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Moscow Mathematical Journal, 2008, Volume 8, Number 3, Pages 419–431
DOI: https://doi.org/10.17323/1609-4514-2008-8-3-419-431 (Mi mmj316) 		 
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
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DOI: https://doi.org/10.17323/1609-4514-2008-8-3-419-431
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
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Language: English
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
Citation in format AMSBIB
\Bibitem{BolMinNar08}
\by C.~Boldrighini, R.~A.~Minlos, F.~R.~Nardi, A.~Pellegrinotti
\paper Asymptotic Decay of Correlations for a~Random Walk on the Lattice $\mathbf Z^d$ in Interaction with a~Markov Field
\jour Mosc. Math.~J.
\yr 2008
\vol 8
\issue 3
\pages 419--431
\mathnet{http://mi.mathnet.ru/mmj316}
\crossref{https://doi.org/10.17323/1609-4514-2008-8-3-419-431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2483218}
\zmath{https://zbmath.org/?q=an:1155.60045}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261829800002}
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