Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Susanna Dann"'
Autor:
Sang Won Bae, Otfried Cheong, Chan-Su Shin, Dongwoo Park, Judit Abardia, Hee-Kap Ahn, Susanna Dann
Publikováno v:
Computational Geometry. 77:40-50
Given two convex d-polytopes P and Q in R d for d ⩾ 3 , we study the problem of bundling P and Q in a smallest convex container. More precisely, our problem asks to find a minimum convex set containing P and a translate of Q that do not properly ov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2cd4d834e9178f685a63d57ff8bfde94
https://doi.org/10.1016/j.comgeo.2018.02.004
https://doi.org/10.1016/j.comgeo.2018.02.004
Publikováno v:
Mathematika. 65:958-989
A flag area measure on an $n$-dimensional euclidean vector space is a continuous translation-invariant valuation with values in the space of signed measures on the flag manifold consisting of a unit vector $v$ and a $(p+1)$-dimensional linear subspac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98064c157e0fb0ba696d4526f96cd7ab
https://doi.org/10.1112/s0025579319000226
https://doi.org/10.1112/s0025579319000226
Publikováno v:
Proceedings of the London Mathematical Society. 113:140-162
Let $\mu$ be a probability measure on $\mathbb{R}^n$ with a bounded density $f$. We prove that the marginals of $f$ on most subspaces are well-bounded. For product measures, studied recently by Rudelson and Vershynin, our results show there is a trad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01f4231eb8280ac2125150fc936acacf
https://doi.org/10.1112/plms/pdw026
https://doi.org/10.1112/plms/pdw026
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different
Autor:
Marisa Zymonopoulou, Susanna Dann
Publikováno v:
Advances in Mathematics. 271:112-152
In this paper we study how certain symmetries of convex bodies affect their geometric properties. In particular, we consider the impact of symmetries generated by the block diagonal subgroup of orthogonal transformations, generalizing complex and qua
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa80c0809130cea5334a447ed10ce16e
https://doi.org/10.1016/j.aim.2014.11.023
https://doi.org/10.1016/j.aim.2014.11.023
Busemann's intersection inequality asserts that the only maximizers of the integral $\int_{S^{n-1}} |K\cap\xi^\perp|^n d\xi$ among all convex bodies of a fixed volume in $\mathbb R^n$ are centered ellipsoids. We study this question in the hyperbolic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b662086361b28b8f504707b5cd5c6e81
A convex polygon Q is circumscribed about a convex polygon P if every vertex of P lies on at least one side of Q. We present an algorithm for finding a maximum area convex polygon circumscribed about any given convex n-gon in O(n^3) time. As an appli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53437708a0ad1b20b087f22984a5dbe8
Autor:
Susanna Dann
Publikováno v:
Advances in Applied Mathematics. 53:44-60
The lower dimensional Busemann-Petty problem asks whether origin-symmetric convex bodies in R^n with smaller volume of all k-dimensional sections necessarily have smaller volume. The answer is negative for k>3. The problem is still open for k=2,3. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b0319f96c34f5609a189ee82a7df70da
https://doi.org/10.1016/j.aam.2013.09.006
https://doi.org/10.1016/j.aam.2013.09.006
Autor:
Susanna Dann
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 155:155-172
The Busemann–Petty problem asks whether origin-symmetric convex bodies in ℝn with smaller central hyperplane sections necessarily have smaller volume. The answer is affirmative if n ≤ 4 and negative if n ≥ 5. We study this problem in the comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d9cf8c9f1fd528695cb75a1d90efec9
https://doi.org/10.1017/s0305004113000054
https://doi.org/10.1017/s0305004113000054
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications, held March 29–30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD. It provides an in depth look at the many directions t