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Scaling Limits for Multi-species Statistical Mechanics Mean-Field Models

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Abstract

We study the limiting thermodynamic behavior of the normalized sums of spins in multi-species Curie-Weiss models. We find sufficient conditions for the limiting random vector to be Gaussian (or to have an exponential distribution of higher order) and compute the covariance matrix in terms of model parameters.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, 40127, Bologna, Italy

    Micaela Fedele & Pierluigi Contucci

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  1. Micaela Fedele
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  2. Pierluigi Contucci
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Correspondence to Micaela Fedele.

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Fedele, M., Contucci, P. Scaling Limits for Multi-species Statistical Mechanics Mean-Field Models. J Stat Phys 144, 1186 (2011). https://doi.org/10.1007/s10955-011-0334-4

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  • DOI: https://doi.org/10.1007/s10955-011-0334-4

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