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- W1604080332 abstract "This chapter discusses the random motions in random media. The chapter begins with the discussion of the following two discrete models: Random walks in random environment (RWRE) and Random conductance model (RCM). There are many different ways to incorporate randomness or disorder, in the medium where a particle undergoes a stochastic motion, the randomness of the medium usually shows up as a way to take in account the disordered nature of the environment where the motion takes place. An important role in the investigation of RCM and of a number of other models of random motions in random media plays by the so-called “method of the environment viewed from the particle.” The chapter discusses a few conditions that are helpful in the study of ballistic behavior. It also discusses the continuous set-up and considers diffusion on R d with local characteristics, that is, covariance matrix and drift that are bounded stationary functions." @default.
- W1604080332 created "2016-06-24" @default.
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- W1604080332 date "2006-01-01" @default.
- W1604080332 modified "2023-09-25" @default.
- W1604080332 title "Course 4 Random motions in random media" @default.
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- W1604080332 doi "https://doi.org/10.1016/s0924-8099(06)80041-7" @default.
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