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On dirichlet forms with random data—Recurrence and homogenization

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Stochastic Processes — Mathematics and Physics II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1250))

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References

  1. T. Brox, A one-dimensional diffusion process in a Wiener media, to appear

    Google Scholar 

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

    Google Scholar 

  3. M. Fukushima, A generalized stochastic calculus in homogenization, Quantum fields—algebras, Processes, L. Streit (ed.) Soringer-Verlag, Wien/New York, 1980.

    Google Scholar 

  4. M. Fukushima, Markov processes and functional analysis, Proc. International Math. Cinf., Chen, Ng, Wick (eds.) North-Holland, 1982.

    Google Scholar 

  5. M. Fukushima, Energy forms and diffusion processes, Mathematics + Physics I, L. Streit (ed.) World Scientific, Singapore, Philadlphia, 1985.

    Google Scholar 

  6. M. Fukushima, On recurrence criteria in the Dirichlet space theory, Proc. Symp. University Warwick, D.Elworthy (ed.), to appear

    Google Scholar 

  7. M. Fukushima and S. Nakao, On spectra of the Schrödinger operator with a white Gaussian noise potential, Z.Wahrscheinlichkeitstheorie verw.Gebiete 37 (1977), 267–274.

    Article  MathSciNet  MATH  Google Scholar 

  8. K. Ichihara, Some global properties of symmetric diffusion processes, Publ. RIMS, Kyoto Univ. 14(1978), 441–486.

    Article  MathSciNet  MATH  Google Scholar 

  9. K. Ichihara, Explosion problems for symmetric diffusion processes, Proc.Japan Acad. Vol.60, No 7 ser A, (1984), 243–245

    Article  MathSciNet  MATH  Google Scholar 

  10. S.M. Kozlov, O.A. Olenik, Kha T’en Ngoan and V.V. Zhikov, Averaging and G-convergence of differential operators, Russian Math. Surveys, 34:5(1979), 69–147.

    Article  Google Scholar 

  11. J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math., 80(1958), 931–953.

    Article  MathSciNet  MATH  Google Scholar 

  12. H. Osada, Homogenization of diffusion processes with random stationary coefficients, Proc. 4-th Japan-USSR Symp. on Prob. Th., Lecture Notes in Math. 1021, Springer-Verlag, 1983.

    Google Scholar 

  13. H. Osada, Homogenization problem for diffusion processes associated with a generalized divergence form, to appear

    Google Scholar 

  14. G. Papanicolaou and S.R.S. Varadhan, Boundary value problems with rapidly oscillating random coefficients, Coll. Math. Soc. Janos Bolyai 27, North-Holland, 1979.

    Google Scholar 

  15. G. Papanicolaou and S.R.S. Varadhan, Diffusions with random coefficients, Essay in honor of C.R.Rao (G.Kallianpur, P.R.Krishnaiah, J.K.Ghosh eds), North-Holland, 1982.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, College of General Education Osaka University, Toyonaka, Osaka, Japan

    M. Fukushima

  2. Department of Mathematics, Osaka University, Toyonaka, Osaka, Japan

    S. Nakao

  3. Department of mathematics, Osaka university, Toyonaka, Osaka, Japan

    M. Takeda

Authors
  1. M. Fukushima
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  2. S. Nakao
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  3. M. Takeda
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Editor information

Sergio Albeverio Philippe Blanchard Ludwig Streit

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© 1987 Springer-Verlag

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Fukushima, M., Nakao, S., Takeda, M. (1987). On dirichlet forms with random data—Recurrence and homogenization. In: Albeverio, S., Blanchard, P., Streit, L. (eds) Stochastic Processes — Mathematics and Physics II. Lecture Notes in Mathematics, vol 1250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077349

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  • DOI: https://doi.org/10.1007/BFb0077349

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17797-5

  • Online ISBN: 978-3-540-47835-5

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