We consider a discrete-time random walk on Zd, d = 1, 2, . . . in a random environment with Markov evolution in time. We complete and extend to all dimension d > 1 our earlier results on the time decay of the correlations of the “environment from the point of view of the random walk''.
ASYMPTOTIC DECAY OF CORRELATIONS FOR A RANDOM WALK ON THE LATTICE Zd IN INTERACTION WITH A MARKOV FIELD / Boldrighini C,; Minlos, R. A.; Nardi, F.R.; Pellegrinotti, A.. - In: MOSCOW MATHEMATICAL JOURNAL. - ISSN 1609-3321. - STAMPA. - 8:(2008), pp. 419-431. [10.17323/1609-4514-2008-8-3-419-431]
ASYMPTOTIC DECAY OF CORRELATIONS FOR A RANDOM WALK ON THE LATTICE Zd IN INTERACTION WITH A MARKOV FIELD
NARDI, FRANCESCA ROMANA;
2008
Abstract
We consider a discrete-time random walk on Zd, d = 1, 2, . . . in a random environment with Markov evolution in time. We complete and extend to all dimension d > 1 our earlier results on the time decay of the correlations of the “environment from the point of view of the random walk''.
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