T. Bodineau, G. Giacomin
From dynamic to static Large Deviations in boundary driven exclusion particle systems.
(58K, LaTeX 2e )

ABSTRACT.  We consider the large deviations for the stationary measures associated 
to a boundary driven symmetric simple exclusion process. 
Starting from the large deviations for the hydrodynamics and 
following the Freidlin and Wentzell's strategy, we prove that the 
rate function is given by the quasi--potential of the Freidlin and Wentzell theory. 
This result is motivated by the recent developments on the 
non-equilibrium stationary measures by Derrida, Lebowitz and Speer 
and the more closely related dynamical approach by Bertini, De Sole, Gabrielli, Jona Lasinio, Landim.