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Goldsheid I Simple transient random walks in one-dimensional random environment: the central limit theorem. Hu Y, Shi Z The problem of the most visited site in random environment. Kalikow SA Generalized random walks in random environment. Kesten H The limit distribution of Sinai's random walk in random environment.

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Lyons R, Peres YProbability on trees and networks. Applications to random motions in random environments.

5. Random Walks

Mathieu P, Piatnitski A Quenched invariance principles for random walks on percolation clusters. Molchanov SA Lectures on random media. Peterson J Ph. University of Minnesota Google Scholar. Peterson J, Zeitouni O Quenched limits for transient, zero speed one-dimensional random walk in random environment. Sabot C Random walks in random environment at low disorder. Schmitz T Diffusions in random environment and ballistic behavior. Schmitz T Examples of condition T for diffusions in random environment. Schumacher S Diffusions with random coefficients. Shen L Asymptotic properties of certain anisotropic walks in random media.

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SznitmanAS Brownian motion, obstacles and random media. Sznitman AS Slowdown estimates and central limit theorem for random walks in random environment. Sznitman AS An effective criterion for ballistic behavior of random walks in random environment. Sznitman AS On new examples of ballistic random walks in random environment.

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Theory Related Fields Invariance principles for random walks conditioned to stay positive , Ann. Stat , vol. Caravenna and. DOI : Giacomin, and. Zambotti , Tightness conditions for polymer measures. Zambotti , Infinite volume limits of polymer chains with periodic charges. Markov Process , pp. Cranston, S. Koralov, B. Molchanov, and. Vainberg , Continuous model for homopolymers , CY05] F.

Comets and N. Brownian directed polymers in random environment , pp. Doney and. Greenwood , On the joint distribution of ladder variables of random walk. Deuschel, G. Giacomin, and L.

Random Walks in Random Environment

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    Giacomin , Random polymer models , Gia08 and. Giacomin , Renewal convergence rates and correlation decay for homogeneous pinning models , Electron. Hryniv and. Velenik , Universality of critical behaviour in a class of recurrent random walks. Igl74 and. Iglehart , Functional central limit theorems for random walks conditioned to stay positive , Isozaki and N. Weakly pinned random walk on the wall : pathwise descriptions of the phase transition. Stochastic Process , pp.

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