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Wave Propagation in Random Media

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Wave Phenomena

Part of the book series: Woodward Conference ((WOODWARD))

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Abstract

We shall review here the results on the motion of a test particle in a nearest neighbors harmonic chain. For details, we refer to [1], [2]. These results were obtained by D.Durr, N.Zanghi and the author.

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References

  1. Durr D., Naroditsky V., Zanghi N.: Research Center Bi60S, Preprint # 179/86.

    Google Scholar 

  2. Durr D., Naroditsky V., Zanghi N.: Annals of Physics, 1, 178, 1987.

    MathSciNet  Google Scholar 

  3. Hemmen J.L.van.: Dynamics end eniicilyof the infinite harmonk’crystal, Thesis, University of Groningen (1976).

    Google Scholar 

  4. Lanford, O.E., Lebowitz, J.L.: Time evolution and ergodic properties of harmonic systems. in: Lecture Notes in Physics, 38, 144–177, Springer (1975).

    Google Scholar 

  5. Rubin, R.J.: J. of Math. Phys. 1, 309 (1960).

    Article  ADS  Google Scholar 

  6. Rubin, R.J.: J. of Math. Phys. 2, 373 (1961).

    Article  ADS  Google Scholar 

  7. Morita, T., Mori, H.: Prog.Theor. Phys. 56, 498 (1976)

    Article  ADS  Google Scholar 

  8. Durr, D., Goldstein, S., Lebowitz,J.L.: Comm.Math.Phys. 78, 507 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  9. Nelson, E.: Dynamical theoriesofBrownianmotion, Princeton University Press (1967).

    Google Scholar 

  10. Smoluchowski, M. von.: Bull. Acad. Soi. Cracovie, 577 (1906).

    Google Scholar 

  11. Kotami S., Watanabe S.: Krein’s spectral theory of strings and generalized diffusion processes. in: Lecture Notes in Math. 923, 235–259, Springer (1982).

    Google Scholar 

  12. Ford, G.W., Kac, M., Mazur, P.: J. of Math. Phys. 6, 504 (1965).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. Krein, S.: 1 ineinee differentzialnie uravnenia v Banachovom prastranstve Nauka (1967).

    Google Scholar 

  14. O’Connor, A.J., Lebowitz, J.L.: J. of Math. Phys. 15, 692 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  15. Casher, A., Lebowitz, J.L.: J. of Math. Phys. 8, 1701 (1971).

    Article  ADS  Google Scholar 

  16. Delyon, F., Kunz, H., Souillard, B.: J.Phys. A 16, 25 (1983).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Lighthill, M.: Intrcduction to Fourier analysis andgonera/izedfunctions, Cambridge University Press (1958).

    Google Scholar 

  18. Berlin; T.H., Kac, M.: Phys. Rev. 86, 821 (1952).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Ferrari, P.A., Goldstein, S., Lebowitz, J.L.: Diffusion, mob filly and theEinstein relation Preprint (1984).

    Google Scholar 

  20. Calderoni, P., Durr, D.: BiBoS Preprint (1985).

    Google Scholar 

  21. Billingsley, P.: Convergence of probability measures John Wiley and Sons (1968).

    MATH  Google Scholar 

  22. Sussmann, H.J.: Ann. Probab. 6, 19 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  23. Ikeda, N., Watanabe, S.: Stochastic differential equations end diffusion processes North Holland/Kodansha (1981).

    Google Scholar 

  24. Marudin, A.A., Montroll, E.W., Weiss, G.H. (with Ipatova I.P.): Theory of lattice dynamics in the hermonicepproximetìon Academic Press (1963, 1971).

    Google Scholar 

  25. Hardy, G.H.: Divergent series, Oxford University Press (1949).

    MATH  Google Scholar 

  26. Stone, C.: Illinois J. of Math. 7, 638 (1963).

    MATH  Google Scholar 

  27. Freidlin, M.I., Wentzell, A.D.: Rancbm perturbation ofoynamical systems Springer (1983).

    Google Scholar 

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© 1989 Springer-Verlag New York Inc.

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Naroditsky, V. (1989). Wave Propagation in Random Media. In: Lam, L., Morris, H.C. (eds) Wave Phenomena. Woodward Conference. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8856-2_4

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  • DOI: https://doi.org/10.1007/978-1-4613-8856-2_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8858-6

  • Online ISBN: 978-1-4613-8856-2

  • eBook Packages: Springer Book Archive

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