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Titlebook: Brownian Motion and Stochastic Calculus; Ioannis Karatzas,Steven E. Shreve Textbook 1998Latest edition Springer Science+Business Media New

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樓主
發(fā)表于 2025-3-21 16:06:13 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Brownian Motion and Stochastic Calculus
影響因子2023Ioannis Karatzas,Steven E. Shreve
視頻videohttp://file.papertrans.cn/192/191322/191322.mp4
發(fā)行地址A perennial best-seller, now in its fourth printing.Brownian motion is currently a hot topic in mathematics.Karatzas is one of the leaders in the field of stochastics and finance
學科分類Graduate Texts in Mathematics
圖書封面Titlebook: Brownian Motion and Stochastic Calculus;  Ioannis Karatzas,Steven E. Shreve Textbook 1998Latest edition Springer Science+Business Media New
影響因子.This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). ..This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises..
Pindex Textbook 1998Latest edition
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發(fā)表于 2025-3-21 22:40:52 | 只看該作者
0072-5285 n the field of stochastics and finance.This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for t
板凳
發(fā)表于 2025-3-22 02:13:34 | 只看該作者
Martingales, Stopping Times, and Filtrations,imensional Euclidean space equipped with the σ-field of Borel sets, i.e., .= ?., .= ? (?.), where ?(.) will always be used to denote the smallest a-field containing all open sets of a topological space . The index . ∈ [O, ∞) of the random variables ., admits a convenient interpretation as
地板
發(fā)表于 2025-3-22 05:51:02 | 只看該作者
Stochastic Integration,akes the latter amenable to computation. All of this gave rise to the concept of ordinary differential equations, and it is the application of these equations to the modeling of real-world phenomena which reveals much of the power of calculus.
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https://doi.org/10.1007/978-3-030-81625-4imensional Euclidean space equipped with the σ-field of Borel sets, i.e., .= ?., .= ? (?.), where ?(.) will always be used to denote the smallest a-field containing all open sets of a topological space . The index . ∈ [O, ∞) of the random variables ., admits a convenient interpretation as
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,Wohnhof Dieselgasse 1994–1997,3.C), and the computation of the transition density for Brownian motion with two-valued drift (Section 6.5). This last computation arises in the problem of controlling the drift of a Brownian motion, within prescribed bounds, so as to keep the controlled process near the origin.
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Ioannis Karatzas,Steven E. ShreveA perennial best-seller, now in its fourth printing.Brownian motion is currently a hot topic in mathematics.Karatzas is one of the leaders in the field of stochastics and finance
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