منابع مشابه
Stein ’ S Method for Discrete Gibbs Measures
Stein’s method provides a way of bounding the distance of a probability distribution to a target distribution μ. Here we develop Stein’s method for the class of discrete Gibbs measures with a density e , where V is the energy function. Using size bias couplings, we treat an example of Gibbs convergence for strongly correlated random variables due to Chayes and Klein [Helv. Phys. Acta 67 (1994) ...
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We prove that certain Gibbs measures on subshifts of finite type are nonsingular and ergodic for certain countable equivalence relations, including the orbit relation of the adic transformation (the same as equality after a permutation of finitely many coordinates). The relations we consider are defined by cocycles taking values in groups, including some nonabelian ones. This generalizes (half ...
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Recall that E denotes the number of red edges, and F denotes the total number of edges. Then E = ξF = ξNΛ′(1) with ξ defined appropriately. In this lecture we use the saddle point method to derive an approximation to coeff [∏kmax k=2 qk(z) MPk , zE ] , where qk(z) = 12 ((1 + z) n + (1− z)n) = ∑ r even ( k r ) zr. This coefficient counts the number of ways to choose which edges incident to the c...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2008
ISSN: 1050-5164
DOI: 10.1214/07-aap0498