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math.PR2013★ 8 cited
Phase transitions for rates of convergence in the Blume-Emery-Griffiths model
Peter Eichelsbacher, Bastian Martschink
We derive rates of convergence for limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume-Emery-Griffith model. The theore…
math.PR2013
On rates of convergence for the overlap in the Hopfield model
Peter Eichelsbacher, Bastian Martschink
We consider the Hopfield model with neurons and an increasing number of randomly chosen patterns and use Stein's method to obtain rates of convergence for the central…
math.PR2010
On rates of convergence in the Curie-Weiss-Potts model with external field
Peter Eichelsbacher, Bastian Martschink
In the present paper we obtain rates of convergence for the limit theorems of the density vector in the Curie-Weiss-Potts model via Stein's Method of exchangeable pairs. Our result…