Results 181 to 190 of about 654,419 (234)

A free boundary approach to shape optimization problems. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2015
Bucur D, Velichkov B.
europepmc   +1 more source

On tiny-probability lattice enumeration. [PDF]

open access: yesJpn J Ind Appl Math
Aono Y, Nguyen PQ.
europepmc   +1 more source

Affine isoperimetric inequalities for higher-order projection and centroid bodies

Mathematische Annalen, 2023
In 1970, Schneider introduced the m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
J. Haddad   +4 more
semanticscholar   +1 more source

On sharp isoperimetric inequalities on the hypercube

Transactions of the American Mathematical Society, 2023
We prove the sharp isoperimetric inequality $$ \mathbb{E} \,h_{A}^{\log_{2}(3/2)} \geq \mu(A)^{*} (\log_{2}(1/\mu(A)^{*}))^{\log_{2}(3/2)} $$ for all sets $A \subseteq \{0,1\}^n$, where $\mu$ denotes the uniform probability measure, $\mu(A)^{*}=\min\{\mu(
David Beltran   +2 more
semanticscholar   +1 more source

Affine fractional Sobolev and isoperimetric inequalities

Journal of differential geometry, 2022
Sharp affine fractional Sobolev inequalities for functions on $\mathbb R^n$ are established.
J. Haddad, M. Ludwig
semanticscholar   +1 more source

Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature

Mathematische Annalen, 2020
By using optimal mass transport theory we prove a sharp isoperimetric inequality in $${\textsf {CD}} (0,N)$$ CD ( 0 , N ) metric measure spaces assuming an asymptotic volume growth at infinity.
Z. Balogh, Alexandru Krist'aly
semanticscholar   +1 more source

Isoperimetric inequalities in high-dimensional convex sets

Bulletin of the American Mathematical Society
These are lecture notes focusing on recent progress towards Bourgain’s slicing problem and the isoperimetric conjecture proposed by Kannan, Lovasz, and Simonovits (KLS).
Bo'az Klartag, Joseph Lehec
semanticscholar   +1 more source

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