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Titlebook: Itô’s Stochastic Calculus and Probability Theory; Nobuyuki Ikeda (Professor),Shinzo Watanabe (Profes Book 1996 Springer-Verlag Tokyo 1996

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书目名称Itô’s Stochastic Calculus and Probability Theory
编辑Nobuyuki Ikeda (Professor),Shinzo Watanabe (Profes
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图书封面Titlebook: Itô’s Stochastic Calculus and Probability Theory;  Nobuyuki Ikeda (Professor),Shinzo Watanabe (Profes Book 1996 Springer-Verlag Tokyo 1996
描述Professor Kiyosi Ito is well known as the creator of the modern theory of stochastic analysis. Although Ito first proposed his theory, now known as Ito‘s stochastic analysis or Ito‘s stochastic calculus, about fifty years ago, its value in both pure and applied mathematics is becoming greater and greater. For almost all modern theories at the forefront of probability and related fields, Ito‘s analysis is indispensable as an essential instrument, and it will remain so in the future. For example, a basic formula, called the Ito formula, is well known and widely used in fields as diverse as physics and economics. .This volume contains 27 papers written by world-renowned probability theorists. Their subjects vary widely and they present new results and ideas in the fields where stochastic analysis plays an important role. Also included are several expository articles by well-known experts surveying recent developments. Not only mathematicians but also physicists, biologists, economists and researchers in other fields who are interested in the effectiveness of stochastic theory will find valuable suggestions for their research. In addition, students who are beginning their study and res
出版日期Book 1996
关键词Applied Mathematics; Probability theory; Stochastic calculus; calculus; differential equation; mathematic
版次1
doihttps://doi.org/10.1007/978-4-431-68532-6
isbn_softcover978-4-431-68534-0
isbn_ebook978-4-431-68532-6
copyrightSpringer-Verlag Tokyo 1996
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https://doi.org/10.1007/978-4-431-68532-6Applied Mathematics; Probability theory; Stochastic calculus; calculus; differential equation; mathematic
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Smooth measures and continuous additive functionals of right Markov processes,“smooth” measures on the state space of the process. We consider the correspondence in the context of a Borel right process with a distinguished excessive measure. A “nest” type characterization of smooth measures is provided, as well as a capacitary characterization of nests. Our results extend work of Revuz, Fukushima, and others.
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,Hall’s transform and the Segal-Bargmann map,It is shown how Hall’s transform for a compact Lie group can be derived from the infinite dimensional Segal-Bargmann transform by means of stochastic analysis.
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Van Vleck-Pauli formula for Wiener integrals and Jacobi fields,In this paper, we are concerned with the explicit evaluation of Wiener integrals from the viewpoint of geometry of the space of paths. Our main purpose is to emphasize the close ties between explicit expressions of Wiener integrals associated with quadratic functionals and aspects of the theory of Jacobi fields.
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,Analytic approach to Yor’s formula of exponential additive functionals of Brownian motion,Yor [4] obtained an exact formula for a one-dimensional Brownian motion {..}:
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K. D. Elworthy,Xue-Mei Li wetlands for various uses. Wetland restoration efforts require assessment of the level of ecohydrological restoration for the intended functions. Among the various indicators of success in wetland restoration, achieving the desired water level (hydrology) is the most important, faster to achieve, a
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