Search results for "47H40"

showing 2 items of 2 documents

On Edelstein Type Multivalued Random Operators

2014

The purpose of this paper is to provide stochastic versions of several results on fixed point theorems in the literature.

Settore MAT/05 - Analisi MatematicaCommon fixed pointMultivalued mappingsRandom operatorMetricspace2000 AMS Classification:47H0947H1047H4054H2560H25multivalued mappingmetric space.common fixed pointrandom operator
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Interior Eigenvalue Density of Jordan Matrices with Random Perturbations

2017

International audience; We study the eigenvalue distribution of a large Jordan block subject to a small random Gaussian perturbation. A result by E. B. Davies and M. Hager shows that as the dimension of the matrix gets large, with probability close to 1, most of the eigenvalues are close to a circle.We study the expected eigenvalue density of the perturbed Jordan block in the interior of that circle and give a precise asymptotic description.; Nous étudions la distribution de valeurs propres d’un grand bloc de Jordan soumis à une petite perturbation gaussienne aléatoire. Un résultat de E. B. Davies et M. Hager montre que quand la dimension de la matrice devient grande, alors avec probabilité…

[ MATH ] Mathematics [math]Jordan matrixSpectral theoryGaussian010102 general mathematicsMathematical analysisPerturbation (astronomy)Mathematics::Spectral Theory01 natural sciences010104 statistics & probabilityMatrix (mathematics)symbols.namesakesymbolsRandom perturbations[MATH]Mathematics [math]MSC: 47A10 47B80 47H40 47A550101 mathematicsDivide-and-conquer eigenvalue algorithmSpectral theoryEigenvalue perturbationEigenvalues and eigenvectorsNon-self-adjoint operatorsMathematics
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