Comparison of finite volume canonical and grand canonical Gibbs measures: the continuous case (Q2577189)

By using the Boltzmann-Gibbs principle for the equilibrium fluctuations of interacting Brownian and Ornstein-Uhlenbeck particles processes, the authors extend results previously obtained by one of them, in the discrete case, on the comparison of finite volume canonical and grand canonical Gibbs measures under a mixing condition. A sharp bound for the difference between the finite volume grand canonical and canonical expectation of local observable is derived.