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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Autors principals: Assing, Sigurd, 1965, Schmidt, Wolfgang, 1957-...., mathématicien (Autor)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció: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
Taula de continguts:
  • Basic concepts and preparatory results
  • Classification of the points of the state space
  • Weakly additive functionals and time change of strong Markov processes
  • Semimartingale decomposition of continuous strong Markov semimartingales
  • Occupation time formula
  • Construction of continuous strong Markov processes
  • Continuous strong Markov semimartingales as solutions of stochastic differential equations.