Results 21 to 30 of about 654,419 (234)

Site percolation and isoperimetric inequalities for plane graphs [PDF]

Random Struct. Algorithms, 2019
We use isoperimetric inequalities combined with a new technique to prove upper bounds for the site percolation threshold of plane graphs with given minimum degree conditions.
J. Haslegrave, C. Panagiotis
semanticscholar   +1 more source

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

Functional and isoperimetric inequalities for probability measures on H-type groups [PDF]

, 2011
We investigate isoperimetric and functional inequalities for probability measures in the sub-elliptic setting and more specifically, on groups of Heisenberg type.
Kontis, Vasilis, Kontis, Vasilis
core   +1 more source

Quantitative isoperimetric inequalities for classical capillarity problems [PDF]

Calculus of Variations and Partial Differential Equations
We consider capillarity functionals which measure the perimeter of sets contained in a Euclidean half-space assigning a constant weight λ∈(-1,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Giulio Pascale, Marco Pozzetta
semanticscholar   +1 more source

Edge Isoperimetric Inequalities for Powers of the Hypercube [PDF]

Electronic Journal of Combinatorics, 2019
 For positive integers $n$ and $r$, we let $Q_n^r$ denote the $r$th power of the $n$-dimensional discrete hypercube graph, i.e., the graph with vertex-set $\{0,1\}^n,$ where two 0-1 vectors are joined if they are Hamming distance at most $r$ apart.
Cyrus Rashtchian, William Raynaud
semanticscholar   +1 more source

A sharp reverse Bonnesen-style inequality and generalization

Journal of Inequalities and Applications, 2019
We investigate the isoperimetric deficit of the oval domain in the Euclidean plane. Via the kinematic formulae of Poincaré and Blaschke, and Blaschke’s rolling theorem, we obtain a sharp reverse Bonnesen-style inequality for a plane oval domain, which ...
Pengfu Wang
doaj   +1 more source

Exact bounds for tail probabilities of martingales with bounded differences

Lietuvos Matematikos Rinkinys, 2009
We consider random walks, say Wn = {0, M1, . . ., Mn} of length n starting at 0 and based on a martingale sequence Mk = X1 + ··· + Xk with differences Xm. Assuming |Xk| \leq 1 we solve the isoperimetric problem Bn(x) = supP\{Wn visits an interval [x,∞
Dainius Dzindzalieta
doaj   +1 more source

Some isoperimetric inequalities with respect to monomial weights [PDF]

E S A I M: Control, Optimisation and Calculus of Variations, 2019
We solve a class of isoperimetric problems on ℝ+2 with respect to monomial weights. Let α and β be real numbers such that 0 ≤ α < β + 1, β ≤ 2α. We show that, among all smooth sets Ω in ℝ+2 with fixed weighted measure ∬Ωyβdxdy, the weighted perimeter ...
A. Alvino, F. Brock, F. Chiacchio, A. Mercaldo, M. Posteraro   +4 more
semanticscholar   +1 more source

DIASTOLIC AND ISOPERIMETRIC INEQUALITIES ON SURFACES [PDF]

Nous demontrons une inegalite universelle entre la diastole, definie par un procede de minimax sur l'espace des 1-cycles, et l'aire d'une surface riemannienne fermee.
F. Balacheff, S. Sabourau
semanticscholar   +1 more source

Reifenberg’s isoperimetric inequality revisited [PDF]

Calculus of Variations and Partial Differential Equations, 2019
We prove a generalization of Reifenberg's isoperimetric inequality. The main result of this paper is used to establish existence of a minimizer for an anisotropically-weighted area functional among a collection of surfaces which satisfies a set of axioms, namely being closed under certain deformations and Hausdorff limits.
openaire   +2 more sources