Continuous Strong Markov Processes in Dimension One : A stochastic calculus approach

The book presents an in-depth study of arbitrary one-dimensional continuous strong Markov processes using methods of stochastic calculus. Departing from the classical approaches, a unified investigation of regular as well as arbitrary non-regular diffusions is provided. A general construction method...

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Hlavní autoři: Assing, Sigurd, 1965, Schmidt, Wolfgang, 1957-...., mathématicien (Autor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 1688
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Edition sous un autre format:• Continuous strong Markov processes in dimension one, a stochastic calculus approach, Sigurd Assing, Wolfgang M. Schmidt, 1998, Berlin, Springer, 1 vol. (XII-135 p.), Lecture notes in mathematics, 3-540-64465-2
• Continuous Strong Markov Processes in Dimension One, Texte imprimé, 9783662200780
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Shrnutí:The book presents an in-depth study of arbitrary one-dimensional continuous strong Markov processes using methods of stochastic calculus. Departing from the classical approaches, a unified investigation of regular as well as arbitrary non-regular diffusions is provided. A general construction method for such processes, based on a generalization of the concept of a perfect additive functional, is developed. The intrinsic decomposition of a continuous strong Markov semimartingale is discovered. The book also investigates relations to stochastic differential equations and fundamental examples of irregular diffusions.
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Archives Springer e-books (Licence nationale)
ISBN:9783540697862 (PDF)
ISSN:1617-9692
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