کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592825 | 1335150 | 2007 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A new criterion for the logarithmic Sobolev inequality and two applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A new criterion for the logarithmic Sobolev inequality and two applications A new criterion for the logarithmic Sobolev inequality and two applications](/preview/png/4592825.png)
چکیده انگلیسی
We give a criterion for the logarithmic Sobolev inequality (LSI) on the product space X1×⋯×XN. We have in mind an N-site lattice, unbounded continuous spin variables, and Glauber dynamics. The interactions are described by the Hamiltonian H of the Gibbs measure. The criterion for LSI is formulated in terms of the LSI constants of the single-site conditional measures and the size of the off-diagonal entries of the Hessian of H. It is optimal for Gaussians with positive covariance matrix. To illustrate, we give two applications: one with weak interactions and one with strong interactions and a decay of correlations condition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 243, Issue 1, 1 February 2007, Pages 121-157
Journal: Journal of Functional Analysis - Volume 243, Issue 1, 1 February 2007, Pages 121-157