کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9506019 1340371 2005 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Theory of computation of multidimensional entropy with an application to the monomer-dimer problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Theory of computation of multidimensional entropy with an application to the monomer-dimer problem
چکیده انگلیسی
Consider all colorings of a finite box in a multidimensional grid with a given number of colors subject to given local constraints. We outline the most recent theory for the computation of the exponential growth rate of the number of such colorings as a function of the dimensions of the box. As an application we compute the monomer-dimer constant for the 2-dimensional grid to 9 decimal digits, agreeing with the heuristic computations of Baxter, and for the 3-dimensional grid with an error smaller than 1.35%.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 34, Issue 3, April 2005, Pages 486-522
نویسندگان
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