Moment-entropy inequalities
By Erwin Lutwak, Deane Yang, Gaoyong Zhang. 2004
128 citations recorded by the source corpus.
Subfields: Applied Mathematics, Molecular Biology
View Paper: https://www.semanticscholar.org/paper/3fa675f079049ae04fdb07572e7d9f32cb7b8380
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
- Elisabeth M. Werner
- Christoph Haberl
- Umut Caglar
- Yiming Zhao
- Deane Yang
- Gaoyong Zhang
- Erwin Lutwak
In Molecular Biology
- Monika Ludwig
- Christoph Haberl
- Umut Caglar
- Matthieu Fradelizi
- Grigoris Paouris
- Mathieu Meyer
- Elisabeth M. Werner
- Christophe Vignat
Citations in the corpus
- Fisher information and matrix-valued valuations (2011, background): “The proof of the theorem is based on the intriguing connection between information theory and the L2 Brunn Minkowski Theory (see [12,13,17,23, 35–42,47,48] for information on the Lp Brunn Minkowski Theory).”
- Minkowski Areas and Valuations (2010, background): “In recent years, such affine functions on convex bodies have attracted increased interest (see, for example, [10, 14, 18, 21, 25, 26, 41, 42, 43, 45, 46, 56, 57]).”
- Some functional forms of Blaschke–Santaló inequality (2006, background): “[15] gave other very different functional forms of the Blaschke–Santaló inequality and recently Klartag and Milman [13], Klartag [12] and Colesanti [6] also established functional forms of some other geometric inequalities.”
- Relative entropy of cone measures and Lp centroid bodies (2009, background): “E. Lutwak and G. Zhang, ‘Blaschke–Santaló inequalities’, J. Differential Geom.”
- Some functional inverse Santalo inequalities (2008, unknown): “See for instance [1,2,5–8,10,13,14,16].”
- Some results concerning maximum Renyi entropy distributions (2005, background): “The paper [15] gives more general results concerning the maximum entropy property, in a more geometric context.”
- Star body valued valuations (2009, background): “In addition, these bodies led to sharp information theoretic inequalities [32] and deep results concerning concentration of mass [38].”
- Divergence for s-concave and log concave functions (2013, background): “Applications are given in the theory of convex bodies.”
- R\'enyi Divergence and $L_p$-affine surface area for convex bodies (2011, background): “[24,26,27,29] established further connections between convexity and information theory.”