1.

Record Nr.

UNISA996466477003316

Autore

Roynette Bernard

Titolo

Penalising Brownian Paths [[electronic resource] /] / by Bernard Roynette, Marc Yor

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009

ISBN

3-540-89699-6

Edizione

[1st ed. 2009.]

Descrizione fisica

1 online resource (XIII, 275 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1969

Classificazione

MAT 604f

MAT 605f

MAT 607f

SI 850

*60-02

17,1

31.70

60-06

60F99

60G30

60G44

60J25

60J55

60J65

Disciplina

530.475

Soggetti

Probabilities

Probability Theory and Stochastic Processes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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.