We consider a random walk on the d-dimensional lattice Z^d in mutual interaction with a random environment. The model is a small perturbation of an independent model in which random walk and environment are independent and the latter evolves at each site as an independent Markov chain. We consider the asymptotics in time of the correlations of the environment and prove that they decay as an inverse power.
Interacting random walk in a dynamical random environment. I. Decay of correlations / Boldrighini, Carlo; Minlos, R. A.; Pellegrinotti, A.. - In: ANNALES DE L'INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. - ISSN 0246-0203. - STAMPA. - 30:(1994), pp. 519-558.
Interacting random walk in a dynamical random environment. I. Decay of correlations
BOLDRIGHINI, Carlo;
1994
Abstract
We consider a random walk on the d-dimensional lattice Z^d in mutual interaction with a random environment. The model is a small perturbation of an independent model in which random walk and environment are independent and the latter evolves at each site as an independent Markov chain. We consider the asymptotics in time of the correlations of the environment and prove that they decay as an inverse power.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
