Summary
We transform nonstationary independent random fields with exponential Radon-Nikodym factors and study the asymptotics of the transformed processes. As applications we deduce conditional limit theorems for such random fields, and we study a Curie-Weiss-type mean-field model of a quenched mixed magnetic crystal. This model has quenched site disorder and frustration but non-random coupling constants. We find a continuous phase transition with critical exponents equal to those of the classical Curie-Weiss theory.
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Seppäläinen, T. Maximum entropy principles for disordered spins. Probab. Th. Rel. Fields 101, 547–576 (1995). https://doi.org/10.1007/BF01202784
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DOI: https://doi.org/10.1007/BF01202784
Mathematics Subject Classification (1991)
- 60F10
- 60K35
- 82B44