Results 11 to 20 of about 654,419 (234)
Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces [PDF]
Journal of Functional Analysis, 2016 We extend the recent $L^{1}$ uncertainty inequalities obtained by Dall'ara-Trevisan to the metric setting. For this purpose we introduce a new class of weights, named *isoperimetric weights*, for which the growth of the measure of their level sets $\mu(\{
Martin, Joaquim, Milman, Mario
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Isoperimetric, Sobolev, and eigenvalue inequalities via the Alexandroff-Bakelman-Pucci method: A survey [PDF]
Chinese Annals of Mathematics Series B, 2017 This paper presents the proof of several inequalities by using the technique introduced by Alexandroff, Bakelman, and Pucci to establish their ABP estimate.
Cabré Vilagut, Xavier
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Some weighted isoperimetric inequalities in quantitative form [PDF]
Journal of Functional Analysis, 2022 In this paper we study two different weighted isoperimetric inequalities. In the first part of the paper we prove a sharp stability result for the isoperimetric inequality with a log-convex weight. In the second part we analize the behavior of a negative
N. Fusco, Domenico Angelo La Manna
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Stability of isoperimetric inequalities for laplace eigenvalues on surfaces [PDF]
Journal of differential geometry, 2021 We prove stability estimates for the isoperimetric inequalities for the first and the second nonzero Laplace eigenvalues on surfaces, both globally and in a fixed conformal class.
Mikhail A. Karpukhin +3 more
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Higher-Order L Isoperimetric and Sobolev Inequalities [PDF]
Journal of Functional Analysis, 2023 Schneider introduced an inter-dimensional difference body operator on convex bodies and proved an associated inequality. In the prequel to this work, we showed that this concept can be extended to a rich class of operators from convex geometry and proved
J. Haddad +4 more
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Isoperimetric inequalities for Poincaré duality groups [PDF]
Proceedings of the American Mathematical Society, 2020 We show that every oriented $n$-dimensional Poincare duality group over a $*$-ring $R$ is amenable or satisfies a linear homological isoperimetric inequality in dimension $n-1$. As an application, we prove the Tits alternative for such groups when $n=2$.
Dawid Kielak, P. Kropholler
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Sharp quantitative stability for isoperimetric inequalities with homogeneous weights [PDF]
, 2020 We prove the sharp quantitative stability for a wide class of weighted isoperimetric inequalities. More precisely, we consider isoperimetric inequalities in convex cones with homogeneous weights.
E. Cinti +4 more
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Entropic Isoperimetric Inequalities
, 2023 We discuss optimal bounds on the Rényi entropies in terms of the Fisher information. In Information Theory, such relations are also known as entropic isoperimetric inequalities.
Bobkov, Sergey, Roberto, Cyril
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Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators [PDF]
Journal of Functional Analysis, 2019 In recent years there has been considerable interest in geometric objects that can be interpreted as a non-infinitesimal version of classical minimal surfaces. Such sets arise e.g.
N. Garofalo, G. Tralli
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Quantitative isoperimetric inequalities in H^n [PDF]
, 2015 In the Heisenberg group H^n, we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions.
Franceschi, Valentina +2 more
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