Stochastic Dynamics of Fluctuations in Classical Continuous Systems

Fluctuations in classical continuous systems are studied. In the low activity high temperature regime for these fluctuations a central limit theorem is proven and the space of macroscopic fluctuations is constructed. Furthermore, it is shown that the generator of the microscopic stochastic dynamics in the fluctuation limit converges to the generator of a stochastic dynamics in the space of macroscopic fluctuations.