- 01-260 Roberto Fernandez, Arnaud Le Ny, Frank Redig.
- Variational principle and almost quasilocality for some renormalized
Jul 11, 01
(auto. generated ps),
of related papers
Abstract. We restore part of the thermodynamic formalism for some renormalized
measures that are known to be non-Gibbsian. We first point out that a
recent theory due to Pfister implies that for block-transformed measures
free energy and relative entropy densities exist and are conjugate
convex functionals. We then determine a necessary and sufficient
condition for consistency with a specification that is quasilocal in a
fixed direction. As corollaries, we obtain consistency results for
models with FKG monotonicity with appropriate "continuity rates".
For (noisy) decimations or projections of the Ising model these results
imply almost quasilocality of the decimated "+" and "-" measures.