Loeb Measures in Practice : Recent Advances
This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1751 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Loeb measures in practice, recent advances, Nigel J. Cutland, 2000, Berlin, Springer, 1 vol. (XI-111 p.), Lecture notes in mathematics, 3-540-41384-7 • Loeb Measures in Practice: Recent Advances, Texte imprimé, 9783662211908 |
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| 100 | 1 | |a Cutland, Nigel, |d 1944- | |
| 245 | 1 | 0 | |a Loeb Measures in Practice : |b Recent Advances |c Nigel J. Cutland. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1751 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Loeb Measures: Introduction -- Nonstandard Analysis -- Construction of Loeb Measures -- Loeb Integration Theory -- Elementary Applications. Stochastic Fluid Mechanics: Introduction -- Solution of the Deterministic Navier-Stokes Equations -- Solution of the Stochastic Navier-Stokes Equations -- Stochastic Euler Equations -- Statistical Solutions -- Attractors for the Navier-Stokes Equations -- Measure Attractors for Stochastic Navier-Stokes Equations -- Stochastic Attractors for Navier-Stokes Equations -- Attractors for the 3-dimensional Stochastic Navier-Stokes Equations. Stochastic Calculus of Variations: Introduction -- Flat Integral Representation of Wiener Measure -- The Wiener Sphere -- Brownian Motion on the Wiener Sphere and the Infinite Dimensional Ornstein-Uhlenbeck Process -- Malliavin Calculus. Mathematical Finance Theory: Introduction -- The Cox-Ross-Rubinstein Models -- Options and Contingent Claims -- The Black-Scholes Model... The complete table of contents can be found on the Internet: http://www.springer.de. | |
| 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 This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed. | ||
| 650 | |a Théorie de la mesure | ||
| 650 | |a Analyse mathématique non standard | ||
| 650 | |a Logique symbolique et mathématique | ||
| 650 | |a Probabilités | ||
| 650 | |a Mathématiques | ||
| 650 | |a Finances |x Modèles mathématiques | ||
| 650 | |a Fonctions d'une variable réelle | ||
| 776 | 0 | |0 070056609 |t Loeb measures in practice |o recent advances |f Nigel J. Cutland |d 2000 |c Berlin |n Springer |p 1 vol. (XI-111 p.) |s Lecture notes in mathematics |z 3-540-41384-7 | |
| 776 | 0 | |t Loeb Measures in Practice: Recent Advances |b Texte imprimé |z 9783662211908 | |
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| 856 | 4 | |5 452349901:750679220 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b76881 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754155838 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b76881 |z Accès INSA CVL | |
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