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This article is cited in 3 scientific papers (total in 3 papers)
Asymptotic Decay of Correlations for a Random Walk on the Lattice $\mathbf Z^d$ in Interaction with a Markov Field
C. Boldrighinia, R. A. Minlosb, F. R. Nardic, A. Pellegrinottid a University of Rome "La Sapienza", Mathematics Department
b Institute for Information Transmission Problems, Russian Academy of Sciences
c Department of Mathematics and Computer Science, Eindhoven University of Technology
d Università degli Studi Roma Tre, Department of Mathematics
Abstract:
We consider a discrete-time random walk on $\mathbf Z^d$, $d=1,2,\dots$ in a random environment with Markov evolution in time. We complete and extend to all dimension $d\ge1$ our earlier results on the time decay of the correlations of the “environment from the point of view of the random walk”.
Key words and phrases:
random walks, Markov chains, correlations, environment from the point of view.
Received: July 11, 2007
Citation:
C. Boldrighini, R. A. Minlos, F. R. Nardi, A. Pellegrinotti, “Asymptotic Decay of Correlations for a Random Walk on the Lattice $\mathbf Z^d$ in Interaction with a Markov Field”, Mosc. Math. J., 8:3 (2008), 419–431
Linking options:
https://www.mathnet.ru/eng/mmj316 https://www.mathnet.ru/eng/mmj/v8/i3/p419
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Abstract page: | 248 | References: | 64 |
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