Alternative Derivation of the Partition Function for Generalized

Sep 9, 2013 - law of thermodynamics via the fundamental equation,. dE = T dS - P dV + µdN, that ... classroom has led to better retention and underst...

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Abstract. We study the partition function from random matrix theory using a well known connection to orthogonal polynomials, and a recently developed Riemann-Hilbert approach to the computation of detailed asymptotics for these orthogonal polynomials

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Dec 30, 2013 - leading to the important result that approximat- ing log of the Bethe partition ... fields (MRFs), are flexible tools used in many areas includ- ing speech ..... [Ai, 1 − Bi]. Define ηi = min(Ai,Bi), i.e. the closest that qi can com

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Mar 20, 2015 - Let g(r) be a function which depends only on the distance r to the center. For the plane g(r) = e−Γnr2/2R2. (9) ..... detA,. (46) where ηi and ηi are Grassmann variables. With this, it is possible to rewrite the partition function