Results 91 to 100 of about 654,419 (234)
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
Affine isoperimetric inequalities in the functional Orlicz-Brunn-Minkowski theory [PDF]
Advances in Applied Mathematics, 2015 In this paper, we develop a basic theory of Orlicz affine and geominimal surface areas for convex and $s$-concave functions. We prove some basic properties for these newly introduced functional affine invariants and establish related functional affine ...
Umut Caglar, Deping Ye
semanticscholar +1 more source
The sharp quantitative isoperimetric inequality [PDF]
Annals of Mathematics, 2008 The isoperimetric inequality states that for any Borel set \(E\subset{\mathbb R}^n\), \(n\geq 2\), with finite Lebesgue measure \(|E|\) it holds \(P(E)\geq n\omega_n^{1/n}|E|^{(n-1)/n}\), with equality if and only if \(E\) is a ball. Here \(P\) denotes the (distributional) perimeter and \(\omega_n\) is the measure of the unit ball \(B\subset{\mathbb R}^
FUSCO, NICOLA, MAGGI F., PRATELLI A.
openaire +7 more sources
Machine Learning for Maximizing the Memristivity of Single and Coupled Quantum Memristors
Advanced Quantum Technologies, Volume 8, Issue 12, December 2025.Machine learning (ML) methods are proposed to characterize the memristive properties of single and coupled quantum memristors. It is shown that maximizing the memristivity leads to large values in the degree of entanglement of two quantum memristors, unveiling the close relationship between quantum correlations and memory.
Carlos Hernani‐Morales +5 more
wiley +1 more source
Symmetrization results for a multi-exponent, degenerate and anisotropic electrostatic problem
Le Matematiche, 1999 In this paper, we give some isoperimetric inequalities for the capacity c p of an anisotropic configuration.
Gonoko Moussa
doaj
Gaussian-type Isoperimetric Inequalities in $RCD(K,\infty)$ probability spaces for positive $K$ [PDF]
, 2016 In this paper we adapt the well-estabilished $\Gamma$-calculus techniques to the context of $RCD(K,\infty)$ spaces, proving Bobkov's local isoperimetric inequality and, when $K$ is positive, the Gaussian isoperimetric inequality in this class of spaces ...
L. Ambrosio, Andrea Mondino
semanticscholar +1 more source
Expanderizing Higher‐Order Random Walks
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT We study a variant of the down‐up (also known as the Glauber dynamics) and up‐down walks over an n$$ n $$‐partite simplicial complex, which we call expanderized higher‐order random walks—where the sequence of updated coordinates corresponds to the sequence of vertices visited by a random walk over an auxiliary expander graph H$$ H $$. When H$$
Vedat Levi Alev, Shravas Rao
wiley +1 more source
Sharp inequalities for coherent states and their optimizers
Advanced Nonlinear Studies, 2023 We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
doaj +1 more source
Isoperimetric-type inequalities for iterated Brownian motion in R^n
, 2006 We extend generalized isoperimetric-type inequalities to iterated Brownian motion over several domains in $\RR{R}^{n}$. These kinds of inequalities imply in particular that for domains of finite volume, the exit distribution and moments of the first exit
Allouba +15 more
core +1 more source
Frustration and isoperimetric inequalities for signed graphs
Discrete Applied Mathematics, 2017 Let G ź = ( V , E , ź ) be a connected signed graph. Using the equivalence between signed graphs and 2 -lifts of graphs, we show that the frustration index of G ź is bounded from below and above by expressions involving another graph invariant, the ...
Florian Martin
semanticscholar +1 more source