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摘要
This paper is concerned with d = 2 dimensional lattice field models with action , where is a uniformly convex function. The fluctuations of the variable are studied for large |x| via the generating function given by . In two dimensions is proportional to . The main result of this paper is a bound on which is uniform in for a class of convex V. The proof uses integration by parts following Helffer-Sjostrand and Witten, and relies on estimates of singular integral operators on weighted Hilbert spaces.
- 出版日期2014-1
