- 06-33 A.C.D.van Enter and C. Kuelske
- Two connections between random systems and non-Gibbsian measures.
Feb 20, 06
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Abstract. In this contribution we discuss the role disordered (or random)
systems have played in the study of non-Gibbsian measures. This role has two main aspects, the distinction between which has not always been fully clear:
1) From disordered systems: Disordered systems can be used as a tool;
analogies with, as well as results and methods from the study of random
systems can be employed to investigate non-Gibbsian properties of a variety of measures of physical and mathematical interest.
2) Of disordered systems: Non-Gibbsianness is a property of various
(joint) measures describing quenched disordered systems.
We discuss and review this distinction and a number of results related to these issues. Moreover, we discuss the mean-field version of the
non-Gibbsian property, and present some ideas how a Kac limit approach
might connect the finite-range and the mean-field non-Gibbsian properties.