We study a discrete-time random walk on the lattice Z^d in mutual interaction with a random field. The system is close to an unperturbed one in which the environment evolves independently at each site as an ergodic Markov chain. We prove a CLT under the condition that the chain relaxed to equilibrium fast enough or the coupling with the environment is small. We also prove convergence to equilibrium of the environment from the point of view.
Random walk in dynamic environment with mutual influence / Boldrighini, Carlo; I. A., Ignatyuk; V. A., Malyshev; A., Pellegrinotti. - In: STOCHASTIC PROCESSES AND THEIR APPLICATIONS. - ISSN 0304-4149. - STAMPA. - 41:(1992), pp. 157-177.
Random walk in dynamic environment with mutual influence
BOLDRIGHINI, Carlo;
1992
Abstract
We study a discrete-time random walk on the lattice Z^d in mutual interaction with a random field. The system is close to an unperturbed one in which the environment evolves independently at each site as an ergodic Markov chain. We prove a CLT under the condition that the chain relaxed to equilibrium fast enough or the coupling with the environment is small. We also prove convergence to equilibrium of the environment from the point of view.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
