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Information Journal Paper

Title

A PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS

Pages

  5-20

Abstract

 A random walk on a lattice is one of the most fun-damental models in probability theory. When the random walk is inhomogenous and its inhomogeniety comes from an ergodic sta-tionary process, the walk is called a RANDOM WALK IN A RANDOM ENVIRONMENT (RWRE). The basic questions such as the LAW OF LARGE NUMBERS (LLN), the central limit theorem (CLT), and the large de-viation principle (LDP) are not fully understood for RWRE. Some known results in the case of LLN and LDP are reviewed. These results are closely related to the HOMOGENIZATION phenomenon for Hamilton-Jacobi-Bellman equations when both space and time are discretized.

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  • Cite

    APA: Copy

    REZAKHANLOU, F.. (2011). A PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(2), 5-20. SID. https://sid.ir/paper/572429/en

    Vancouver: Copy

    REZAKHANLOU F.. A PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(2):5-20. Available from: https://sid.ir/paper/572429/en

    IEEE: Copy

    F. REZAKHANLOU, “A PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 2, pp. 5–20, 2011, [Online]. Available: https://sid.ir/paper/572429/en

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