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A note on irreducibility and ergodicity of symmetric markov processes

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Stochastic Processes in Quantum Theory and Statistical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 173))

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References

  1. S. Albeverio, M. Fukushima, W. Karwowski and L. Streit, Capacity and quantum mechanical tunneling, Comm. Math. Physics, 81 (1981), 501–513.

    Google Scholar 

  2. C. Dellacherie and P.A. Meyer, Probabilites et potentiel, Theorie des martingales, Hermann, Paris, 1980.

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  3. J.L. Doob, Stochastic processes, Wiley, 1953.

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

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  5. M. Fukushima, On a stochastic calculus related to Dirichlet forms and distorted Brownian motions, Physics reports (A review sections of physics letters) 77, No.3, 1981, 255–262.

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  6. Y. LeJan, Quasi-continuous functions and Hunt processes, to appear.

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S. Albeverio Ph. Combe M. Sirugue-Collin

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© 1982 Springer-Verlag

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Fukushima, M. (1982). A note on irreducibility and ergodicity of symmetric markov processes. In: Albeverio, S., Combe, P., Sirugue-Collin, M. (eds) Stochastic Processes in Quantum Theory and Statistical Physics. Lecture Notes in Physics, vol 173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11956-6_119

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  • DOI: https://doi.org/10.1007/3-540-11956-6_119

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11956-2

  • Online ISBN: 978-3-540-39546-1

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