We study the limiting thermodynamic behavior of the normalized sums of spins in multi-species Curie-Weiss models. We find sufficient conditions for the limiting random vector to be Gaussian (or to have an exponential distribution of higher order) and compute the covariance matrix in terms of model parameters.
P.Contucci, M.Fedele (2011). Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models. JOURNAL OF STATISTICAL PHYSICS, 144, 1186-1205 [10.1007/s10955-011-0334-4].
Scaling Limits for Multispecies Statistical Mechanics Mean-Field Models
CONTUCCI, PIERLUIGI;FEDELE, MICAELA
2011
Abstract
We study the limiting thermodynamic behavior of the normalized sums of spins in multi-species Curie-Weiss models. We find sufficient conditions for the limiting random vector to be Gaussian (or to have an exponential distribution of higher order) and compute the covariance matrix in terms of model parameters.File in questo prodotto:
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