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Spectral Gap and Logarithmic Sobolev Constant for Continuous Spin Systems Mu Fa CHEN Abstract The aim of this paper is to study the spectral gap and the logarithmic Sobolev constant for continuous spin systems.A simple but general result for estimating the spectral gap of finite dimensional systems is given by Theorem 1.1,in terms of the spectral gap for one- dimensional marginals.The study of this topic provides us a chance,and it is indeed another aim
Spectral Gap and Logarithmic Sobolev Constant for Continuous Spin Systems Mu Fa CHEN Abstract The aim of this paper is to study the spectral gap and the logarithmic Sobolev constant for continuous spin systems. A simple but general result for estimating the spectral gap of finite dimensional systems is given by Theorem 1.1, in terms of the spectral gap for one-dimensional marginals. The study of this topic provides us a chance, and it is another another aim