Search results for "Cheeger constant"

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Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants

2020

We provide a quantitative lower bound to the Cheeger constant of a set $\Omega$ in both the Euclidean and the Gaussian settings in terms of suitable asymmetry indexes. We provide examples which show that these quantitative estimates are sharp.

Gaussianmedia_common.quotation_subject01 natural sciencesUpper and lower boundsAsymmetryOmegaCombinatoricsSet (abstract data type)Cheeger sets; Cheeger constant; quantitative inequalitiessymbols.namesakeMathematics - Analysis of PDEsEuclidean geometryFOS: MathematicsMathematics::Metric Geometry0101 mathematicsepäyhtälötMathematicsmedia_common49Q10 49Q20 39B62osittaisdifferentiaaliyhtälöt010102 general mathematicsCheeger constantCheeger setsArticlesCheeger constant (graph theory)010101 applied mathematicssymbolsquantitative inequalitiesAnalysis of PDEs (math.AP)Annales Fennici Mathematici
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