Results 11 to 20 of about 489,827 (153)
The Brunn-Minkowski inequality [PDF]
Bulletin of the American Mathematical Society, 2002 This is a basic and high quality survey on the subject related to the isoperimetric inequality. As the author writes: ``This guide explains the relationship between Brunn-Minkowski inequality (B-M-I) and other inequalities in geometry and analysis, and some applications.'' This work can be considered as the up-to-date version of the excellent survey ...
Gardner, Richard J., R. J. Gardner
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The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity
Journal of Function Spaces, 2020 In this paper, we establish functional forms of the Orlicz Brunn-Minkowski inequality and the Orlicz-Minkowski inequality for the electrostatic q-capacity, which generalize previous results by Zou and Xiong.
Wei Wang, Juan Li, Rigao He, Lijuan Liu
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Lp-Brunn-Minkowski inequality [PDF]
Indagationes Mathematicae, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ChangJian, Z, Cheung, WS
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The log-Brunn–Minkowski inequality [PDF]
Advances in Mathematics, 2012 It is conjectured that for origin-symmetric convex bodies, there exist a family of inequalities each of which is stronger than the classical Minkowski mixed-volume inequality and a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality.
Böröczky, Károly (Ifj.) +3 more
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Gaussian Brunn-Minkowski inequalities [PDF]
Transactions of the American Mathematical Society, 2010 This paper focuses on two fundamental ingredients of mathematics: Gauss measure \(\gamma_n\), the most important probability measure in \(\mathbb{R}^n\), and the Brunn-Minkowski inequality, one of the most powerful inequalities in analysis and geometry.
Gardner, Richard J., Zvavitch, Artem
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The Brunn–Minkowski–Firey inequality for nonconvex sets [PDF]
Advances in Applied Mathematics, 2012 In this short note, the authors first extend the definition of Minkowski-Firey \(L_p\)-combinations from convex bodies to arbitrary subsets of Euclidean space, and then prove the Brunn-Minkowski-Firey inequality for compact (not necessarily convex) sets of \(\mathbb{R}^n\).
Erwin Lutwak, Deane Yang, Gaoyong Zhang
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A Brunn–Minkowski inequality for the Monge–Ampère eigenvalue [PDF]
Advances in Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salani, Paolo
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Entropic exercises around the Kneser–Poulsen conjecture
Mathematika, Volume 69, Issue 3, Page 841-866, July 2023., 2023 Abstract We develop an information‐theoretic approach to study the Kneser–Poulsen conjecture in discrete geometry. This leads us to a broad question regarding whether Rényi entropies of independent sums decrease when one of the summands is contracted by a 1‐Lipschitz map. We answer this question affirmatively in various cases.
Gautam Aishwarya +4 more
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Affine subspace concentration conditions for centered polytopes
Mathematika, Volume 69, Issue 2, Page 458-472, April 2023., 2023 Abstract Recently, K.‐Y. Wu introduced affine subspace concentration conditions for the cone volumes of polytopes and proved that the cone volumes of centered, reflexive, smooth lattice polytopes satisfy these conditions. We extend the result to arbitrary centered polytopes.
Ansgar Freyer +2 more
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On a geometric combination of functions related to Prékopa–Leindler inequality
Mathematika, Volume 69, Issue 2, Page 482-507, April 2023., 2023 Abstract We introduce a new operation between nonnegative integrable functions on Rn$\mathbb {R}^n$, that we call geometric combination; it is obtained via a mass transportation approach, playing with inverse distribution functions. The main feature of this operation is that the Lebesgue integral of the geometric combination equals the geometric mean ...
Graziano Crasta, Ilaria Fragalà
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