Aspects of Brownian Motion

Stochastic calculus and excursion theory are very efficient tools to obtain either exact or asymptotic results about Brownian motion and related processes. The emphasis of this book is on special classes of such Brownian functionals as: - Gaussian subspaces of the Gaussian space of Brownian motion;...

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Những tác giả chính: Mansuy, Roger. (Tác giả, http://id.loc.gov/vocabulary/relators/aut), Yor, Marc. (http://id.loc.gov/vocabulary/relators/aut)
Tác giả của công ty: SpringerLink (Online service)
Định dạng: Điện tử eBook
Ngôn ngữ:English
Được phát hành: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Phiên bản:1st ed. 2008.
Loạt:Universitext,
Những chủ đề:
Truy cập trực tuyến:https://doi.org/10.1007/978-3-540-49966-4
Các nhãn: Thêm thẻ
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Miêu tả
Tóm tắt:Stochastic calculus and excursion theory are very efficient tools to obtain either exact or asymptotic results about Brownian motion and related processes. The emphasis of this book is on special classes of such Brownian functionals as: - Gaussian subspaces of the Gaussian space of Brownian motion; - Brownian quadratic funtionals; - Brownian local times, - Exponential functionals of Brownian motion with drift; - Winding number of one or several Brownian motions around one or several points or a straight line, or curves; - Time spent by Brownian motion below a multiple of its one-sided supremum. Besides its obvious audience of students and lecturers the book also addresses the interests of researchers from core probability theory out to applied fields such as polymer physics and mathematical finance.
Mô tả vật lý:XIV, 200 p. online resource.
số ISBN:9783540499664
số ISSN:0172-5939