Asymptotic decay of correlations for a random walk on the lattice \(\mathbb Z^d\) in interaction with a Markov field. (English) Zbl 1155.60045
Summary: We consider a discrete-time random walk on \(\mathbb Z^d\), \(d=1, 2, \dots\) in a random environment with Markov evolution in time. We complete and extend to all dimension \(d\geq 1\) our earlier results on the time decay of the correlations of the “environment from the point of view of the random walk”.
MSC:
| 60K37 | Processes in random environments |
| 82B10 | Quantum equilibrium statistical mechanics (general) |
| 82B41 | Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics |
