کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4621976 1339491 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Limiting Gibbs measures of Potts model with countable set of spin values
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Limiting Gibbs measures of Potts model with countable set of spin values
چکیده انگلیسی

We consider a nearest-neighbor Potts model, with countable spin values Φ={0,1,…}, and nonzero external field, on a Cayley tree of order k (with k+1 neighbors). We study translation-invariant ‘splitting’ Gibbs measures. The problem is reduced to the description of the solutions of some infinite system of equations. We give full description of the class of probabilistic measures ν on Φ such that our infinite system of equations has unique solution with respect to each element of this class. In particular we describe the Poisson measures which are Gibbsian.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 336, Issue 1, 1 December 2007, Pages 693-703