The Point of View of the Particle on the Law of Large Numbers for Random Walks in a Mixing
نویسنده
چکیده
The point of view of the particle is an approach that has proven very powerful in the study of many models of random motions in random media. We provide a new use of this approach to prove the law of large numbers in the case of one or higher-dimensional, finite range, transient random walks in mixing random environments. One of the advantages of this method over what has been used so far is that it is not restricted to i.i.d. environments.
منابع مشابه
A PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS
A random walk on a lattice is one of the most fundamental models in probability theory. When the random walk is inhomogenous and its inhomogeniety comes from an ergodic stationary 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 deviation principle (LDP) are ...
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The point of view of the particle is an approach that has proven very powerful in the study of many models of random motions in random media. We provide a new use of this approach to prove the law of large numbers in the case of one or higherdimensional, finite range, transient random walks in mixing random environments. One of the advantages of this method over what has been used so far is tha...
متن کاملThe Point of View of the Particle on the Law of Large Numbers for Random Walks in a Mixing Random Environment
The point of view of the particle is an approach that has proven very powerful in the study of many models of random motions in random media. We provide a new use of this approach to prove the law of large numbers in the case of one or higherdimensional, finite range, transient random walks in mixing random environments. One of the advantages of this method over what has been used so far is tha...
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تاریخ انتشار 2003