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Symmetric random walks in random environments. (English) Zbl 0512.60058

60G50 Sums of independent random variables; random walks
82D30 Statistical mechanical studies of random media, disordered materials (including liquid crystals and spin glasses)
60J65 Brownian motion
60K35 Interacting random processes; statistical mechanics type models; percolation theory
Full Text: DOI
[1] Kesten, H., Kozlov, M., Spitzer, F.: Compositio Math.30, 145-168 (1975)
[2] Ritter, G.A.: Random walk in a random environment. Thesis, Cornell University, 1976 · Zbl 0331.31011
[3] Chernov, A.A.: Usp. Phys. Nauk (in Russian)100, 277-328 (1970)
[4] Temkin, D.E.: J. Crystal Growth5, 193-202 (1969) · doi:10.1016/0022-0248(69)90007-4
[5] Solomon, F.: Ann. Prob.3, 1-31 (1975) · Zbl 0305.60029 · doi:10.1214/aop/1176996444
[6] Sinai, Ya.G.: Theor. Prob. Appl. (in press)
[7] Anshelevich, V.V., Vologodskii, A.V.: J. Stat. Phys.25, 419-430 (1981) · Zbl 0512.60059 · doi:10.1007/BF01010797
[8] Alexander, S., Bernasconi, J., Orbach, R.: Phys. Rev. B17, 4311-4314 (1978) · doi:10.1103/PhysRevB.17.4311
[9] Bernasconi, J., Beyeler, H.U., Strässler, S.: Phys. Rev. Lett.42, 819-822 (1979) · doi:10.1103/PhysRevLett.42.819
[10] Alexander, S., Bernasconi, J., Schneider, W.R., Orbach, R.: Rev. Mod. Phys.53, 175-198 (1981) · doi:10.1103/RevModPhys.53.175
[11] Papanicolaou, G., Varadhan, F.R.S.: Boundary value problems with rapidly oscillating random coefficients. In: Colloquia mathematica societatis Janos Bolyai 27, Random fields, Vol. 2, pp. 835-873. Amsterdam, Oxford, New York: North-Holland Publishing Company 1981
[12] Kozlov, S.: Mat. Sb. (in Russian)113, 302-328 (1980)
[13] Friedrichs, K.O.: Perturbation of spectra in Hilbert space. Providence, R.I.: Math. Soc. 1965 · Zbl 0142.11001
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