In random environment the local time can be very big
Colloque Paul Lévy sur les processus stochastiques (22-26 juin 1987. École Polytechnique, Palaiseau), Astérisque, no. 157-158 (1988), pp. 321-339. 
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     author = {R\'ev\'esz, Pal},
     title = {In random environment the local time can be very big},
     booktitle = {Colloque Paul L\'evy sur les processus stochastiques (22-26 juin 1987. \'Ecole Polytechnique, Palaiseau)},
     series = {Ast\'erisque},
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     publisher = {Soci\'et\'e math\'ematique de France},
     number = {157-158},
     year = {1988},
     zbl = {0716.60087},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1988__157-158__321_0/}
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Révész, Pal. In random environment the local time can be very big, dans Colloque Paul Lévy sur les processus stochastiques (22-26 juin 1987. École Polytechnique, Palaiseau), Astérisque, no. 157-158 (1988), pp. 321-339. http://archive.numdam.org/item/AST_1988__157-158__321_0/

Csörgő, M.-Horváth, L.-Révész, P. (1987) Stability and instability of local time of random walk in random environment. To appear. | DOI | Zbl

Deheuvels, P.-Révész, P. (1986) Simple random walk on the line in random environment. Probability Theory and Related Fields. 72. 215-230. | DOI | Zbl

Erdös, P.-Révész, P. (1988) A new law of iterated logarithm. To appear in Acta Math. Hung. | Zbl

Golosov, A. O. (1984) Localization of Random Walks in One-Dimensional Random Environments. Commun. Math. Phys. 42, 491-506. | DOI | Zbl

Révész, P. (1987) The local time of a random walk in a random environment. New Perspectives in Theoretical and Applied Statistics. Ed. Puri, M.L.-Vilaplana, J.P.-Wertz, W. J.Wiley. 503-518. | Zbl

Sinai, Ja. G. (1982) Limit behaviour of one dimensional random walks in random environment. Theory of Probability and its Applications. 27, 247-258.