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Autore: | Roynette Bernard |
Titolo: | Penalising Brownian paths / / Bernard Roynette, Marc Yor |
Pubblicazione: | Berlin, : Springer, c2009 |
Edizione: | 1st ed. 2009. |
Descrizione fisica: | 1 online resource (XIII, 275 p.) |
Disciplina: | 530.475 |
Soggetto topico: | Brownian motion processes |
Martingales (Mathematics) | |
Classificazione: | MAT 604f |
MAT 605f | |
MAT 607f | |
SI 850 | |
*60-02 | |
17,1 | |
31.70 | |
60-06 | |
60F99 | |
60G30 | |
60G44 | |
60J25 | |
60J55 | |
60J65 | |
Altri autori: | YorMarc |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | Some penalisations of theWiener measure -- Feynman-Kac penalisations for Brownian motion -- Penalisations of a Bessel process with dimension d(0 d 2) by a function of the ranked lengths of its excursions -- A general principle and some questions about penalisations. |
Sommario/riassunto: | Penalising a process is to modify its distribution with a limiting procedure, thus defining a new process whose properties differ somewhat from those of the original one. We are presenting a number of examples of such penalisations in the Brownian and Bessel processes framework. The Martingale theory plays a crucial role. A general principle for penalisation emerges from these examples. In particular, it is shown in the Brownian framework that a positive sigma-finite measure takes a large class of penalisations into account. |
Titolo autorizzato: | Penalising Brownian Paths |
ISBN: | 3-540-89699-6 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910483753603321 |
Lo trovi qui: | Univ. Federico II |
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