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      Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field

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          Abstract

          We study the inhomogeneous Curie-Weiss model with external field, where the inhomogeneity is introduced by adding a positive weight to every vertex and letting the interaction strength between two vertices be proportional to the product of their weights. In this model, the sum of the spins obeys a central limit theorem outside the critical line. We derive a Berry-Esseen rate of convergence for this limit theorem using Stein's method for exchangeable pairs. For this, we, amongst others, need to generalize this method to a multidimensional setting with unbounded random variables.

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          Ising Critical Behavior of Inhomogeneous Curie-Weiss Models and Annealed Random Graphs

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            Continuous spin models on annealed generalized random graphs

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              On rates of convergence in the Curie-Weiss-Potts model with an external field

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                Author and article information

                Journal
                26 September 2018
                Article
                1809.10173
                b9d2b018-8dd5-41d1-aa36-5b18ea2e20ab

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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