TY - BOOK AU - AU - ED - SpringerLink (Online service) TI - Penalising Brownian Paths T2 - Lecture Notes in Mathematics, SN - 9783540896999 PY - 2009/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Distribution (Probability theory) KW - Probability Theory and Stochastic Processes N1 - 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; ZDB-2-SMA; ZDB-2-LNM N2 - 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 UR - http://dx.doi.org/10.1007/978-3-540-89699-9 ER -