کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1157068 | 958924 | 2007 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Entropic repulsion for a class of Gaussian interface models in high dimensions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Consider the centred Gaussian field on the lattice ZdZd, dd large enough, with covariances given by the inverse of ∑j=kKqj(−Δ)j, where ΔΔ is the discrete Laplacian and qj∈R,k≤j≤Kqj∈R,k≤j≤K, the qjqj satisfying certain additional conditions. We extend a previously known result to show that the probability that all spins are nonnegative on a box of side-length NN has an exponential decay at a rate of order Nd−2klogNNd−2klogN. The constant is given in terms of a higher-order capacity of the unit cube, analogously to the known case of the lattice free field. This result then allows us to show that, if we condition the field to stay positive in the NN-box, the local sample mean of the field is pushed to a height of order logN.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 117, Issue 1, January 2007, Pages 23–34
Journal: Stochastic Processes and their Applications - Volume 117, Issue 1, January 2007, Pages 23–34
نویسندگان
Noemi Kurt,