Stochastic and Integral Geometry
Stochastic geometry has in recent years experienced considerable progress, both in its applications to other sciences and engineering, and in its theoretical foundations and mathematical expansion. This book, by two eminent specialists of the subject, provides a solid mathematical treatment of the b...
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| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2008. |
| Collection: | Probability and Its Applications
|
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 688 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Stochastic and integral geometry, Rolf Schneider, Wolfgang Weil, 2008, Berlin, Springer, 1 vol. (XI-693 p.), Probability and its applications, 978-3-540-78858-4 • Stochastic and Integral Geometry, Texte imprimé, 9783540871521 • Stochastic and integral geometry, Rolf Schneider, Wolfgang Weil, 2008, Berlin, Springer, 1 vol. (XI-693 p.), Probability and its applications, 978-3-540-78858-4 |
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|---|---|---|---|
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| 009 | PPN129062243 | ||
| 020 | |a 9783540788591 | ||
| 041 | 0 | |a eng | |
| 082 | |a 519.2 | ||
| 084 | |a 60D05. 2010 | ||
| 084 | |a 52A22. 2010 | ||
| 084 | |a 60G55. 2010 | ||
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| 100 | 1 | |a Schneider, Rolf, |d 1940- | |
| 245 | 1 | 0 | |a Stochastic and Integral Geometry |c Rolf Schneider, Wolfgang Weil. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Probability and Its Applications | |
| 500 | |a L'impression du document génère 688 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Foundations of Stochastic Geometry Prolog Random Closed Sets Point Processes Geometric Models Integral Geometry Averaging with Invariant Measures Extended Concepts of Integral Geometry Integral Geometric Transformations Selected Topics from Stochastic Geometry Some Geometric Probability Problems Mean Values for Random Sets Random Mosaics Non-stationary Models Facts from General Topology Invariant Measures Facts from Convex Geometry. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Stochastic geometry has in recent years experienced considerable progress, both in its applications to other sciences and engineering, and in its theoretical foundations and mathematical expansion. This book, by two eminent specialists of the subject, provides a solid mathematical treatment of the basic models of stochastic geometry -- random sets, point processes of geometric objects (particles, flats), and random mosaics. It develops, in a measure-theoretic setting, the integral geometry for the motion and the translation group, as needed for the investigation of these models under the usual invariance assumptions. A characteristic of the book is the interplay between stochastic and geometric arguments, leading to various major results. Its main theme, once the foundations have been laid, is the quantitative investigation of the basic models. This comprises the introduction of suitable parameters, in the form of functional densities, relations between them, and approaches to their estimation. Much additional information on stochastic geometry is collected in the section notes. As a combination of probability theory and geometry, the volume is intended for readers from either field. Probabilists with interest in random spatial structures, or motivated by the prospect of applications, will find an in-depth presentation of the geometric background. Geometers can see integral geometry "at work" and may be surprised to learn how classical results from convex geometry have elegant applications in a stochastic setting. | ||
| 650 | |a Probabilités géométriques | ||
| 650 | |a Géométrie intégrale | ||
| 650 | |a Géométrie stochastique | ||
| 700 | 1 | |a Weil, Wolfgang, |d 1945- |4 aut | |
| 776 | 0 | |0 12811584X |t Stochastic and integral geometry |f Rolf Schneider, Wolfgang Weil |d 2008 |c Berlin |n Springer |p 1 vol. (XI-693 p.) |s Probability and its applications |z 978-3-540-78858-4 | |
| 776 | 0 | |t Stochastic and Integral Geometry |b Texte imprimé |z 9783540871521 | |
| 776 | 0 | |0 12811584X |t Stochastic and integral geometry |f Rolf Schneider, Wolfgang Weil |d 2008 |c Berlin |n Springer |p 1 vol. (XI-693 p.) |s Probability and its applications |z 978-3-540-78858-4 | |
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