Erdős-Rényi laws for Gibbs measures
Definitions of Gibbs measures are given and their large deviation properties are recalled. For a general random field obeying a large deviation principle with uniformity in the lower bound, the Erdős- Rényi law is proved at the level of the empirical field. The result also applies to hypermixing processes. Some other problems are considered related to large deviations for Gibbs measures.
scientific article; zbMATH DE number 599687
scientific article