Valuations on Polytopes Containing the Origin in Their Interiors
By Monika Ludwig. 2002
67 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/8e96b8c14b5b5b3416a7ec5960ef8edca46b6a4f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Monika Ludwig
- Yiming Zhao
- Gaoyong Zhang
- Deane Yang
- Erwin Lutwak
- Christoph Haberl
- Deping Ye
- Franz E. Schuster
In Geometry and Topology
- Monika Ludwig
- Deane Yang
- Gaoyong Zhang
- Erwin Lutwak
- Yiming Zhao
- Franz E. Schuster
- Christoph Haberl
- Deping Ye
Citations in the corpus
- A volume inequality for polar bodies (2010, unknown): “, [8–13, 15, 21–38, 41, 44,45,47–49,51]).”
- General affine surface areas (2009, background): “The family of Lφ affine surface areas for φ ∈ Conc(0,∞) is distinguished by the following basic properties (see [19] and [23], for characterizations of functionals that do not necessarily vanish on polytopes).”
- Volume Inequalities for Subspaces of L p (2004, unknown): “[7], [8], [9], [15], [16], [17], [22], [23], [24], [25], [26], [27], [28], [30], [29], [31], [32], [33], [34], [35], [39], [43], [44], [45], [46], [48]) motivated the search for a direct approach to establishing these reverse inequalities.”
- A classification of $\operatorname{SL}(n)$ invariant valuations (2010, background): “Combined with [32], where a classification of all Borel measurable, homogeneous and SL(n) invariant valuations on polytopes is obtained, this result implies Theorems 3 and 4.”
- The log-Brunn-Minkowski inequality (2012, unknown): “[5,8–12,16,18,22–30,32–55,58,62–65,67–69]).”
- Minkowski Areas and Valuations (2010, background): “Many of these affine functions on convex bodies can be completely characterized by their invariance and valuation properties (see, for example, [22, 23, 24, 33, 34, 35, 36, 37, 38, 40]).”
- Crofton Measures and Minkowski Valuations (2010, unknown): “, [1–5, 12, 14, 20, 25, 28, 30, 33, 34].”
- The even Orlicz-Minkowski problem (2010, unknown): “[1–5, 7–10, 12, 13, 15–22, 25–39, 41–44, 47, 49, 50, 52–55, 58, 60–63, 65–68]).”
- Lp John Ellipsoids (2005, background): “See [31, 33], and Ludwig [25].”
- Star body valued valuations (2009, unknown): “[1], [2], [17], [18], [22], [26], [27].”