Results 81 to 90 of about 520,398 (211)
Inequalities and counterexamples for functional intrinsic volumes and beyond
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley +1 more source
On The Relative Isoperimetric Inequality
, 2002 If C C, does D satisfy the isoperimetric inequality #nVolume(D) ? Does equality hold if and only if C = H and D is a half ball with the flat part of its boundary lying in #H?
Jaigyoung Choe
core
Orlicz Mean Dual Affine Quermassintegrals
Journal of Function Spaces, 2018 Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
doaj +1 more source
On Convergence of a Family of Random Walks in the Infinite Dimensional Stiefel Manifold
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we study random walks taking values in an infinite‐dimensional space—either a Hilbert space or an infinite‐dimensional manifold embedded in it, such as the Stiefel manifold. These random walks arise in problems in shape theory, particularly when stochastic optimization is applied.
Andrea C. G. Mennucci, Shikha Binwal
wiley +1 more source
Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
Journal of Function Spaces, 2018 Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
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Isoperimetric inequalities for conformal moments of plane domains
Journal of Inequalities and Applications, 2002 We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected domain (F.
Avkhadiev FG, Salahudinov RG
doaj
Accelerating black hole chemistry
Physics Letters B, 2019 We introduce a new set of chemical variables for the accelerating black hole. We show how these expressions suggest that conical defects emerging from a black hole can be considered as true hair – a new charge that the black hole can carry – and discuss ...
Ruth Gregory, Andrew Scoins
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The sharp quantitative isoperimetric inequality
, 2008 A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture by ...
MAGGI F. +7 more
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Characterization of Low Dimensional RCD*(K, N) Spaces
Analysis and Geometry in Metric Spaces, 2016 In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called RCD*(K, N) spaces) with non-empty one dimensional regular sets.
Kitabeppu Yu, Lakzian Sajjad
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An inequality related to the isoperimetric inequality [PDF]
Bulletin of the American Mathematical Society, 1949 Loomis, L. H., Whitney, H.
openaire +4 more sources