Large Deviations of Empirical Measures Under Symmetric Interaction |
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| Authors: | W?odzimierz Bryc |
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| Institution: | (1) Department of Mathematics, University of Cincinnati, P.O. Box 210025, Cincinnati, Ohio, 45221-0025 |
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| Abstract: | We prove the large deviation principle for the joint empirical measure of pairs of random variables which are coupled by a  totally symmetric interaction. The rate function is given by an explicit bilinear expression, which is finite only on product measures and hence is non-convex. |
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| Keywords: | large deviations symmetric interaction non-convex rate function |
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