Weak convergence of a random walk in a random environment. (English) Zbl 0502.60056
MSC:
| 60G50 | Sums of independent random variables; random walks |
| 82D30 | Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) |
References:
| [1] | Hall, P., Heyde, C. C.: Martingale limit theory and its application. New York: Academic Press 1980 · Zbl 0462.60045 |
| [2] | Krylov, N. V.: An inequality in the theory of stochastic integrals. Theor. Prob. Appl.16, 438-448 (1971) · Zbl 0238.60038 · doi:10.1137/1116048 |
| [3] | Papanicolaou, C., Varadhan, S. R. S.: Diffusions with Random coefficients. In: Essays in Honor of C. R. Rao. Amsterdam: North Holland 1982 · Zbl 0486.60076 |
| [4] | Parthasarathy, K. R.: On the category of ergodic measure. Ill. J. Math.5, 648-655 (1961) · Zbl 0103.28101 |
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