Articles liés à Potential Theory and Right Processes
Synopsis
This book develops the potential theory starting from a sub-Markovian resolvent of kernels on a measurable space, covering the context offered by a right process with general state space. It turns out that the main results from the classical cases (e.g., on locally compact spaces, with Green functions) have meaningful extensions to this setting. The study of the strongly supermedian functions and specific methods like the Revuz correspondence, for the largest class of measures, and the weak duality between two sub-Markovian resolvents of kernels are presented for the first time in a complete form. It is shown that the quasi-regular semi-Dirichlet forms fit in the weak duality hypothesis. Further results are related to the subordination operators and measure perturbations. The subject matter is supplied with a probabilistic counterpart, involving the homogeneous random measures, multiplicative, left and co-natural additive functionals.
The book is almost self-contained, being accessible to graduate students.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This book develops the potential theory starting from a sub-Markovian resolvent of kernels on a measurable space, covering the context offered by a right process with general state space. It turns out that the main results from the classical cases (e.g., on locally compact spaces, with Green functions) have meaningful extensions to this setting. The study of the strongly supermedian functions and specific methods like the Revuz correspondence, for the largest class of measures, and the weak duality between two sub-Markovian resolvents of kernels are presented for the first time in a complete form. It is shown that the quasi-regular semi-Dirichlet forms fit in the weak duality hypothesis. Further results are related to the subordination operators and measure perturbations. The subject matter is supplied with a probabilistic counterpart, involving the homogeneous random measures, multiplicative, left and co-natural additive functionals.
The book is almost self-contained, being accessible to graduate students.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Acheter neuf
Afficher cet article
EUR 48,37
EUR 9,70 expédition depuis Allemagne vers France
Destinations, frais et délais
Résultats de recherche pour Potential Theory and Right Processes
Image fournie par le vendeur
Potential Theory and Right Processes
Edité par
Springer Netherlands, 2010
ISBN 10 : 9048166713
ISBN 13 : 9789048166718
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 4 sur 5 étoiles
Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1: Excessive Functions. 1.1. Sub-Markovian resolvent of kernels. 1.2. Basics on excessive functions. 1.3. Fine topology. 1.4. Excessive measures. 1.5. Ray topology and compactification. 1.6. The reduction operation and the associated capacitie. N° de réf. du vendeur 5820521
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Potential Theory and Right Processes
Edité par
Springer Netherlands Dez 2010, 2010
ISBN 10 : 9048166713
ISBN 13 : 9789048166718
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The developmentsin the recent yearsof the potential theoryemphasized a classof functions larger than that of excessive functions (i.e. the positive superharmonic functionsfromtheclassicalpotentialtheoryassociatedwiththeLaplaceopera tor), namely the strongly supermedian functions. It turns out that a positive Borel function will be strongly supermedian if and only if it is the in mum of all its excessive majorants. Apparently, these functions have been introduced by J.F. Mertens and then they have been studied mainly by P.A. Meyer, G. Mokobodzki, D. Feyel and recently by P.J. Fitzsimmons and R.K. Getoor. The aimofthis bookisamongothersto developa potential theoryappropriate to this new class of functions. Although our methods are analytical, we present also the probabilistic counterparts from the Markov processes theory. The natural frame in which this theory is settled is given by a sub-Markovian resolvent of kernels on a Radon measurable space. After a possible extension of the space, such a resolvent becomes that one associated with a right process on a Radon topological space, not necessary locally compact and without existing a reference measure. Intimately related to the excessive functions we present certain basic tools of the theory: the Ray topology and compacti cation, the ne carrier and the reduction operation on measurable sets. We examine di erent types of negligible sets with respect to a nite measure :the -polar, -semipolar and -mince sets. We take advantage of the cone of potentials structure for both excessive functions and measures. 380 pp. Englisch. N° de réf. du vendeur 9789048166718
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
Potential Theory and Right Processes
Edité par
Springer Netherlands, Springer Netherlands Dez 2010, 2010
ISBN 10 : 9048166713
ISBN 13 : 9789048166718
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The developmentsin the recent yearsof the potential theoryemphasized a classof functions larger than that of excessive functions (i.e. the positive superharmonic functionsfromtheclassicalpotentialtheoryassociatedwiththeLaplaceoperator) , namely the strongly supermedian functions. It turns out that a positive Borel function will be strongly supermedian if and only if it is the in mum of all its excessive majorants. Apparently, these functions have been introduced by J.F. Mertens and then they have been studied mainly by P.A. Meyer, G. Mokobodzki, D. Feyel and recently by P.J. Fitzsimmons and R.K. Getoor. The aimofthis bookisamongothersto developa potential theoryappropriate to this new class of functions. Although our methods are analytical, we present also the probabilistic counterparts from the Markov processes theory. The natural frame in which this theory is settled is given by a sub-Markovian resolvent of kernels on a Radon measurable space. After a possible extension of the space, such a resolvent becomes that one associated with a right process on a Radon topological space, not necessary locally compact and without existing a reference measure. Intimately related to the excessive functions we present certain basic tools of the theory: the Ray topology and compacti cation, the ne carrier and the reduction operation on measurable sets. We examine di erent types of negligible sets with respect to a nite measure :the -polar, -semipolar and -mince sets. We take advantage of the cone of potentials structure for both excessive functions and measures.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 380 pp. Englisch. N° de réf. du vendeur 9789048166718
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
Potential Theory and Right Processes
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The developmentsin the recent yearsof the potential theoryemphasized a classof functions larger than that of excessive functions (i.e. the positive superharmonic functionsfromtheclassicalpotentialtheoryassociatedwiththeLaplaceoperator), namely the strongly supermedian functions. It turns out that a positive Borel function will be strongly supermedian if and only if it is the in mum of all its excessive majorants. Apparently, these functions have been introduced by J.F. Mertens and then they have been studied mainly by P.A. Meyer, G. Mokobodzki, D. Feyel and recently by P.J. Fitzsimmons and R.K. Getoor. The aimofthis bookisamongothersto developa potential theoryappropriate to this new class of functions. Although our methods are analytical, we present also the probabilistic counterparts from the Markov processes theory. The natural frame in which this theory is settled is given by a sub-Markovian resolvent of kernels on a Radon measurable space. After a possible extension of the space, such a resolvent becomes that one associated with a right process on a Radon topological space, not necessary locally compact and without existing a reference measure. Intimately related to the excessive functions we present certain basic tools of the theory: the Ray topology and compacti cation, the ne carrier and the reduction operation on measurable sets. We examine di erent types of negligible sets with respect to a nite measure :the -polar, -semipolar and -mince sets. We take advantage of the cone of potentials structure for both excessive functions and measures. N° de réf. du vendeur 9789048166718
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
Potential Theory and Right Processes
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 11867353-n
Quantité disponible : 15 disponible(s)
Image d'archives
Potential Theory and Right Processes
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. 2010. Paperback. . . . . . N° de réf. du vendeur V9789048166718
Quantité disponible : 15 disponible(s)
Image d'archives
Potential Theory and Right Processes (Mathematics and Its Applications)
Vendeur : California Books, Miami, FL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur I-9789048166718
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Potential Theory and Right Processes
Edité par
Springer, 2010
ISBN 10 : 9048166713
ISBN 13 : 9789048166718
Ancien ou d'occasion
Couverture souple
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 11867353
Quantité disponible : 15 disponible(s)
Image d'archives
Potential Theory and Right Processes
Vendeur : Books Puddle, New York, NY, Etats-Unis
Évaluation du vendeur 4 sur 5 étoiles
Etat : New. pp. 380. N° de réf. du vendeur 263064561
Quantité disponible : 4 disponible(s)
Image d'archives
Potential Theory and Right Processes
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. 2010. Paperback. . . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9789048166718
Quantité disponible : 15 disponible(s)