Results 11 to 20 of about 363,583 (199)
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
openaire +2 more sources
Isoperimetric Inequalities for Convex Cones [PDF]
Proceedings of the American Mathematical Society, 1990 We present here an isoperimetric inequality for sets contained in a convex cone. Some applications to symmetrization problems and Sobolev inequalities are also indicated.
LIONS P. L., PACELLA, Filomena
openaire +4 more sources
Isoperimetric inequalities in graphs and surfaces [PDF]
Electronic Notes in Discrete Mathematics, 2014 Let M be the set of metric spaces that are either graphs with bounded degree or Riemannian manifolds with bounded geometry. Kanai proved the quasi-isometric stability of several geometric properties (in particular, of isoperimetric inequalities) for the spaces in M.
Cantón Pire, Alicia +3 more
openaire +5 more sources
Isoperimetric inequalities for conformal moments of plane domains [PDF]
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 +1 more source
Isoperimetric inequalities in Riemann surfaces and graphs [PDF]
, 2021 A celebrated theorem of Kanai states that quasi-isometries preserve isoperimetric inequalities between uniform Riemannian manifolds (with positive injectivity radius) and graphs.
Martínez Pérez, Álvaro +2 more
core +1 more source
Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature [PDF]
, 2022 By using optimal mass transport theory we prove a sharp isoperimetric inequality in CD(0,N) metric measure spaces assuming an asymptotic volume growth at infinity.
Kristály, Alexandru, Balogh, Zoltán M.
core +1 more source
on some discrete Bonnesen-style isoperimetric inequalities [PDF]
, 2023 This article deals with the sharp discrete isoperimetric inequalities in analysis and geometry for planar convex polygons. First, the analytic isoperimetric inequalities based on Schur convex function are established.
Dong, Xu, Zeng, Chunna
core +1 more source
Isoperimetric Inequalities in Carnot Groups [PDF]
, 2012 The isoperimetric problem is a very classical problem whose history dates back to more than two thousand years ago. Roughly speaking, the isoperimetric problem is to determine the largest possible area enclosed by a closed curve which has a specified ...
Liming Wang (114648)
core +6 more sources
An Asymptotic Isoperimetric Inequality [PDF]
Geometric And Functional Analysis, 1998 For a finite metric space \(V\) with a metric \(\rho\) and probability measure \(\mu\), let \(V^n\) be the product metric space in which the distance between \(a= (a_1,\dots, a_n)\) and \(b= (b_1,\dots, b_n)\) is \(\rho_n(a,b)= \sum_i\rho(a_i, b_i)\) and the measure \(\mu_n(a_1,\dots, a_n)= \prod_i\mu(a_i)\). For any \(d\geq 0\) the \(d\)-neighbourhood
Alon, N., Boppana, R., Spencer, J.
openaire +2 more sources
Isoperimetric and Functional Inequalities
Моделирование и анализ информационных систем, 2018 We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) --
Vladimir S. Klimov
doaj +1 more source