99-197 Bertini L., Cirillo E.N.M., Olivieri E.
Renormalization Group Transformations under strong mixing conditions: gibbsianess and convergence of renormalized interactions (124K, TeX Plain) May 28, 99
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. In this paper we study a renormalization-group map: the block averaging transformation applied to Gibbs measures relative to a class of finite range lattice gases, when suitable strong mixing conditions are satisfied. Using block decimation procedure, cluster expansion (like in [HK]) and detailed comparison between statistical ensembles, we are able to prove Gibbsianess and convergence to a trivial (i.e. Gaussian and product) fixed point. Our results apply to 2D standard Ising model {\it at any} temperature above the critical one and arbitrary magnetic field.

Files: 99-197.src( desc , 99-197.uu )