Measures for lattice systems

Roberto Fernández

Physica A: Statistical Mechanics and its Applications, 1999, vol. 263, issue 1, 117-130

Abstract: I review issues related with the presence or absence of Gibbsianness in measures describing random fields in lattices. After a brief exposition of the definition and properties of Gibbs measures, I discuss the phenomenon of non-Gibbsianness, its examples, characterization, the proposed classification schemes and notions of generalized Gibbsianness. The review closes with comments on directions for further work.

Keywords: Non-Gibbsian measures; renormalization transformations; quasilocality; almost-Markovianness; generalized Gibbsian measures (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:263:y:1999:i:1:p:117-130

DOI: 10.1016/S0378-4371(98)00497-X

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