Random Walks in Fluctuating Random Media
Random Walks in Fluctuating Random Media
Summary: We consider a discrete-time random walk on the lattice \(\mathbb{Z}^\nu\), in mutual interaction with a fluctuating random environment. We extend previous results on the validity of the central limit theorem for the displacement of the random walk. Theorem 2.1 shows that we can remove the condition of strict locality if the interaction is small. Theorem 2.2 shows that in a particular case with strict locality the condition of the interaction can be replaced by a general nondegeneracy condition.
- University of Camerino Italy
Sums of independent random variables; random walks, Discrete-time Markov processes on general state spaces, random environment, diffusion, central limit theorem, Random fields, Central limit and other weak theorems
Sums of independent random variables; random walks, Discrete-time Markov processes on general state spaces, random environment, diffusion, central limit theorem, Random fields, Central limit and other weak theorems
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