribed polytopes in projective Riemannian or Finsler geometries. In addition, normal approximation of dual volumes and the mean width of random polyhedral sets are obtained. We dedu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e23d222cb4e0eb33fe87e8f2772afeee
https://doi.org/10.1007/s00208-021-02257-9
https://doi.org/10.1007/s00208-021-02257-9
Autor:
Julian Grote, Elisabeth M. Werner, Zakhar Kabluchko, Christoph Thäle, Florian Besau, David Alonso-Gutiérrez, Matthias Reitzner, Beatrice-Helen Vritsiou
Publikováno v:
Zaguán: Repositorio Digital de la Universidad de Zaragoza
Universidad de Zaragoza
Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname
Universidad de Zaragoza
Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname
Central limit theorems for the log-volume of a class of random convex bodies in R n \mathbb {R}^n are obtained in the high-dimensional regime, that is, as n → ∞ n\to \infty . In particular, the case of random simplices pinned at the origin and si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d15e6e8e995fc8cc3f8f4d1a7d6d0f3e
http://zaguan.unizar.es/record/95758
http://zaguan.unizar.es/record/95758
Publikováno v:
Advances in Mathematics. 338:912-952
We investigate weighted floating bodies of polytopes. We show that the weighted volume depends on the complete flags of the polytope. This connection is obtained by introducing flag simplices, which translate between the metric and combinatorial stru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12880931ec1008a2e65fc1a936133d98
https://doi.org/10.1016/j.aim.2018.09.006
https://doi.org/10.1016/j.aim.2018.09.006
Autor:
Florian Besau, Christoph Thäle
Asymptotic normality for the natural volume measure of random polytopes generated by random points distributed uniformly in a convex body in spherical or hyperbolic spaces is proved. Also the case of Hilbert geometries is treated and central limit th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb66363bd5b57c77d6d2211b08d4cfb2
http://arxiv.org/abs/1909.05607
http://arxiv.org/abs/1909.05607
We establish estimates for the asymptotic best approximation of the Euclidean unit ball by polytopes under a notion of distance induced by the intrinsic volumes. We also introduce a notion of distance between convex bodies that is induced by the Will
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8220a3f3eaef5159f9a7a9b876ced6a1
http://arxiv.org/abs/1905.08862
http://arxiv.org/abs/1905.08862
Autor:
Florian Besau, Franz Schuster
Publikováno v:
Indiana University Mathematics Journal. 65:1263-1288
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e92e7d95c49e1c1325b2fe09a5be56a
https://doi.org/10.1512/iumj.2016.65.5867
https://doi.org/10.1512/iumj.2016.65.5867
Autor:
Florian Besau, Elisabeth M. Werner
Publikováno v:
J. Differential Geom. 110, no. 2 (2018), 187-220
We carry out a systematic investigation on floating bodies in real space forms. A new unifying approach not only allows us to treat the important classical case of Euclidean space as well as the recent extension to the Euclidean unit sphere, but also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25a2ac3324c72edb1c286a01dae3b673
http://arxiv.org/abs/1606.07690
http://arxiv.org/abs/1606.07690
Autor:
Florian Besau, Elisabeth M. Werner
For a convex body on the Euclidean unit sphere the spherical convex floating body is introduced. The asymptotic behavior of the volume difference of a spherical convex body and its spherical floating body is investigated. This gives rise to a new sph
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13394a4f894bf4f0d2460f0520bc86be
http://arxiv.org/abs/1411.7664
http://arxiv.org/abs/1411.7664