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Potential of recurrent symmetric Markov processes and its associated Dirichlet spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 923)

Keywords

  • Markov Process
  • Stochastic Differential Equation
  • Dirichlet Form
  • Dirichlet Space
  • Quantum Mechanical Tunneling

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References

  1. S. Albeverio, M. Fukushima, W. Karwowski and L. Streit, Capacity and quantum mechanical tunneling, to appear.

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  2. M. Fukushima, Dirichlet forms and Markov processes, North-Holland and Kodansha, 1980.

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  3. Y. Ôshima, On the equilibrium measure of recurrent Markov processes, Osaka J. Math., 15 (1978), 283–310.

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  4. Y. Ôshima, Some singular diffusion processes and their associated stochastic differential equations, to appear.

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  5. D. Revuz, Sur la théorie du potential pour les processus de Markov récurrents, Ann. Inst. Fourier Grenoble, 21 (1971), 245–262.

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  6. M. Silverstein, Symmetric Markov processes, Lecture Notes in Math., 426, Springer Verlag, 1974.

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© 1982 Springer-Verlag

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Ôshima, Y. (1982). Potential of recurrent symmetric Markov processes and its associated Dirichlet spaces. In: Fukushima, M. (eds) Functional Analysis in Markov Processes. Lecture Notes in Mathematics, vol 923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093047

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  • DOI: https://doi.org/10.1007/BFb0093047

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11484-0

  • Online ISBN: 978-3-540-39155-5

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