کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1155373 | 1378664 | 2016 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction](/preview/png/1155373.png)
چکیده انگلیسی
We investigate unbounded continuous spin-systems with infinite-range interactions. We develop a new technique for deducing decay of correlations from a uniform Poincaré inequality based on a directional Poincaré inequality, which we derive through an averaging procedure. We show that this decay of correlations is equivalent to the Dobrushin-Shlosman mixing condition. With this, we also state and provide a partial answer to a conjecture regarding the relationship between the relaxation rates of non-ferromagnetic and ferromagnetic systems. Finally, we show that for a symmetric, ferromagnetic system with zero boundary conditions, a weaker decay of correlations can be bootstrapped.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 126, Issue 10, October 2016, Pages 2877-2912
Journal: Stochastic Processes and their Applications - Volume 126, Issue 10, October 2016, Pages 2877-2912
نویسندگان
Christopher Henderson, Georg Menz,