Weakly Gibbsian measures and quasilocality: A long-range pair-interaction counterexample

Lefevere, R.
(1999) Journal of Statistical Physics — Vol. 95, n° 3-4, p. 785-789 (1999)

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  • Lefevere, R.
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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. (1999). Weakly Gibbsian measures and quasilocality: A long-range pair-interaction counterexample. Journal of Statistical Physics, 95(3-4), 785-789. https://doi.org/10.1023/A:1004511913677 (Original work published 1999)