Abstract
We exhibit an example of a measure on a discrete and finite spin system whose conditional probabilities are given in terms of an almost everywhere absolutely summable potential but are discontinuous almost everywhere.
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Lefevere, R. Weakly Gibbsian Measures and Quasilocality: A Long-Range Pair-Interaction Counterexample. Journal of Statistical Physics 95, 785–789 (1999). https://doi.org/10.1023/A:1004511913677
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DOI: https://doi.org/10.1023/A:1004511913677