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Titlebook: Aspects of Brownian Motion; Roger Mansuy,Marc Yor Textbook 2008 Springer-Verlag Berlin Heidelberg 2008 Bessel process.Brownian functionals

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期刊全称Aspects of Brownian Motion
影响因子2023Roger Mansuy,Marc Yor
视频video
发行地址Senior author Marc Yor is a world-leader in the field of Brownian motion and martingales.Thorough update and revision of previously published ETH Lectures.Includes supplementary material:
学科分类Universitext
图书封面Titlebook: Aspects of Brownian Motion;  Roger Mansuy,Marc Yor Textbook 2008 Springer-Verlag Berlin Heidelberg 2008 Bessel process.Brownian functionals
影响因子.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. .
Pindex Textbook 2008
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https://doi.org/10.1007/BFb0091561 .), which is expressed by the identity: . This chapter may be considered as a warm-up, and is intended to show that some interesting properties of Brownian motion may be deduced easily from the covariance identity (1.1).
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0172-5939 d ETH Lectures.Includes supplementary material: .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 su
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https://doi.org/10.1007/978-3-319-12667-8ion. To compute this distribution, we can proceed in a manner which is similar to that used in the second part of Chapter 5, in that we also rely upon the exact knowledge of the semigroups of the Bessel processes.
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On some exponential functionals of Brownian motion and the problem of Asian options,ion. To compute this distribution, we can proceed in a manner which is similar to that used in the second part of Chapter 5, in that we also rely upon the exact knowledge of the semigroups of the Bessel processes.
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Some asymptotic laws for multidimensional ,allianpur-Robbins ergodic theorem for planar ., to extend Spitzer’s theorem: . into a multidimensional result for the winding numbers (., .,…, .) of planar . around . points (all notations which may be alluded to, but not defined in this chapter are found in Pitman-Yor [75]).
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