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Semigroups in probability theory

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1540)

Keywords

  • Markov Process
  • Minimum Point
  • Dirichlet Form
  • Continuous Semigroup
  • Linear Contraction

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References

  1. W. Feller: The parabolic differential equations and the associated semigroups, Ann. Math. 55 (1952), 468–519.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Kôsaku Yosida Collected Papers, Springer-Verlag, to be published.

    Google Scholar 

  3. P. A. Meyer: Probability and potentials, Ginn (Blaisdell), Boston, 1966.

    MATH  Google Scholar 

  4. M. Fukushima: Dirichlet forms and Markov processes, Kodansha and North Holland, 1980.

    Google Scholar 

  5. J. L. Doob: Stochastic processes, John Wiley, 1953.

    Google Scholar 

  6. E. B. Dynkin: Markov processes I,II, Springer-Verlag, 1965.

    Google Scholar 

  7. D. W. Stroock-S. R. S. Varadhan: Multidimensional diffusion processes, Springer-Verlag, 1979.

    Google Scholar 

  8. W. Feller: The general diffusion operator and positivity preserving semi-groups in one-dimension, Ann. Math. 60 (1954), 417–436.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. K. Itô and H. P. Mckean: Diffusion processes and their sample paths, Springer-Verlag, 1965.

    Google Scholar 

  10. E. Hille and R. Phillips: Functional analysis and semi-groups, Colloq. Publ. Amer. Math. Soc. 1948 (1st. ed.), 1957 (2nd ed.).

    Google Scholar 

  11. A. D. Wentzell: On boundary conditions for multi-dimensional diffusion processes, Th. Prob. and Appl. 4 (1959), 164–177.

    CrossRef  MathSciNet  Google Scholar 

  12. K. Itô and H. P. McKean: Brownian motions on a half-line, Illinois Journ. Math. 7 (1963), 181–231.

    MathSciNet  MATH  Google Scholar 

  13. K. Itô: Poisson point processes attached to Markov processes, Proc. Sixth Berkeley Symp. Math. Statist. Prob. III (1970), 225–239.

    Google Scholar 

  14. S. Watanabe: Construction of diffusion processes with Wentzell's boundary conditions by means of Poisson point processes of Brownian excursions, Prob. Th., Banach Center Publications Vol. 5, 255–271, Polish Scientific Publishers, Warsaw, 1979.

    MATH  Google Scholar 

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© 1993 Springer-Verlag

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Itô, K. (1993). Semigroups in probability theory. In: Komatsu, H. (eds) Functional Analysis and Related Topics, 1991. Lecture Notes in Mathematics, vol 1540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085475

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  • DOI: https://doi.org/10.1007/BFb0085475

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56471-3

  • Online ISBN: 978-3-540-47565-1

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