Local Times and Excursion Theory for Brownian Motion [electronic resource] : A Tale of Wiener and Itô Measures / by Ju-Yi Yen, Marc Yor.
Material type: TextSeries: Lecture Notes in Mathematics ; 2088Publisher: Cham : Springer International Publishing : Imprint: Springer, 2013Description: IX, 135 p. 9 illus., 8 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319012704Subject(s): Mathematics | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic ProcessesAdditional physical formats: Printed edition:: No titleDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK11 |
Prerequisites -- Local times of continuous semimartingales -- Excursion theory for Brownian paths -- Some applications of Excursion Theory -- Index.
This monograph discusses the existence and regularity properties of local times associated to a continuous semimartingale, as well as excursion theory for Brownian paths. Realizations of Brownian excursion processes may be translated in terms of the realizations of a Wiener process under certain conditions. With this aim in mind, the monograph presents applications to topics which are not usually treated with the same tools, e.g.: arc sine law, laws of functionals of Brownian motion, and the Feynman-Kac formula.
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