We consider a model of directed polymers in discrete space and time assuming a Markov dependence of the environment in time. We extend results on the almost-sure validity of the central limit theorem for small randomness in space dimension 3 which were previously obtained for an independent environment by relying on two main technical tools: the analysis of the spectrum of a kind of transfer matrix which allows one to treat the averaged model, and the explicit construction of a multiplicative orthonormal basis in the appropriate L_2 space, together with cluster estimates of cumulants of the basis functions.
Directed polymers in Markov random media / Boldrighini, Carlo; Minlos, R. A.; Pellegrinotti, A.. - In: MARKOV PROCESSES AND RELATED FIELDS. - ISSN 1024-2953. - STAMPA. - 8:(2002), pp. 81-105.
Directed polymers in Markov random media
BOLDRIGHINI, Carlo;
2002
Abstract
We consider a model of directed polymers in discrete space and time assuming a Markov dependence of the environment in time. We extend results on the almost-sure validity of the central limit theorem for small randomness in space dimension 3 which were previously obtained for an independent environment by relying on two main technical tools: the analysis of the spectrum of a kind of transfer matrix which allows one to treat the averaged model, and the explicit construction of a multiplicative orthonormal basis in the appropriate L_2 space, together with cluster estimates of cumulants of the basis functions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
